Rutherford Aris Bibliography
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This bibliography of Rutherford Aris contains a comprehensive listing of the scientific publications of Aris, including books,
journal A journal, from the Old French ''journal'' (meaning "daily"), may refer to: *Bullet journal, a method of personal organization *Diary, a record of personal secretive thoughts and as open book to personal therapy or used to feel connected to onesel ...
articles, and contributions to other published material.


Books

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Edited books

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Chapters in books

* "Stirred pots and empty tubes" (with A. Varma). In (N.R. Amundson and L. Lapidus, eds.). ''Chemical Reactor Theory''. Englewood Cliffs, NJ: Prentice-Hall, 1977 (pp. 79–155). * "Reactor Steady-State Multiplicity and Stability" (with A. Varma and M. Morbidelli). In (J.J. Carberry and A. Varma, eds.). ''Chemical Reactor and Reaction Engineering''. New York: Marcel Dekker, 1987 (Ch. 15).


Journal articles

* "On the application of Angstrom's method of measuring
thermal conductivity The thermal conductivity of a material is a measure of its ability to heat conduction, conduct heat. It is commonly denoted by k, \lambda, or \kappa and is measured in W·m−1·K−1. Heat transfer occurs at a lower rate in materials of low ...
" (with C.H. Bosanquet) Br. J. Appl. Phys. 5, 252–255 (1954). * "On the
dispersion Dispersion may refer to: Economics and finance *Dispersion (finance), a measure for the statistical distribution of portfolio returns * Price dispersion, a variation in prices across sellers of the same item *Wage dispersion, the amount of variat ...
of a solute in a fluid flowing through a tube" Proc. Roy. Soc, A235, 67–77 (1956). * "On shape factors for irregular
particles In the physical sciences, a particle (or corpuscle in older texts) is a small localized object which can be described by several physical or chemical properties, such as volume, density, or mass. They vary greatly in size or quantity, from s ...
–I: The steady state problem. Diffusion and reaction." Chem. Eng. Sci. 6, 262–268 (1957). Reprinted in "Classic papers from Chemical Engineering Science." Chem. Eng. Sci. 50, 3897–3903 (1995). * "On shape factors for irregular particles–II: The transient problem. Heat transfer to a packed bed." Chem. Eng. Sci. 7, 8–14 (1957). * "Some remarks on longitudinal mixing or
diffusion Diffusion is the net movement of anything (for example, atoms, ions, molecules, energy) generally from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in Gibbs free energy or chemical p ...
in fixed beds" (with N.R. Amundson). AIChE Journal 3, 280–282 (1957). * "Stability of some chemical systems under control" (with N.R. Amundson). Chem. Eng. Prog. 53, 227–230 (1957). * "An analysis of chemical reactor stability and control, parts I–III" (with N.R. Amundson). Chem. Eng. Sci. 7, 121–155 (1958). * "On the dispersion of linear kinematic
wave In physics, mathematics, engineering, and related fields, a wave is a propagating dynamic disturbance (change from List of types of equilibrium, equilibrium) of one or more quantities. ''Periodic waves'' oscillate repeatedly about an equilibrium ...
s." Proc. Roy. Soc. A245, 268–277 (1958). * "
Statistical Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
analysis of a reactor: Linear theory" (with N.R. Amundson). Chem. Eng. Sci. 9, 250–262 (1958). * "Diffusion and reaction in flow system of Turner's structures." Chem. Eng. Sci. 10, 80–87 (1959). * "On the dispersion of a solute by diffusion, convection and exchange between phases." Proc. Roy. Soc. A252, 538–550 (1959). * "Notes on the diffusion-type model for longitudinal mixing in flow (Levenspiel, Smith and Van der Laan)." Chem. Eng. Sci. 10, 266–267 (1959). * "The longitudinal diffusion coefficient in flow through a tube with stagnant pockets." Chem. Eng. Sci. 11, 194–198 (1959). * "An analysis of chemical reactor stability and control–IV: Mixed derivative and proportional control." (with D.J. Nemanic, J.W. Tiemey, and N. R. Amundson). Chem. Eng. Sci. 11, 199–206 (1959). * "Some optimization problems in chemical engineering" (with R. Bellman and R. Kalaba). Chem. Eng. Symp. Ser. 56, 95–100 (1960). * "On optimum cross-current extraction" (with D.F. Rudd and N.R. Amundson). Chem. Eng. Sci. 12, 88–97 (1959). * "On Denbigh's optimum
temperature Temperature is a physical quantity that quantitatively expresses the attribute of hotness or coldness. Temperature is measurement, measured with a thermometer. It reflects the average kinetic energy of the vibrating and colliding atoms making ...
sequence." Chem. Eng. Sci. 12, 56–64 (1960). * "Studies in optimization–I: The optimum design of adiabatic reactors with several beds." Chem. Eng. ScL, 12, 243–252 (1960). * "Studies in optimization–II: Optimum temperature gradients in tubular reactors." Chem. Eng. Sci. 13, 18–29 (1960). * "Studies in optimization–Ill: The optimum operating conditions in sequences of stirred tank reactors." Chem. Eng. Sci. 13, 75–81 (1960). * "The optimal design of stagewise adiabatic reactors." Paper presented at the AIChE/ORSA Symposium on Optimization in Chemical Engineering, New York, 1960. * "On the dispersion of a solute in pulsating flow through a tube." Proc. Roy. Soc. A259, 370–376 (1960). * "Chemical reactor design: For homogeneous flow reactions, a digital
computer A computer is a machine that can be Computer programming, programmed to automatically Execution (computing), carry out sequences of arithmetic or logical operations (''computation''). Modern digital electronic computers can perform generic set ...
can determine the optimum combination of reactor type and operating conditions" (with G.T. Westbrook). Ind. Eng. Chem. 53, 181–186 (1961). * "Studies in optimization–IV: The optimum conditions for a single reaction." Chem. Eng. Sci. 13, 197–206 (1961). * "The determination of optimum operating conditions by the methods of dynamic programming." Z. Elektrochem. 65, 229–244 (1961). * "Tubular reactor sensitivity" (with J. Coste and N.R. Amundson). A.I.Ch.E.J. 7, 124–128 (1961). * "A study of
iterative Iteration is the repetition of a process in order to generate a (possibly unbounded) sequence of outcomes. Each repetition of the process is a single iteration, and the outcome of each iteration is then the starting point of the next iteration. ...
optimization" (with D. F. Rudd and N.R. Amundson) A.I.Ch.E.J. 7, 376–384 (1961). * "Optimal bypass rates for sequences of stirred tank reactors" Can. J. Chem. Eng. 39, 121–126 (1961). * "
Heat transfer Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy (heat) between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, ...
in fluidised and moving beds" (with N. R. Amundson). Paper presented at the Proceedings of the Symposium on the Interaction between Fluids and Particles, London, 20–22 June 1962. * "Studies in optimization–V: The bang-bang control of a batch reactor" (with N. Blakemore). Chem. Eng. Sci. 17, 591–598 (1962). * "On optimal adiabatic reactors of combined types." Can. J. Chem. Eng. 40, 87–92 (1962). * "Adaptive control" Br. Chem. Eng. 7, 896–900 (1962). * "Stability of nonadiabatic packed bed reactors" (with S.L. Liu and N.R. Amundson). Ind. Eng. Chem. Fund. 2, 12–20 (1963). * "Independence of chemical reactions" (with H. S. Mah). Ind. Eng. Chem. Fund. 2, 90–94 (1963). * "Optimal adiabatic bed reactors for sulfur dioxide with cold shot cooling" (with K.-Y. Lee). Ind. Eng. Chem. Proc. Des.–Dev. 2, 300–306 (1963). * "Control of a cold shot adiabatic bed reactor with a decaying catalyst" (with K.-Y. Lee). Ind. Eng. Chem. Proc. Des.–Dev. 2, 306–309 (1963). * "Dynamic programming in countercurrent systems" (with D. Yesberg). /. Math. Anal. Appl. 7, 421–424 (1963). * "Review of progress in control engineering." Br. Chem. Eng. 8, 432–441 (1963). * "The fundamental arbitrariness in
stoichiometry Stoichiometry () is the relationships between the masses of reactants and Product (chemistry), products before, during, and following chemical reactions. Stoichiometry is based on the law of conservation of mass; the total mass of reactants must ...
." Chem. Eng. Sci. 18, 554–555 (1963). * "The
algebra Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...
of systems of second-order reactions." Ind. Eng. Chem. Fund. 3, 28–37 (1964). * "An analysis of chemical reactor stability and control–VIII: The direct method of Lyapunov. Introduction and applications to simple reactions in stirred vessels" (with R.B. Warden and N.R. Amundson). Chem. Eng. ScL 19, 149–172 (1963). * "An analysis of chemical reactor stability and control–IX: Further investigations into the direct method of Lyapunov" (with R.B. Warden and N.R. Amundson). Chem. Eng. Sci. 19, 173–190 (1964). * "Studies in optimization–VI: The application of Pontryagin's method to the control of a stirred reactor" (with CD. Siebenthal). Chem. Eng. Sci. 19, 729–746 (1964). * "Studies in optimization–VII: The application of Pontryagin's methods to the control of batch and tubular reactors" (with CD. Siebenthal). Chem. Eng. Sci. 19, 747–761 (1964). * "An adaptive control of the batch reactor–I: Identification of kinetics" (with H.H.-Y. Chien). Automatica 2, 41–58 (1964). * "The adaptive control of a batch reactor–II: Optimal path control" (with H.H.-Y. Chien). Automatica 2, 59–71 (1964). * "Optimization of multistage cyclic and branching systems by serial procedures" (with G.L. Nemhauser and D.J. Wilde). A.I.Ch.E.J. 10, 913–919 (1964). * "''N''-segment least-squares approximation" (with M.M. Denn). A.I.A.A.J. 8, 432 (1964). * "Optimal policies for first-order consecutive reversible reactions" (with R. S. H. Mah). Chem. Eng. Sci. 19, 541–553 (1964). * "Chemical reactor analysis: A morphological approach." Ind. Eng. Chem. 56, 23–27 (1964). * "An elementary derivation of the maximum principle" (with M. M. Denn). A.I.Ch.E.J. 11, 367–368 (1965). * "The dynamics of reactors of mixed type: I. The nature of the steady state" (with CE. Gall). Can. J. Chem. Eng. 43, 16–22 (1965). * "A normalization for the Thiele modulus (letter with correction in November issue)." Ind. Eng. Chem. Fund. 4, 227–229 (1965). * "Stability estimates for the stirred tank reactor" (with W. Regenass). Chem. Eng. ScL 20, 60–66 (1964). * "Second order variational equations and the strong maximum principle" (with M.M. Denn). Chem. Eng, Scu 20, 373–384 (1965). * "Generalized Euler equations" (with M.M. Denn). ZAMP 16, 290–295 (1965). * "
Green's function In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions. This means that if L is a linear dif ...
s and optimal systems: Necessary conditions and an iterative technique" (with M.M. Denn). Ind. Eng. Chem. Fund. 4, 7–16 (1965). * "Green's functions and optimal systems: The gradient direction in decision space" (with M.M. Denn). Ind. Eng. Chem. Fund. 4, 213–222 (1965). * "Green's functions and optimal systems: Complex interconnected structures" (with M.M. Denn). Ind. Eng. Chem. Fund. 4, 248–257 (1965). * "Prolegomena to the rational analysis of systems of chemical reactions." Arch. Ration. Mech. Anal. 19, 81–99 (1965). * "An adaptive control of the batch racton–III: Simplified parameter estimation" (with W.H. Ray). Automatica 3, 53–71 (1965). * "On simple exchange waves in fixed beds" (with N.R. Amundson and R. Swanson). Proc. Roy. Sac. A286, 129–139 (1965). * "On the theory of reactions in continuous mixtures" (with G.R. Gavalas). Phil. Trans. Roy. Soc. A 260, 351–393 (1966). * "Is sophistication really necessary? Ind. Eng. Chem. 58, 32–37 (1966). * "Rationale for optimal reactor design, (with W.H. Ray). Ind. Eng. Chem. Fund. 5, 478–483 (1966). * "Questing control of chemical reactors." Paper presented at the Annual Meeting of the American Institute of Chemical Engineers, Mexico City, October 1966. * "
Bacteria Bacteria (; : bacterium) are ubiquitous, mostly free-living organisms often consisting of one Cell (biology), biological cell. They constitute a large domain (biology), domain of Prokaryote, prokaryotic microorganisms. Typically a few micr ...
l growth as an optimal process" (with C.H. Swanson, A.G. Fredrickson, and H.M. Tsuchiya). /. Theor. Biol. 12, 228–250 (1966). * "Compartmental analysis and the theory of residence time distributions." In K.B. Warren, (ed.,). Intracellular Transport, (pp. 167–197). New York: Academic Press, 1966. * "Studies in optimization–VIII: Questing control of a stirred tank reactor" (with R.N. Schindler). Chem. Eng. Sci. 22, 319–336 (1967). * "Studies in optimization–IX.: The questing control of a two phase reactor" (with R.N. Schindler). Chem. Eng. Scu 11, 337–344 (1967). * "Studies in optimization–X: Questing control with an economic criterion" (with R.N. Schindler). Chem. Eng. Sci. 11, 345–352 (1967). * "An adaptive control of the batch reactor–IV: A more sophisticated controller" (with W.H. Ray). Automatica 4, 139–161 (1967). * "Simple control policies for reactors with catalyst decay" (with A. Chou and W.H. Ray). Trans. Insm Chem. Engrs. 45, 153–159 (1967). * "On the mathematical status of the pseudosteady state hypothesis of biochemical kinetics" (with F.G. Heineken and H.M. Tsuchiya). Math. Biosci. 1, 95–113 (1967). * "Transition between regimes in gas-solid reactions." Ind. Eng. Chem. Fund. 6, 315–318 (1967). * "On the accuracy of determining rate constants in
enzymatic An enzyme () is a protein that acts as a biological catalyst by accelerating chemical reactions. The molecules upon which enzymes may act are called substrates, and the enzyme converts the substrates into different molecules known as produc ...
reactions" (with F.G. Heineken and H.M. Tsuchiya). Math. Biosci. 1, 115–141 (1967). * "Prolegomena to the rational analysis of systems of chemical reactions–II: Some addenda. Arch. Ration. Mech. Anal. 11, 356–364 (1968). * "On what sort of place, if any, theoretical and mathematical studies should have in graduate chemical engineering research." Chem. Eng. Educ. 1, 36–39 (1967). * "Sufficient conditions for the uniqueness of the steady state." Chem. Eng. ScL 23, 1501 (1968). * "Optimal control for
pyrolytic Pyrolysis is a process involving the separation of covalent bonds in organic matter by thermal decomposition within an inert environment without oxygen. Etymology The word ''pyrolysis'' is coined from the Greek-derived elements ''pyro-'' ( ...
reactors" (with A.P. Jackman). Paper presented at the Fourth European Symposium, Brussels, 1968. * "Canon and method in the arts and sciences (Olin Lecture, Yale University)." Chem. Eng. Educ. 3, 48–52 (1969). * "On stability criteria of chemical reaction engineering." Chem. Eng. Sci 14, 149–169 (1968). * "A note on mechanism and memory in the
kinetics Kinetics (, ''movement'' or ''to move'') may refer to: Science and medicine * Kinetics (physics), the study of motion and its causes ** Rigid body kinetics, the study of the motion of rigid bodies * Chemical kinetics, the study of chemical ...
of biochemical reactions." Math. Biosci 3, 421–429 (1968). * "Communications on the theory of diffusion and reaction–I: A complete parametric study of the first-order, irreversible exothermic reaction in a flat slab of catalyst" (with D.W. Drott). Chem. Eng. Sci. 24, 541–551 (1969). * "Communications on the theory of diffusion and reaction–II: The effect of shape on the effectiveness factor" (with S. Rester). Chem. Eng. Sci. 24, 793–795 (1969). * "Communications on the theory of diffusion and reaction–Ill: The simulation of shape effects" (with S. Rester and J. Jouven). Chem. Eng. Sci. 24, 1019–1022 (1968). * "Communications on the theory on diffusion and reaction–IV: Combined effects of internal and external diffusion in the non-isothermal case" (with B. Hatfield). Chem. Eng. Sci. 24, 1213–1222 (1969). * "Mathematical aspects of chemical reaction" Ind. Eng. Chem. 61, 17–29 (1969). * "Some problems in chemical reactor analysis with stochastic features: Linear systems with fluctuating coefficients" (with T.M. Pell, Jr.). Ind. Eng. Chem. Fund. 8, 339–345 (1969). * "A remark on the equilibrium theory of the parametric pump." Ind. Eng. Chem. Fund. 8, 603 (1969). * "Problems in chemical reactor analysis with stochastic features: Control of linearized distributed systems on discrete and corrupted observations" (with T.M. Pell, Jr.). Ind. Eng Chem. Fund. 9, 15–20 (1970). * "Chemical kinetics and the ecology of mathematics," Am. Scient. 58, 419–428 (1970). * "Conmiunications on the theory of diffusion and reaction–V: Findings and conjectures concerning the multiplicity of solutions." (with I. Copelowitz). Chem. Eng. Sci. 25, 906–909 (1970). * "Communications on the theory of diffusion and reaction–VI: The effectiveness of spherical catalyst particles in steep external gradients" (with I. Copelowitz). Chem. Eng. Sci. 25, 885–896 (1970). * "Studies in optimization–XI: An experimental test of questing controller" (with J.M. Wheeler). Chem. Eng. Sci. 25, 445–462 (1970). * "On the theory of multicomponent
chromatography In chemical analysis, chromatography is a laboratory technique for the Separation process, separation of a mixture into its components. The mixture is dissolved in a fluid solvent (gas or liquid) called the ''mobile phase'', which carries it ...
" (with H.-K. Rhee and N.R. Amundson). Phil. Trans. Roy. Soc. A 267, 419–455 (1970). * "Algebraic aspects of formal chemical kinetics." In M. Bunge (ed.). Studies in the Foundations, Methodology and Philosophy of Science, (Vol. 4, pp. 119–129). New York: Springer-Verlag, 1971. * "Multicomponent adsorption in continuous countercurrent exchangers" (with H.-K. Rhee and N.R. Amundson). Phil. Trans. Roy. Soc. A 269, 187–215 (1971). * "A note on a form of the Emden–Fowler Equation" (with B.N. Mehta). /. Math. Anal. Appl. 36, 611–621 (1971). * "A note on the structure of the transient behavior of chemical reactors." Chem. Eng. J. 2, 140–141 (1970). * "Communications on the theory of diffusion and reaction–VII: The isothermal pth order reaction" (with B.N. Mehta). Chem. Eng. Sci. 26, 1699–1712 (1971). * "Transients in distributed chemical reactors part 1: A simplified model" (with D.L. Schruben). Chem. Eng. J. 2, 179–188 (1970). * "Surface diffusion and reaction at widely separated sites" /. Catal. 22, 282–284 (1971). * "Variational bounds for problems in diffusion and reaction" (with W. Strieder). /. Inst. Maths Appl. 8, 328–334 (1971). * "On the realistic and interesting parameter ranges in the theory of diffusion and reaction" (with M.C. Mercer). Latin Am. J. Chem. Eng. Appl. Chem. 2, 149–162 (1971). * Some problems in the analysis of transient behavior and stability of chemical reactors. First International Symposium on Chemical Reaction Engineering no. 109. Washington, D.C.: American Chemical Society, 1972. * "Communications on the theory of diffusion and reaction–VIII: Variational bounds on the effectiveness factor" (with S. Rester). Chem. Eng. Sci. 27, 347–360 (1972). * "On a mechanism for autocatalysis" (with D.R. Schneider and N.R. Amundson). Chem. Eng. Sci. 27, 895–905 (1972). * "Mobility, permeability, and the pseudosteady-state hypothesis." Math. BioscL 13, 1–8 (1972). * "Diffusive and electrostatic effects with insolubilized enzymes" (with M.L. Schuler and H.M. Tsuchiya). /. Theor. Biol. 35, 67–76 (1972). * "A method of representing the nonisothermal effectiveness factor for fixed bed calculations" (with J.G. Jouven). A.I.Ch.E.J. 18, 402–408 (1972). * "The control of a stirred tank reactor with hysteresis in the control element–I: Phase space analysis" (with J.C. Hyun). Chem. Eng. Sci. 27, 1341–1359 (1972). * "The control of a stirred tank reactor with
hysteresis Hysteresis is the dependence of the state of a system on its history. For example, a magnet may have more than one possible magnetic moment in a given magnetic field, depending on how the field changed in the past. Plots of a single component of ...
in the control element–II: Describing function analysis" (with J.C. Hyun). Chem. Eng. Sci. 27, 1361–1370 (1972). * "On the equations for the movement and deformation of a reaction front" (with R.H. Knapp). Arch. Ration. Mech. Anal. 44, 165–177 (1972). * "Some problems common to chemical engineering and the biological sciences." Paper presented at the Proceedings of the Scandinavian Congress of Chemical Engineering, November 1971. * "Some interactions between problems in chemical engineering and the biological sciences" In G. Lindner and K. Nyberg (eds.). Environmental Engineering, (pp. 215–225). Dordrecht-Holland: D. Reidel Publishing Co., 1973. * "Transients in distributed chemical reactors. Part 2: Influence of diffusion in the simplified model" (with I.H. Farina). Chem. Eng. J. 4, 149–170 (1972). * "Asymmetries generated by diffusion and reaction, and their bearing on active transport through membranes" (with K.H. Keller). Proc. Natl. Acad Sci. USA 69, 777–779 (1972). * "An analysis of chemical reactor stability and sensitivity–XIV: The effect of the steady state hypothesis" (with D.R. Schneider and N.R. Amundson). Chem. Eng, ScL 28, 885–896 (1973). * "Hydrodynamic focusing and electronic cell-sizing techniques" (with M.L. Shuler and H.M. Tsuchiya). Appl. Microbiol. 24, 384–388 (1972). * "Diffusive and electrostatic effects with insolubilized enzymes subject to substrate inhibition" (with M.L. Shuler and H.M. Tsuchiya). /. Theor. Biol. 41, 347–356 (1973). * "Communications on the theory of diffusion and reaction–IX: Internal pressure and forced flow for reactions with volume change" (with J.P.G. Kehoe). Chem. Eng. ScL 28, 2094 – 2098 (1973). * "Communications on the theory of diffusion and reaction–X. A generalization of Wei's bounds on the maximum temperature" (with C. Georgakis). Chem. Eng. Sci. 29, 291–293 (1974). * "The theory of diffusion and reaction: A chemical engineering symphony (1973 ASEE Award lecture)." Chem. Eng. Educ. 8, 20–40 (1973). * Counter-current moving bed chromatographic reactors (with S. Viswanathan). ACS Symposium Series no. 133. Washington, D.C.: American Chemical Society, 1974. * "An analysis of the countercurrent moving bed reactor" (with S. Viswanathan). SIAM–AMS Proc. 8, 99–124 (1974). * "Phenomena of multiplicity, stability, and symmetry." Ann. NY Acad. Sci. 231, 86–98 (1974). * "On the ostensible steady state of a dynamical system." Rend. Lincei Ser. W//57, 1–9 (1974). * "What's the use of a Ph.D. anyway?" AIChE Stud. Memb. Bull. 15, 5–7 (1974). * "On the concept of the steady state in chemical reactor analysis" (with S. Viswanathan). Chem. Eng. Commun. 2, 1–4 (1975). * "The design of stirred reactors with hollow fiber catalysts for Michaelis–Menten kinetics" (with C. Georgakis and P.C.-H. Chan). Biotechnol. Bioeng. 57, 99–106 (1975). * "Diffusion, reaction and the pseudo-steady-state hypothesis" (with C. Georgakis). Math. Biosci. 25, 237–258 (1975). * "Diffusion and first order reaction in a general multilayered membrane" (with B. Bunow). Math. Biosci. 26, 157–174 (1975). * "Carberry's ultimate paper." Chem. Eng. Educ. 9, 118–119 (1975). * "Diffusion and reaction in mycelial pellets." J. Ferment. Technol. 53, 899–901 (1975). * "Some thoughts on the nature of academic research in chemical engineering." Chem. Eng. Educ. 10, 2–5 (1976). * "Computational methods for the tubular chemical reactor" (with A. Varma, C. Georgakis, and N.R. Amundson). Comput. Meth. Appl. Mech. Eng. 8, 319–330 (1976). * "How to get the most out of an equation without really trying." Chem. Eng. Educ. 10, 114–124 (1976). * "Geometric correction factors for the Weisz diffusivity cell" (with W.W. Meyer and L.L. Hegedus). /. Catal. 42, 135–138 (1976). * "Modeling the monolith: Some methodological considerations" (with S.T. Lee). Paper presented at the Fourth International-Sixth European Symposium on Chemical Reaction Engineering, Heidelberg, 6–8 April 1976. * "Studies in the control of tubular reactors–I: General considerations" (with C. Georgakis and N.R. Amundson). Chem. Eng. ScL 32, 1359–1369 (1977). * "Studies in the control of tubular reactors–II: Stabilization by modal control" (with C. Georgakis and N.R. Amundson). Chem. Eng. ScL 32, 1371 – 1379 (1977). * "Studies in the control of tubular reactors–III: Stabilization by observer design" (with C. Georgakis and N.R. Amundson). Chem. Eng. Sci. 32, 1381–1387 (1977). * "Academic chemical engineering in an historical perspective." Ind. Eng. Chem. Fund. 16, 1–5 (1977). * "The sciences and the humanities" (with M. Penn). Chem. Eng. Educ. 11, 68–73, 85 (1977). * "Dynamics of a chemostat in which two organisms compete for a common substrate" (with A.E. Humphrey). Biotechnol Bioeng. 19.1375–1386 (1977). * "Re, k and ir. A conversation on some aspects of mathematical modelling." Appl Math. Modelling 1, 386–394 (1977). * "Art and craft in the modelling of chemical processes." Paper presented at the Proceedings of the First International Conference on Mathematics Modelling, St. Louis, MO, 29 August–1 September 1977. * "On the effects of radiative heat transfer in monoliths" (with S.-T. Lee). Chem. Eng. Sci. 32, 827–837 (1977). * "The infiltration of lymphocytes and macrophages into a site of infection." In A.I. Bell, A.S. Perelson, and G.H. Pimbley (eds.). Theoretical Immunology, (Vol. 8). New York: Marcel Dekker, 1978. * "Finite stability regions for large-scale systems with stable and unstable subsystems" (with M. Morari and G.S. Stephanopoulos). Int. J. Com. 26, 805–815 (1977). * "Models of the catalytic monolithic." Paper presented at the Levich Conference,
Oxford Oxford () is a City status in the United Kingdom, cathedral city and non-metropolitan district in Oxfordshire, England, of which it is the county town. The city is home to the University of Oxford, the List of oldest universities in continuou ...
, 1978. 151. Poisoning in monolithic catalysts. American Chemical Society Symposium Series no. 65. Washington, D.C.: American Chemical Society, 1978. * "An analysis of thermal desorption mass spectra. I" (with C.-M. Chan and W.H. Weinberg). Appl. Surf. Sci. 1, 360–376 (1978). * "Temperature gradients in porous catalyst pellets." Ind. Eng. Chem. Fund. 17, 309–313 (1978). * "Horses of other colors: Some notes on seminars in a chemical engineering department." Chem. Eng. Educ. 12, 148–151 (1978). * "Chemical reactors and some bifurcation phenomena." Ann. NY Acad. Sci. 316, 314–331 (1979). * "De exemplo simulacrorum continuorum discretalumque." Arch. Rat. Mech. Anal. 70, 203–209 (1979). * "Measurement of leukocyte motility and chemotaxis parameters using a quantitative analysis of the under-
agar Agar ( or ), or agar-agar, is a jelly-like substance consisting of polysaccharides obtained from the cell walls of some species of red algae, primarily from " ogonori" and " tengusa". As found in nature, agar is a mixture of two components, t ...
ose migration assay" (with D. Lauffenburger). Math. Biosci. 44, 121–138 (1978). * "A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor" (with G.S. Stephanopoulos and A.G. Frederickson). Math. Biosci. 45, 99–135 (1979). * "Stability analysis of structured chemical engineering systems via decomposition" (with M. Morari and G.S. Stephanopoulos). Chem. Eng. Sci. 34, 11–15 (1979). * "The role of dimensionless parameters in the Briggs–Haldane and Michaelis–Menten approximations" (with P.S. Crooke and R.D. Tanner). Chem. Eng. Sci. 34, 1354–1357 (1979). * "Creeping fronts and traveling
wave In physics, mathematics, engineering, and related fields, a wave is a propagating dynamic disturbance (change from List of types of equilibrium, equilibrium) of one or more quantities. ''Periodic waves'' oscillate repeatedly about an equilibrium ...
s (E. Wicke
festschrift In academia, a ''Festschrift'' (; plural, ''Festschriften'' ) is a book honoring a respected person, especially an academic, and presented during their lifetime. It generally takes the form of an edited volume, containing contributions from the h ...
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University of Minnesota The University of Minnesota Twin Cities (historically known as University of Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Twin Cities of Minneapolis and Saint ...
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atmosphere An atmosphere () is a layer of gases that envelop an astronomical object, held in place by the gravity of the object. A planet retains an atmosphere when the gravity is great and the temperature of the atmosphere is low. A stellar atmosph ...
indicating the effects of mixing between the surface layer and the air aloft" (with D.D. Reible and F.H. Shair). Atmos. Environ. 17, 25–33 (1983). * "The interpretation of sorption and diffusion data in porous solids." Ind. Eng. Chem. Fund. 22, 150–151 (1983). * "Theoretical and experimental aspects of catalyst impregnation" (with S.-Y. Lee). In G. Poncelet, P. Grange, and P.A. Jacobs (eds.), Studies in Surface Science and Catalysis, (Vol. 16; pp. 35–45). Amsterdam: Elsevier, 1983. * "Effectiveness of catalytic archipelagos–I: Regular arrays of regular islands" (with D.-Y. Kuan and H.T. Davis). Chem. Eng. Sci. 38, 719–732 (1983). * "Effectiveness of catalytic archipelagos–II: Random arrays of random islands" (with D.-Y. Kuan and H.T. Davis). Chem. Eng. Sci. 38, 1569–1579 (1983). * "On the dynamics of a stirred tank with consecutive reactions" (with D.V. Jorgensen). Chem. Eng. Sci. 38, 45–53 (1983). * Chemical reaction engineering as an intellectual discipline. American Chemical Society Symposium Series no. 226. Washington, D.C.: American Chemical Society 1983. * "R.H. Wilhelm's influence on the development of chemical reaction engineering (from the Wilhelm lectures at
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Comp. Maths. Appls. 11, 5–34 (1985). * "Numerical computation of invariant circles of maps" (with I.G. Kevrekidis, L.D. Schmidt, and S. Pelikan). Physica 16D, 243–251 (1985). * "On the permeability of membranes with parallel, but interconnected, pathways." Math. Biosci. (Bellman Memorial Issue) 11, 5–16 (1985). * "Analysis and performance of a countercurrent moving-bed chromatographic reactor" (with T. Petroulas and R.W. Carr, Jr.). Chem. Eng. Set 40, 2233–2240 (1985). 235a. * "Some common features of periodically forced reacting systems" (with I.G. Kevrekidis and L.D. Schmidt). Chem. Eng. Sci. 41, 1263–1276 (1986). * "The stirred tank forced" (with I.G. Kevrekidis and L.D. Schmidt). Chem. Eng. Sci. 41, 1549–1560 (1986). * "Yet who would have thought the old man to have had so much blood in him?'‚ÄîReflections on the multiplicity of steady states of the stirred tank reactor" (with W.W. Farr). Chem. Eng. 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Vazquez, and R.W. Carr). Chem. Eng. Commun. 52, 311 (1987). * "Anisotropic membrane transport" (with K.-M. Jem and E.L. Cussler). Chem. Eng. Commun. 55, 5–17 (1987). * "On apparent second-order kinetics" (with T.C. Ho). A.I.Ch.E.J. 33, 1050–1051 (1987). * "A global study of Kondepudi's pitchfork" (with X.-H. Song). Sadhana 10, 1–12 (1987). * "Degenerate Hopf bifurcations in the CSTR with reactions A → B → C" (with W.W. Farr). Can. Math. Soc. Conf. Proc. 8, 397–418 (1987). * "A general theory of anisotropic membranes" (with E.L. Cussler) Chem. Eng. Commun. 58, 3–16 (1987). * "Nonlinear dynamics and strange attractors" (with K.S. Chang). Kor. J. Chem. Eng. 4, 95–104 (1987). * "A sequence of scripts." Scribe 41, 7–12 (1987). * "Ann Hechle's 'In the Beginning.' Call. Revs 4, 41–46 (1987). * "Painting with words: The art of Donald Jackson." Call. Revs 6, 18–28 (1987). * "Forced oscillations of chemical reactors." In P. Gray et al. 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New Literary Hist. 20, 323–340 (1988–1989). * "Theories of precipitation induced by dissolution" (with J. Kopinsky and E.L. Cussler) A.I.Ch.E.J. 34, 2005–2010 (1988). * "Effects of velocity on homogeneous-heterogeneous ignition and extinction" (with R.J. Olsen and L.D. Schmidt). Combust. Sci. Tech., 99 (1995). * "On reactions in continuous mixtures." A.I.Ch.E.J. 35, 539–548 (1989). * "On the limits of facilitated diffusion" (with E.L. Cussler and A. Bhown). /. Memb. Sci. 43, 149–164 (1989). * "Continuous lumping of nonlinear chemical kinetics" (with G. Astarita). Chem. Eng. Proc. 26, 63–69 (1989). * "On aliases of differential equations" (with G. Astanta). Rend. Lincei Ser. VIII 83, 7–ll (1989). * "Military technology and garrison organization: Some observations on Anglo-Saxon military thinking in light of the burghal hidage" (with B.S. Bachrach). Tech. CuL 31, 1–17 (1990). * "Forced oscillations of chemical reactors with multiple steady states" (with G.A. Cordonier and L.D. Schmidt). Chem. Eng. Sci. 45, 1659–1675 (1990). * "The simulated countercurrent moving bed chromatographic reactor" (with A.J. Ray, A.L. Tonkovich, and R.W. Carr). Chem. Eng. Sci. 45, 2431–2437 (1990). * "The effects of phase transitions, surface diffusions, and defects on surface catalyzed reactions: Fluctuations and oscillations" (with D.G. Vlachos and L.D. Schmidt). J. Chem. Phys. 93, 8306–8313 (1990). * "Manners Makyth Modellers (Fifth Danckwerts Lecture)." Trans. I.Ch.E. 69, 165–174 (1991). * "The ignition criteria for stagnation-point flow: Semenov–Frank–Kamenetski or van't Hoff' (with X¬ª Song and L.D. Schmidt). Combust. Set Tech. 75, 311–331 (1991). * "Chemical engineering and the liberal education today." Paper presented at the 25th Phillips Lecture, Oklahoma State University, 26 April 1991. * "Steady states and oscillations in homogeneousheterogeneous reaction systems" (with X. Song and L.D. Schmidt). Chem. Eng. ScL 46, 1203–1215 (1991). * "Diffusion and reaction in a Mandelbrot lung." Chaos, Sol. Fract. 1, 583–593 (1991). * "Multiple indices, simple lumps and duplicitous kinetics." In A.V. Sapre and F.J. Krambeck (eds.), Chemical Reactions in Complex Mixtures, (pp. 25–41). New York: Van Nostrand Reinhold, 1991. * "The mathematics of continuous mixtures." In G. Astarita and S.F. Sandler (eds.). Kinetics and Thermodynamic Lumping of Multicomponent Mixtures. Elsevier, 1991. * "The effect of phase transitions, surface diffusion, and defects on heterogeneous reactions: Multiplicities and fluctuations" (with D.G. Vlachos and L.D. Schmidt). Surface Sci. 249, 248–264 (1991). * "Buoyancy-driven flows of a radiatively participating fluid in a vertical cylinder heated from below" (with A.G. Salinger, S. Brandon, and J.J. Derby). Proc. Roy. Soc. A442, 313–341 (1992). * "Dynamics of homogeneous-heterogeneous reactors" (with R.J. Olsen, W.R. Williams, and L.D. Schmidt). Chem. Eng. Sci. 47 2505–2510 (1992). * "Kinetics of facet formation during growth and etching of crystals" (with D.G. Vlachos and L.D. Schmidt). In K.S. Liang, M.P. Anderson, R.F. Bruisma, and G.G. Scoles (eds.). Interface Dynamics and Growth, (Vol. 237, pp. 145150). 1992. * "Structures of small metal clusters–II: Phase transitions and isomerization" (with D.G. Vlachos and L.D. Schmidt). /. Chem. Phys. 96, 6891–6901 (1992). * "Structure of small catalyst particles" (with D.G. Vlachos and L.D. Schmidt). Chem. Eng. Sci. 47, 2769–2774 (1992). * "Structures of small metal clusters–I: Low temperature behavior" (with D.G. Vlachos and L.D. Schmidt). /. Chem. Phys. 96, 6880–6890 (1992). * "Bifurcation and global stability in surface catalyzed reactions using the Monte Carlo method" (with D.G. Vlachos and L.D. Schmidt). In H. Swinney, R. Aris, and D. Aronson (eds.). Patterns and Dynamics in Reactive Media, (Vol. 37, pp. 187–206). New York: Springer-Verlag, 1991. * "Spatial and temporal patterns in catalytic oscillations" (with D.G. Vlachos, F. Smith, and L.D. Schmidt). Physica A 188, 302–321 (1992). * "Comments on mitigation of backmixing via catalyst dilution." Chem. Eng. Sci. 47, 507508 (1992). * "Modeling the spontaneous ignition of coal stockpiles" (with A.G. Salinger and J.J. Derby). A.I.Ch.E.J. 40, 991–1004 (1993). * "Ends and beginnings in the mathematical modelling of chemical engineering systems." Chem. Eng. ScL 48, 2507–2517 (1993). * "Products in methane combustion near surfaces" (with D.G. Vlachos and L.D. Schmidt). A.I.Ch.E.J. 40, 1018–1025 (1994). * "Ignition and extinction of flames near surfaces: Combustion of CH in air" (with D.G. Vlachos and L.D. Schmidt). A.I.Ch.E.J. 40, 1005–1007 (1994). * "Ignition and extinction of flames near surfaces: Combustion of H2 in air" (with D.G. Vlachos and L.D. Schmidt). Comb. 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References

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