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Problem 3: A model equation for chemical reactive flow in a one-dimensional reactor is given as дс дс -+u- at ax -kC, Ox² where C is the dimensionless concentration of the species, u is the velocity, D is a diffusion coefficient, k is a reaction rate, and x,t are the distance from the reactor and time, respectively. (3a) Determine the dimensions of D, k;

Problem 3: A model equation for chemical reactive flow in a one-dimensional reactor is given as дс дс -+u- at ax -kC, Ox² where C is the dimensionless concentration of the species, u is the velocity, D is a diffusion coefficient, k is a reaction rate, and x,t are the distance from the reactor and time, respectively. (3a) Determine the dimensions of D, k;

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Problem 3: A model equation for chemical reactive flow in a one-dimensional reactor is given as ac ac +u. ôt dx :DOC-KC, where C is the dimensionless concentration of the species, u is the velocity, D is a diffusion coefficient, k is a reaction rate, and x,t are the distance from the reactor and time, respectively. (3a) Determine the dimensions of D, k;
Transcribed Image Text:Problem 3: A model equation for chemical reactive flow in a one-dimensional reactor is given as ac ac +u. ôt dx :DOC-KC, where C is the dimensionless concentration of the species, u is the velocity, D is a diffusion coefficient, k is a reaction rate, and x,t are the distance from the reactor and time, respectively. (3a) Determine the dimensions of D, k;
(3b) Use a characteristic length L, and an average velocity V as parameters to rewrite the above equation in a dimensionless form and discuss the Pi groups appearing in the dimensionless equation.
Transcribed Image Text:(3b) Use a characteristic length L, and an average velocity V as parameters to rewrite the above equation in a dimensionless form and discuss the Pi groups appearing in the dimensionless equation.
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