Consider diffusion and reaction in a layer of soil. The problem is governed by the following equation and boundary conditions a²c =kC az C=C₁ ==0 dC .dc=0 dz C=0 or = 0 ==L Solve the problem using both boundary conditions at z=L using the characteristic equation in the form of exponentials and in the form of hyperbolic functions. Plot the solutions for D/KL=0.1, 1 and 10.
Consider diffusion and reaction in a layer of soil. The problem is governed by the following equation and boundary conditions a²c =kC az C=C₁ ==0 dC .dc=0 dz C=0 or = 0 ==L Solve the problem using both boundary conditions at z=L using the characteristic equation in the form of exponentials and in the form of hyperbolic functions. Plot the solutions for D/KL=0.1, 1 and 10.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider diffusion and reaction in a layer of soil. The problem is governed by the following equation and boundary conditions.
Solve the problem using both boundary conditions at z=L using the characteristic equation in the form of exponentials and in the form of hyperbolic functions. Plot the solutions for D/kL = 0.1,1,and 10.
Transcribed Image Text:CE 5390: Advanced Mathematics for Environmental Engineering
Homework 4
Due: 10/10/22
Consider diffusion and reaction in a layer of soil. The problem is governed
by the following equation and boundary conditions
a²c
D =kC
C=C₁ ==0
dC
C=0 or = 0 ==L
dz
Solve the problem using both boundary conditions at z=L using the
characteristic equation in the form of exponentials and in the form of
hyperbolic functions. Plot the solutions for D/kL=0.1, 1 and 10.
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