Package: Numerical Methods For Engineers With 2 Semester Connect Access Card
Package: Numerical Methods For Engineers With 2 Semester Connect Access Card
7th Edition
ISBN: 9781259279911
Author: Steven Chapra
Publisher: McGraw-Hill Education
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Differential Equations
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Chapter 32, Problem 4P

Compute the steady-state distribution of concentration for the tank shown in Fig. P32.4. The PDE governing this system is

D ( ∂ 2 c ∂ x 2 + ∂ 2 c ∂ y 2 ) − k c = 0

and the boundary conditions are as shown. Employ a value of 0.5 for D and 0.1 for k.

Chapter 32, Problem 4P, Compute the steady-state distribution of concentration for the tank shown in Fig. P32.4. The PDE

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Consider a 6-meter metal bar with a uniform initial temperature (across the bar) of 35°C . Suppose it is in thermal contact with an external source of heat given by h(x)= 3−x, 0 ≤ x ≤ 6. So the temperature u(x,t) had the ut=uxx+h(x) permission. Suppose further that the temperature of the ends are kept constant, being at x=0 of 5°C , while at x=6 of 30°C . Under such conditions: Find the steady-state temperature distribution of the bar and the boundary value problem that determines the transient distribution. (no need to solve the problem).

Chapter 32 Solutions

Package: Numerical Methods For Engineers With 2 Semester Connect Access Card

Ch. 32 - Perform the same computation as in Sec. 32.1, but...Ch. 32 - 32.2 Develop a finite-element solution for the...Ch. 32 - Compute mass fluxes for the steady-state solution...Ch. 32 - Compute the steady-state distribution of...Ch. 32 - Two plates are 10cmapart, as shownin Fig.P32.5....Ch. 32 - 32.6 The displacement of a uniform membrane...Ch. 32 - 32.7 Perform the same computation as in Sec....Ch. 32 - The flow through porous media can be described by...Ch. 32 - 32.9 The velocity of water flow through the...Ch. 32 - 32.10 Perform the same computation as in Sec....
Ch. 32 - 32.12 Use Poisson’s equation to compute the...Ch. 32 - 32.13 Perform the same computation as in Sec....Ch. 32 - 32.14 Perform the same computation as in Sec....Ch. 32 - 32.15 An insulated composite rod is formed of two...Ch. 32 - Solve the nondimensional transient heat conduction...

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