Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 29, Problem 17P
To determine
To calculate: The heat flux for the node
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6. Modelling. Suppose that we have two tanks (A and B) between which a mixture of brine
flows. Tank A contains 200 liters of water in which 50 kilograms of salt has been dissolved
and Tank B contains 100 liters of pure water. Water containing 1kg of salt per liter is
pumped into Tank A at the rate of 5 liters per minute. Brine mixture is pumped into
Tank A from Tank B at the rate of 3 liters per minute and brine mixture is pumped from
Tank A into Tank B at the rate of 8 liters per minute. Brine is drained from Tank B at a
rate of 5 liters per minute.
(a) Draw and carefully label a picture of the situation, including both tanks and the flow
of brine between them.
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by Gf salt (b) Assume all brine mixtures are well-stirred. If we let t be the time in minutes, let x(t)
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Chapter 29 Solutions
Numerical Methods for Engineers
Ch. 29 - 29.1 Use Liebmann’s method to solve for the...Ch. 29 - 29.2 Use Liebmann’s method to solve for the...Ch. 29 - 29.3 Compute the fluxes for Prob. 29.2 using the...Ch. 29 - Repeat Example 29.1, but use 49 interior nodes...Ch. 29 - Repeat Prob. 29.4, but for the case where the...Ch. 29 - 29.6 Repeat Examples 29.1 and 29.3, but for the...Ch. 29 - Prob. 7PCh. 29 - 29.8 With the exception of the boundary...Ch. 29 - Write equations for the darkened nodes in the grid...Ch. 29 - 29.10 Write equations for the darkened nodes in...
Ch. 29 - Apply the control-volume approach to develop the...Ch. 29 - Derive an equation like Eq. (29.26) for the case...Ch. 29 - 29.13 Develop a user-friendly computer program to...Ch. 29 - Employ the program from Prob. 29.13 to solve...Ch. 29 - Employ the program from Prob. 29.13 to solve Prob....Ch. 29 - Use the control-volume approach and derive the...Ch. 29 - 29.17 Calculate heat flux for node in Fig. 29.13...Ch. 29 - 29.18 Compute the temperature distribution for...Ch. 29 - 29.19 The Poisson equation can be written in...
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