Numerical Methods for Engineers
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 12, Problem 5P

Chemical/Bio Engineering

Solve the same system as specified in Prob. 12.4, but set Q 12 = Q 54 = 0 and Q 15 = Q 34 = 3 . Assume that the inflows ( Q 01 , Q 03 ) and outflows ( Q 44 , Q 55 ) are the same. Use conservation of flow to recompute the values for the other flows.

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2 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. JankA 1ks of Salt Slits Pump EL Brine mit tark A from tank 13 Tank 13 k 3L zooliters of Ico liters of water with pure water. Saky salt → 777 disslore inside Brine mix is pumped from tank A to B of 82 Brine drainen min by Gf salt (b) Assume all brine mixtures are well-stirred. If we let t be the time in minutes, let x(t) 1ks…
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Remix 4. Direction Fields/Phase Portraits. Use the given direction fields to plot solution curves to each of the given initial value problems. (a) x = x+2y 1111 y = -3x+y with x(0) = 1, y(0) = -1 (b) Consider the initial value problem corresponding to the given phase portrait. x = y y' = 3x + 2y Draw two "straight line solutions" passing through (0,0) (c) Make guesses for the equations of the straight line solutions: y = ax.

Chapter 12 Solutions

Numerical Methods for Engineers

Ch. 12 - Chemical/Bio Engineering 12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering 12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering 12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering 12.22 A truss is...Ch. 12 - Electrical Engineering 12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering 12.25 Solve the circuit in...Ch. 12 - Electrical Engineering 12.26 An electrical...Ch. 12 - Electrical Engineering 12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering 12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering 12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering 12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering 12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering 12.40 A rod on a...

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