Numerical Methods for Engineers

Published by McGraw-Hill Science/Engineering/Math
ISBN 10: 0073401064
ISBN 13: 978-0-07340-106-5

Chapter 1 - Mathematical Modeling and Engineering Problem Solving - Problems - Page 22: 1.9


$A_3=3.33 m^{2}$

Work Step by Step

$Q_{in}=Q_{out}$ $Q_1=Q_2+Q_3$ $40 \frac{m^{3}}{s}=20 \frac{m^{3}}{s}+Q_3$ $Q_3=20 \frac{m^{3}}{s}$ $Q=vA$ Since $Q_3=20 \frac{m^{3}}{s}$ and $v_3=6 \frac{m}{s}$ $20=6A_3$ $A_3\approx3.33 m^{2}$
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