Fluid Mechanics: Fundamentals and Applications
Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 15, Problem 46CP

Gerry creates the computational domain sketched in Fig. P1 5-46C to simulate flow through a sudden contraction in a two-dimensional duct. He is interested tithe time-averaged pressure drop and the minor loss coefficient created by the sudden contraction. Gerry generates a grid and calculates the flow with a CFD code, assuming stead, turbulent. incompressible flow (with a turbulence model).
(a) Discuss one way that Gerry could improve his computational domain and grid so that be would get the some results in approximate) half the computer time.
(b) There may be a fundamental flaw in how Germ’ has set up his computational domain. What is ir? Discuss what should be different about Gerry’s setup. Chapter 15, Problem 46CP, Gerry creates the computational domain sketched in Fig. P1 5-46C to simulate flow through a sudden FIGURE P15-46C

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First Order Differential Equations are inherent in almost all aspects of engineering, e.g., electronics (RC/RL circuits or charge/discharge of capacitors), thermodynamics (i.e., Newton’s Law of Cooling), mechanical systems (stress/strain) etc. In fact, virtually anywhere there are time varying dynamics.  You need to demonstrate how different engineering systems models are used to solve them using first-order differential equations.
Q2 Consider a conical receiver shown in Figure 2. The inlet and outlet liquid volumetric flow rates are Fl and F2, respectiveily. ccorresponding radius in r) Figure 2 Conicul tank Develop the model equation with necessary assumption(s) with respect to the liquid height h. ii. What type of mathematical model is this? 1 R %3D Hint: Model: = F, – Fz, where the volume V=r h=nh, since = substitute V and Fz expressions and get the final form. %3D %3D %3D dt H.
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