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Unformatted text preview: ME 608 Numerical Methods in Heat, Mass, and Momentum Transfer Assignment No: 4 Due Date: March 7, 2011 Instructor: J. Murthy Unless otherwise stated, use the finite volume method for discretization. Please submit an appropriately annotated print out of any code you write. You may need this assignment to study for your midterm exam on March 9, so please be sure to make a copy before submitting.We cannot guarantee that we will have it graded and returned in time for the exam. 1. Consider the steady transport of a scalar φ by pure convection in the square domain of side L = 3 m shown below, with boundary conditions as shown in Fig. 1. The flow field in the domain is given by: u = x 2 + 1 m / s v = y 2 + 2 m / s There is a distributed mass source in the domain, given by S = 4 ( x + y ) kg / m 3 s which brings with it φ = φ s = . 5. We are also given ρ = 2 kg / m 3 . (a) Write the continuity equation and confirm that the flow field satisfies the continuity....
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 Fall '10
 NA
 Numerical Analysis, Momentum Transfer, finite volume method, Generic scalar transport equation, J. Murthy

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