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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 mid-term 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
- Numerical Analysis, Momentum Transfer, finite volume method, Generic scalar transport equation, J. Murthy