sample_exam_questions_4

# sample_exam_questions_4 - CE 335 Old exam questions(with...

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CE 335 Old exam questions (with solutions following) for Chapters 19-22 1] The following differential equation represents the concentration c of a chemical in an effluent stream, as a function of distance x from the discharge point: Dc'' - Uc' - Kc = 0 where D is the diffusivity, U is the fluid velocity, and K is the loss rate of the chemical due to oxidation. Define c 0 , c 1 , c 2 , . .. to be the concentrations when x = 0, 1, 2, . .. respectively. (a) Given the boundary conditions c 0 = 8 and c 10 = 2, write a system of linear equations for the unknown concentrations c 1 , c 2 , . .., c 9 by replacing the derivatives c' and c'' in the equation above with their second-order-accurate centered finite difference approximations. Assume that D, U, and K are constant and known. (b) What characteristic of this linear system makes its solution particularly simple to compute? 2] The volume rate of flow (m 3 / s) through a pipe that drains the bottom of a hemispheric pond is given by Q = π /4 D 2 (2g(h + d))

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sample_exam_questions_4 - CE 335 Old exam questions(with...

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