EN.540.304 Midterm: Exam 2 Practice Problems No Solutions
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Many analogies exist between energy and momentum transfer. Throughout the problem we will assume that the velocity distribution is fully developed (parabolic). The differential equation governing the temperature distribution and the boundary conditions are given below. a. ) Assuming unidirectional flow in (the x- direction) between two parallel plates, solve for the velocity profile. Render the energy equation above and the corresponding boundary conditions dimensionless. Hint: use simple affine stretching to obtain a similarity rule, similarity variable in canonical form. Note: you don"t have to get the transformed ode or solve it to do this! Consider the pipe system depicted below. a. ) All pipes are 1cm id smooth tubes. b. ) Modify your answer by accounting for the head losses in the pipes and the fittings. Correlations for friction factors in pipes and fittings are given below. You may take the total length of pipe to be 100 cm. Consider the system depicted below.
