Transcription of Fluid Mechanics Problems for Qualifying Exam
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Name: Fluid Mechanics Problems for Qualifying Exam(Fall 2014)1. Consider a steady, incompressible boundary layer with thickness, (x), that de-velops on a flat plate with leading edge atx= 0. Based on a control volume analysisfor the dashed box, answer the following:a) Provide an expression for the mass flux mbased on ,V ,and .b) Provide an expression for the wall shear stress, w,basedon ,V ,uand .c) Consider a linear velocity profile,u(y). Provide an expression for was a functionof ,V andd ) The expression from (c) by definition equals w= u/ yaty= 0. Providean expression for (x)basedonRex= V x/ ) Provide the skin friction coefficient,cf= V2 , ) Based on the boundary layer shape, do you expect the skin friction coefficientfor the Blasius boundary layer to be larger or smaller than your answer from (e)?12. Consider a uniform flow with velocityUin the positivexdirection combinedwith two free vortices of equal strength located along they-axis.
8. 2-D potential flow theory a. Definition of potential flow b. Linear superposition c. Basic potential flow elements 9. Fully developed pipe and duct flow a. Laminar and turbulent flow solution methods b. Moody diagram 10. External flow a. Boundary layer approximations, displacement and momentum thickness b.
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