q2f06 - SECTION: CBE 320 Transport Phenomena NAME: October...

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SECTION: NAME: CBE 320 Transport Phenomena Exam II Part A: Short Answer 1. (5 pts.) A Newtonian fluid ( ρ = 800 kg/m 3 ) flows through a horizontal, 1 cm diameter circular pipe that is 1 m long. The pressure drop across this pipe is 2 × 10 5 Pa, and the average velocity is 0.5 m/s. What is the value of the friction factor? 2. (5 pts.) Given the time averaged velocity profile, ¯ v z ( r ) , for turbulent flow of a Newtonian fluid in a circular tube, write an expression for the time-averaged viscous force in the z direction on the inner tube wall in terms of this profile. 1
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3. (5 pts.) The following momentum balance equation was derived in Ch. 3 of BSL. Label each term, providing a description of the physical meaning of each term. ∂t ( ρ v ) = -∇ · ( ρ vv ) - ∇ p - ∇ · τ + ρ g 4. (5 pts.) A magnetohydrodynamic pump can drive a fluid by exerting a body force K ( H · H ) [force/volume] on the fluid, where K is a material parameter, and H is the magnetic field. Assuming the fluid is incompressible and Newtonian with constant ρ and μ , write down the equation of motion for this situation in differential form. Recall that the Navier-Stokes equation is
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This note was uploaded on 05/06/2010 for the course CBE 320 taught by Professor Staff during the Fall '08 term at Wisconsin.

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q2f06 - SECTION: CBE 320 Transport Phenomena NAME: October...

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