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me315_e2_sp2013_sol

# me315_e2_sp2013_sol - Problem 1(a i Answer b < t From the...

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Problem 1 (a) i) Answer: b. δ < δ t From the figure, it can be inferred that the thermal boundary layer, δ t is thicker than the momentum boundary later, δ based on the temperature profile provided. ii) Answer: a. From the fluid to the plate From the temperature profile, it can be say that T > T s . Therefore, the direction of heat transfer should be from the fluid to the plate. iii) Answer: a. δ > δ c The relationship between the momentum boundary layer thickness, δ and the concentration boundary layer thickness, δ c is the following; ! ! c = Sc n ; n = 1 3 , where Sc is the Schmidt number. The Schmidt number is given as Sc = 10, therefore the following relationship can be drawn; ! ! c = 10 ( ) 1 3 = 2.15443 ! ! = (2.15443) " ! c , # ! > ! c

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Problem 1 (b) D 2 = 2 ! D 1 and V 1 = 2 ! V 2 Re 1 = ! V 1 D 1 μ Re 2 = ! V 2 D 2 μ = ! 1 2 V 1 " # \$ % & ' 2 D 1 ( ) μ = Re 1 Pr 1 = Pr 2 Nu = h ! D k = fn Re, Pr ( ) ( Nu 1 = Nu 2 h 1 = Nu 1 ! k D 1 and h 2 = Nu 2 ! k D 2 = Nu 1 ! k 2 ! D 1 = 1 2 ! h 1 ! h 1 = 2 " h 2
Problem 2 (a) Assumptions 1) Steady state conditions 2) Constant properties 3) Radiation is negligible 4)

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