. 6. (one bonus problem, 20%) Derive equation 7.38 using equations 7.23 and 7.36. Namely, the local Nusselt number for a flow at any location x on a flat plate is Nu(x) = 0.332 · Re(x) 1/2. Pr 1/3 for laminar and Nu(x) = 0.0296 Re(x) 4/5. Pr 1/3 for Turbulent. Please derive that the average Nusselt number for a mixed flow on the plate up to L, Turbulent N Laminar Re 4 Nu₁ = (0.037 - Re-A). Pr1/3 NUL 4 A = 0.037 Re - 0.664 · Re .

HOMEWORK-2 Considering the steady-state laminar flow of a liquid with density p and viscosity p in a vertical tube of length L and radius R; a) Show the momentum flux and velocity profile in the figure. b) Determine the momentum flux distribution, the velocity distribution, the maximum velocity (Vzmax), and the average velocity (Vzaverage) expressions. PL L R ! Po 1111111 Flow in

May I ask if a block of copper falling into a tank filled with water is considered a closed or open steady system?

2. Two incompressible viscous fluids of the same density p flow, one on top of the other, down an inclined plane making an angle a with the horizontal. Their viscosities are µi and µ2, the lower fluid is of depth hị and the upper fluid is of depth h2. Show that: u,(y) = (hj +h2. 2 (t)- )y - 1 2 gsin a V1 so that the velocity of the lower fluid u¡(y) is dependent on the depth h2, but not the viscosity, of the upper fluid. Why is this?

A Newtonian fluid with constant density flows in a parallel-plate apparatus that separated by a distance d and length L as shown in Figure 1. The top plate is moving in z-direction with a velocity uw. Derive the velocity distribution of the fluid, vz as a function of y using equation of motion in Appendix 1. List the postulates and you may neglect the gravity force.

Could you explain every step thank you

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