Consider the velocity boundary layer profile for flow over a flat plate to be of the form = 1 + 2 y. Applying appropriate boundary conditions, obtain an expression for the velocity profile in terms of the boundary layer thickness δ and the free stream velocity u [infinity] . Using the integral form of the boundary layer momentum equation, obtain expressions for the boundary layer thickness and the local friction coefficient, expressing your result in terms of the local Reynolds Number. Compare your results with those obtained from the exact solution and the integral solution (Section 7.2.1) and the integral solution with a cubic profile (Appendix G).

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Explanation:

A Carnot heat engine receives heat from a reservoir at 900$^\circ{}$C at a rate of 800 kJ/min and rejects the waste heat to the ambient air at 27$^\circ{}$C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -5$^\circ{}$C and transfers it to the same ambient air at 27$^\circ{}$C. Determine (a) the maximum rate of heat removal from the refrigerated space and (b) the total rate of heat rejection to the ambient air. Answers: (a) 4982 kJ/min, (b) 5782 kJ/min

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Explanation:

A large dynamometer operates a pump that circulates a viscous fluid through a restrictive fluid circuit. ... Under Steady Operating Conditions, Heat Loss From The Fluid Is Measured As 150 KW When The Shaft Is Rotating At 1000 Rpm, And 275 KW When The Shaft Speed Increases To 2000 Rpm. The Pump Efficiency Varies ...

Explanation: