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PS_11_2.006S08

# PS_11_2.006S08 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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v1.1 1 PS11 2.006S08 MASSACHUSETTS INSTITUTE OF TECHNOLOGY DEPARTMENT OF MECHANICAL ENGINEERING 2.006 THERMAL FLUIDS II Problem Set 11 Due: Friday, May 9, 2008 Your solutions for this will be accepted in Room 41-202 up to but not after 4 PM on Friday, May 9, 2008. Problem 0 Please read Incropera and DeWitt’s sections on natural convection and Chapter 11 (components) and Chapter 12 (Cycles) of Cravalho and Smith posted on the class website. Problem 1 (I&D 3rd 10.34) Consider a container exposed to saturated vapor, T sat , having a cold bottom surface, T s <T sat and with insulated side walls. Assuming a linear temperature distribution in the liquid, perform a surface energy balance on the liquid-vapor interface to obtain the following expression for the growth rate of the liquid layer. ± ( t ) = 2 k l T sat ² T s ( ) ³ l h fg t ´ µ · ¸ ¹ 0.5 Calculate the thickness of the liquid layer formed in 1 hour for a 200 mm 2 bottom surface maintained at 80 C and exposed to saturated steam at 1 atm. Compare this result with the condensate formed by a vertical plate of the same dimensions for the same period of time. Problem 2 A design for a water heater is shown in the figure below. The design consists of an insulated tank with a copper jacket embedded in the lower portion of the wall of the tank. The copper jacket is in direct contact with the water to be heated. The copper jacket is also in direct thermal contact with two copper tubes that are spiral wound around it. Water coming from the furnace of the building is fed through this spiral wound tubes to heat the water stored in the tank. The water supplied by the furnace is at a temperature of 360 K at a mass flow rate of 0.1 kg/s.

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PS_11_2.006S08 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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