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3013-11 Hw-5(1) (1)

# 3013-11 Hw-5(1) (1) - of the pipe is 300 ° F(b What is the...

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1 of 2 CHE 3013 Rate Operations I Fall 2011 Homework 5 Due: Monday, September 26, 2011 5 Problems, 18 points total 1. (3 points) Consider the flat plate and cylinder shown below. The inner and outer surfaces are at temperatures T 1 and T 2 , respectively. For one-dimensional, steady-state heat transfer with constant properties, sketch the temperature distribution on T-x coordinates for the flat plate and T-r coordinates for the cylinder. In each case, give a brief explanation justifying the shape of the temperature profile. r 1 r 2 x 1 x 2 x (a) (b) 2. (3 points) Problem 3.2 (a) in Incropera, et al., 6 th Edition. 3. (3 points) A 1-inch Schedule 40 carbon steel pipe ( k = 35 Btu/hr ft ° F) carries saturated steam at 300 ° F. The pipe is insulated with a 2-inch thick layer of calcium silicate insulation ( k = 0.036 Btu/hr ft ° F). The temperature at the outside surface of the insulation is 90 ° F. (a) Calculate the heat loss per foot of pipe in Btu/hr assuming the temperature at the inside wall

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Unformatted text preview: of the pipe is 300 ° F. (b) What is the change in temperature across the pipe wall? 2 of 2 4. (6 points) Refer to the steam pipe in Problem 2. The steam temperature is 300 ° F, and the convective heat transfer coefficient inside the pipe is 1000 Btu/hr ⋅ ft ⋅ ° F. The air temperature on the outside of the pipe is 90 ° F, and the outside heat transfer coefficient due to natural convection is 30 Btu/hr ⋅ ft ⋅ ° F. (a) For personnel protection, the outside surface of the insulation must be less than 110 ° F. What is the minimum thickness of insulation in inches. Suggestion: Set up a spreadsheet and use the Solver tool to find the thickness of insulation that makes the surface temperature of the insulation equal to 110 ° F. (b) Calculate the overall heat transfer coefficient in Btu/hr ⋅ ft 2 ⋅ ° F based on the outside area. 5. (3 points) Problem 3.72 in Incropera, et al., 6 th Edition....
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