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hw6-010

# hw6-010 - Department of Chemical Engineering University of...

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Department of Chemical Engineering University of California, Santa Barbara ChE120B Heat Transfer Winter 2010 Homework: Out - Wednesday, March 3, 2010 Due - Friday, March 12 2010 1.The following data is available for heat transfer to corn syrup solutions flowing through a heated 0.75 inch inside diameter pipe. In class, we derived the approximate relationship using the friction factor and the Reynolds analogy to get St =f/2. St is the Stanton number = Nu/(Re Pr). How well does this equation fit the data presented below? Solution 1: Pr = 590 Solution 2: Pr = 93 Re Nu Re Pr 2580 80 3840 88 3750 135 5450 125 5000 200 7340 181 6000 235 9419 224 7200 280 11210 267 17130 368 21120 441 2. A correlation commonly recommended for predicting the heat transfer to a fluid in turbulent flow through a pipe is the Dittus-Boelter equation: Nu = 0.023 Re 0.8 Pr b in which b = 0.4 for heating the fluid and b= 0.3 for cooling the fluid. Does either of these correlations fit the data above better than the simple relationship given in Problem 1? What is your new-found experience on the relative accuracy of Nusselt number correlations? 3. For flow through a pipe of length L and diameter, D, with an isothermal wall, we can write the temperature of the fluid as follows 2 1 4 exp w w T T StL

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hw6-010 - Department of Chemical Engineering University of...

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