Answered: QUESTION-) 236 °C steam flows in a…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter1: Basic Modes Of Heat Transfer

Section: Chapter Questions

Problem 1.2DP

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QUESTION-)

236 °C steam flows in a pipe which features are given below. Inner and outer diameters of pipe are 300 mm and 320 mm. Coefficient of heat transmission is 40 W/mK. It's external ambient is air and it's temperature is 20 °C. Take the temperature of the pipe's external surface 180 °C. It is known that the internal temp convection coefficient is 600 W/m^2K and external heat transfer coefficient is 5,9109 W/m^2K The pipe's length is 500 meter. You need to add the radiation in the calculation. The rate of the radiation emissivity is 0.85. You can take the environmental surface temp directly. Please calculate the heat loss of pipe.

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$t e m p e r t a u r e o f s t e a m i n t h e p i p e, T_{s} = 236^{o} c = 236 + 273 = 509 K i n n e r d i a m e t e r o f t h e p i p e, d_{i} = 300 m m = 0.3 m o u t e r d i a m e t e r o f t h e p i p e, d_{o} = 320 m m = 0.32 m t h i c k n e s s o f t h e p i p e, t = d_{o} - d_{i} = 0.32 - 0.3 = 0.02 m c o n d u c t i v i t y o f t h e p i p e k = 40 W / m k e x e r t n a l a i r t e m p e r a t u r e T_{o} = 20^{o} c = 273 + 20 = 293 K t h e t e m p e r a t u r e o f t h e p i p e' s e x t e r n a l s u r f a c e, T_{e} = 180 ° C = 273 + 180 = 453 K i n t e r n a l c o n v e c t i o n c o e f f i c i e n t, h_{i} = 600 W / m^{2} K e x t e r n a l c o n v e c t i o n c o e f f i c i e n t, h_{0} = 5.9109 W / m^{2} K l e n g t h o f t h e p i p e, L = 500 m r a d i a t i o n e m i s s i v i t y i s, 0.85$

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