Two thick walls are separated by a vacuum gap of thickness L. A cylinder of diameter D runs between the walls. All surfaces are highly polished (their emissivity is small). The walls are at temperatures Tb1 and T2 at locations far from the cylinder. Draw the thermal resistance network and then derive an expression for the shape factor, S, associated with conduction between Tb1 and Th.2. Use this expression to determine the value of the shape factor for D = 0.01 m, L= 0.5 m, and k = 23 W/m-K.

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
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Two thick walls are separated by a vacuum gap of thickness L. A cylinder of diameter D runs between the walls. All surfaces are highly
polished (their emissivity is small). The walls are at temperatures T1 and T6,2 at locations far from the cylinder. Draw the thermal
resistance network and then derive an expression for the shape factor, S, associated with conduction between Tb1 and Tb.2. Use this
expression to determine the value of the shape factor for D = 0.01 m, L = 0.5 m, and k = 23 W/m.K.
S =
i
Transcribed Image Text:Two thick walls are separated by a vacuum gap of thickness L. A cylinder of diameter D runs between the walls. All surfaces are highly polished (their emissivity is small). The walls are at temperatures T1 and T6,2 at locations far from the cylinder. Draw the thermal resistance network and then derive an expression for the shape factor, S, associated with conduction between Tb1 and Tb.2. Use this expression to determine the value of the shape factor for D = 0.01 m, L = 0.5 m, and k = 23 W/m.K. S = i
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