The heat transfer rate per unit width (normal to the
Chapter 6, Problem 6.13(choose chapter or problem)
The heat transfer rate per unit width (normal to the page)from a longitudinal section, x2?x1, can be expressed asq?12?12(x2?x1)(Ts?T?), where12is the averagecoefficient for the section of length (x2?x1). Considerlaminar flow over a flat plate with a uniform temperatureTs. The spatial variation of the local convection coeffi-cient is of the form hx?Cx?1/2, where Cis a constant.hhh02h(W/m2K)04020Case 1Case 2Case 3Case 3V, TCollector tubeParabolic reflectorCase 2V, TCollector tubeParabolic reflector420Chapter 6?Introduction to ConvectionCH006.qxd 2/24/11 3:32 PM Page 420 (a) Beginning with the convection rate equation in theform dq??hxdx(Ts?T?), derive an expressionfor 12in terms of C, x1, and x2.(b) Derive an expression for 12in terms of x1, x2, andthe average coefficients 1and 2, corresponding tolengths x1and x2, respectively
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