(6.12) The heat transfer rate per unit width (normal to the page) from a longitudinal section, x2​−x1​, can be expressed

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answerhappygod
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(6.12) The heat transfer rate per unit width (normal to the page) from a longitudinal section, x2​−x1​, can be expressed

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6 12 The Heat Transfer Rate Per Unit Width Normal To The Page From A Longitudinal Section X2 X1 Can Be Expressed 1
6 12 The Heat Transfer Rate Per Unit Width Normal To The Page From A Longitudinal Section X2 X1 Can Be Expressed 1 (83.68 KiB) Viewed 41 times
(6.12) The heat transfer rate per unit width (normal to the page) from a longitudinal section, x2​−x1​, can be expressed as q12′​=h12​​(x2​−x1​)(Ts​− T∞​), where h12​​ is the average coefficient for the section of length (x2​−x1​). Consider laminar flow over a flat plate with a uniform temperature TS​. The spatial variation of the local convection coefficient is of the form hx​=Cx−1/2, where C is a constant. (a) Beginning with the convection rate equation in the form dq′=hx​dx(Ts​− T∞​ ), derive an expression for h12​​ in terms of C,x1​, and x2​. (b) Derive and expression for h12​​ in terms of x1​,x2​, and the average coefficients h1​​ and h2​​, corresponding to lengths x1​ and x2​, respectively.
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