(6.12) The heat transfer rate per unit width (normal to the page) from a longitudinal section, x2−x1, can be expressed
Posted: Thu Jul 14, 2022 2:51 pm
(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′=hxdx(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.