Consider airflow over a flat plate of length L = 1 m under conditions for which transition occurs at xc = 0.5 m based on the critical Reynolds number, Re xc = 5 x 105.

(a) Evaluating the thermo physical properties of air at 350 K, determine the air velocity.

(b) In the laminar and turbulent regions, the local convection coefficients are, respectively, hlam(x) = Clam x–0.5 and hturb = Cturb x–0.2 where, at T = 350 K, Clam = 8.845 W/m 312 . K, Cturb = 49.75 W/m1.8 ∙ K, and x has units of m. Develop an expression for the average convection coefficient, hlam(x), as a function of distance from the leading edge, x, for the laminar region, 0 < x < xc'

(c) Develop an expression for the average convection coefficient, hturb(x), as a function of distance from the leading edge. x, for the turbulent region, xc < x < L.

(d) On the same coordinates, plot the local and average convection coefficients, hx and hx, respectively, as a function of x for 0 < x < L.