For the situation described in Example 6.4, the bound- ary layer can be tripped into a turbulent state by applying roughness to the surface of the flat plate at a particular x-location. Hence the location where transi- tion occurs, xc, can be moved upstream relative to the transition location associated with the smooth plate of the example. Calculate and plot the average convection coefficient over the entire plate h for roughness applied where, at T = 350 K, Clam = 8.845 W/m3/2 · K, Cturb = over the range 0 x L. What values of x provide 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.