For laminar free convection from a heated vertical surface, the local convection coefficient may be expressed as hx = Cx-1/4, where h, is the coefficient at a distance x from the leading edge of the surface and the quantity C, which depends on the fluid properties, is independent of x. Obtain an expression for the ratio hs/h,., where hx is the average coefficient between the leading edge (x = 0) and the x location. Sketch the variation of hx and hx with x.