5. If frictional heat is neglected (i.e. at low speeds) the thermal boundary layer at general Prandtl number over an isothermal wall (taken as flat plate) may be solved via a similarity solution based on the non-dimensional variables = y U/vr and 0 = (T-T)/(T-T). It can be readily shown that (n) satisfies the equation 0+ Prf0=0, +250=0, where the function f(n) satisfies the Blasius equation in the form JJ +25=0. Now, solve Eq. 7 (in terms of f) by the following manipulations: (a) Let = g(n), and solve the equation for g to obtain (7) (8) g= const. x exp Prf dn (9) (Use the method of integrating factors for linear first order differential equations, of the general form dy/dr + P(r)y = Q(x).) (b) Use the fact that f satisfies Eq. 8 to rewrite the above expression as g = const x " (c) Using the appropriate boundary conditions, integrate once to obtain = C (f)r dn, and deduce the value of the constant C.