Question: For parallel boundary layer flow over a flat plate, the thermal integral equation is, (aT u(T. - T)dy = a dy. Let, T, -

For parallel boundary layer flow over a flat plate, the thermal integral

For parallel boundary layer flow over a flat plate, the thermal integral equation is, (aT u(T. - T)dy = a dy. Let, T, - T = (To - T)m(p), u = Um(n), where m(n) =(3 - n2), n = y/8, p = y/8r, and n = pA (where A= dr/8) -12 8(x) 8(x) is the momentum boundary layer thickness, and found to be 12 [2(dm/dn),n /2 = 4.641, dn'n=0 280 and with the above assumed m(n), a where a, = L m(1-m)n 13 87(x) is the thermal boundary layer thickness, and A= 87/8. Show that, for the case of large Pr, A3= (a,)? S, p[1 m(p)]dp Pr-1 Show also that, correspondingly, Nu, = 0.331RE,, 2Pr3

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