Analytical Solution - Laminar Flow(Contd Blasius solution summary: but since re, =moor Rex V X Conclusions from the blasius solution ane an Solution for the thermal boundary layer: a- Pr aT f 0 For pr≥0.6 aT' 0.332Pr k Expressing the local convection coefficient as u at h=k Then the local nusselt number is Ea 7.21 Nu,=0.332 Re /2 Pr /3 For 0.6sPrs50 k Heat Transfer Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 11 Analytical Solution – Laminar Flow (Cont’d) • Blasius solution summary: • Conclusions from the Blasius solution: • Solution for the thermal boundary layer: – For Pr  0.6 – Expressing the local convection coefficient as: – Then the Local Nusselt numberis: x u x x u Re 5 x but, since Re 5 = x =  =           u 1  x and   and  0 2 Pr * 2 2 * =   +     T f T 3 1 η 0 * = 0.332Pr   =  T η 0 * =    =   T x u h k x For 0.6  Pr  50 Eq. 7.21 1/ 2 1/3 0.332Re Pr x x x k h x Nu  =