Basic concepts-thermal considerations .1.The mean temperature Inviscid flow region Boundary layer region (r,x) Hydrodynamic entrance region Fully developed regior Xid.h For the internal energy E,=∫puc,TdA and E,三imC,Tm So puc,7TdA.∫puc,TA. T.= mcy pumAcy For incompressible flow in a circular tube, 2 uTrdr Heat Transfer #4 Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 4 Basic concepts—thermal considerations • 1. The mean temperature • For the internal energy • So • For incompressible flow in a circular tube,   ro   Ac t u vTdAc E  c  t vTm E m c and   m c v A v c v A v c m u A c uc TdA mc uc TdA T c c           0 0 2 0 2 r m m uTrdr u r T