Boundary Layer Similarity Parameters(Contd The boundary layer equations can be rewritten in terms of the non-dimensional variables Continuity au av 0 x-momentum* au au aP ax at"* aT a a2T ene With boundary conditions Wall u (x 0)=0;v(x,y=0)=0 T( U(x) Freestream: u(x,y [≡lifv=Ul T(x Heat Transfer Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 3 Boundary Layer Similarity Parameters (Cont’d) • The boundary layer equations can be rewritten in terms of the non-dimensional variables Continuity x-momentum energy • With boundary conditions 0 * * * * =   +   y v x u 2* 2 * * * * * * * * * y u x VL P y u v x u u   +   = −   +    2* 2 * * * * * * * y T y VL T v x T u   =   +    ( , ) 1 [ 1if ] ( ) Freestream: ( , ) ( , 0) 0 Wall: ( , 0) 0 ; ( , 0) 0 ; * * * * * * * * * * * * * * * * =  = =  =  = = = = = = =   T x y V U V U x u x y T x y u x y v x y