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Ifdp/dx=0 and Pr=1,we obtain: OT'.OT'1 O2T" +V Ox Oy Rer Oy ay Re dy These two equations are of precisely the same form. We know that if dp'/dx=0,u=v. The boundary conditions for these two equations are: Wall: w(x,y=0)=0; T(x,y=0)=0 Freestream:(x)) V T(x,y=o)=1 The boundary conditions are equivalent Therefore,the boundary layer velocity and temperature profiles must be of the same functional form.• If and , we obtain: These two equations are of precisely the same form. We know that if , . The boundary conditions for these two equations are: The boundary conditions are equivalent. Therefore, the boundary layer velocity and temperature profiles must be of the same functional form. / 0 * dp dx  Pr 1 Re 1 2* 2 * * * * * * * y T y T v x T u L         2* 2 * * * * * * * Re 1 y u y u v x u u L         / 0 * dp dx  u V ( , ) 1 1; ( ) Freestream: ( , ) ( , 0) 0 Wall: ( , 0) 0 ; * * * * * * * * * * * * *             T x y V U x u x y T x y u x y
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