Analytical Solution- Laminar Flow Assume Steady, incompressible, laminar flow Constant fluid properties For flat plate TU Boundary layer equations 0 Continui ax a au au au Momentum l-+1 Energy aT aT 02T Blasius developed a similarity solution to the hydrodynamic equations in 1908 based on the stream function, y(x,y) Heat Transfer Su Yongkang School of Mechanical EngineeringHeat Transfer Su Yongkang School of Mechanical Engineering # 9 Analytical Solution – Laminar Flow • Assume: – Steady, incompressible, laminar flow – Constant fluid properties – For flat plate, • Boundary layer equations • Blasius developed a similarity solution to the hydrodynamic equations in 1908 based on the stream function, (x,y) = 0   +   y v x u 2 2 y u y u v x u u   =   +    2 2 y T y T v x T u   =   +    Continuity Momentum Energy T ,U Ts y