Isothermal Parallel Plate Channel Flow without Viscous Heating

8 Isothermal Parallel Plate Channel Flow without Viscous Heating 

For fully developed flow, i = 0. Assuming the axial conduction to be negligible, we have = 0- The energy dissipation ( ) is assumed negligible. Hence, the energy equation reduces to 

the above temperature jump boundary condition can be written as 

The above equation is the dimensionless representation of temperature jump boundary condition. Other boundary conditions are 

The above problem is known as Graetz problem and can be solved as an eigenvalue problem. A similar problem is also seen for thermally developing heat transfer. The solution can be obtained for local Nusselt number (Nu(x)). 

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