Convection in Isothermal Circular Tube with Viscous Heating

11 Convection in Isothermal Circular Tube with Viscous Heating 

Using the fully developed condition, du/dx = 0 and v = 0 the governing equation simplifies to 

Boundary conditions at r = R u = u, at r = 0 u = finite where is the slip velocity. Energy equation in cylindrical coordinate is 

Using the fully developed assumption, v = 0 and = 0, and negligible axial conduction 

For uniform wall temperature case, the boundary conditions are at X = 0 r = Tj (inlet condition) (A) 

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