For flow over a slightly curved isothermal surface, the temperature distribution inside the boundary layer ?t may be approximated by the polynomial
where y is the distance normal to the surface.
(a) By applying appropriate boundary conditions, evaluate the constants a, b, c, and d.
(b) Then obtain a dimensionless relation for the temperature distribution in the boundary layer.
GIVEN
Flow over a slightly curved isothermal surface
Polynomial temperature distribution:
FIND
(a) The values for a, b, c, and d
(b) A dimensionless relation for the temperature distribution in the boundary layer
SKETCH
Let: Bulk fluid temperature = T?
Temperature of the surface = Ts
(a) The boundary conditions (BC) are
Solving this set of 4 equations with 4 unknowns yields
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