The steady laminar forced convection
boundary layer flow of an incompressible viscous fluid over a moving thin
needle with variable wall temperature is considered. The governing boundary layer
equations are first transformed into no-dimensional forms. These equations are then transformed into similarity equations using the similarity variables, which are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The
numerical solutions are obtained for a blunt-nosed needle (m=0). Numerical computations are carried out for various values of the dimensionless
parameter of the problem, namely the parameter a representing the needle size, with Prandtl number, Pr = 0.7 (air) and 6.8 (water at room temperature). It has been found that the heat transfer characteristics are significantly influenced by these parameters. However, the Prandtl number has no effect on the flow characteristics due to the decoupled boundary layer equations.
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