Numerical solutions of the Navier‐Stokes and energy equations for laminar incompressible flow past parabolic bodies

Numerical solutions are presented for steady two‐dimensional symmetric flow past parabolic bodies in a uniform stream parallel to its axis. For this study, the full Navier‐Stokes equations and energy equation in parabolic coordinates were solved. A second order accurate finite difference scheme on a non‐uniform grid was used. The solution domain does not exclude the leading edge region as it is usually done with boundary layer flows. A wide range of Reynolds number (Re) is studied for different values of Prandtl number (Pr). It is found that the average Nusselt number (Nu) increases as (Pr) increases meanwhile, (Nu) decreases with the increase in (Re).