Fourth Order Accurate Free Convective Heat Transfer Solutions from a Circular Cylinder
Laminar natural-convective heat transfer from a
horizontal cylinder is studied by solving the Navier-Stokes and
energy equations using higher order compact scheme in cylindrical
polar coordinates. Results are obtained for Rayleigh numbers of 1,
10, 100 and 1000 for a Prandtl number of 0.7. The local Nusselt
number and mean Nusselt number are calculated and compared with
available experimental and theoretical results. Streamlines, vorticity -
lines and isotherms are plotted.
Higher order compact scheme, Navier-Stokes
equations, Energy equation, Natural convection, Boussinesq's
approximation and Mean Nusselt number.