Momentum and Heat Transfer in Laminar Slip Flow over a Cylinder

Abstract

The vorticity transport and energy equations are solved numerically in a laminar gas flow past a circular cylinder. The slip boundary condition and temperature jump are applied at the cylinder wall. The changes in heat transfer and slip velocity at the cylinder wall due to Knudsen and Reynolds number variations are calculated. The velocity at the wall increases as the Knudsen number increases due to the slip condition. The separation point moves downstream as slip increases. As the Knudsen number increases, the slip increases at the wall and the heat flux between the cylinder wall and the flow decreases. These results show that the heat transfer coefficient and the Nusselt number decrease as the slip increases. When hot wires are used for temperature measurements, failure to include a slip boundary condition will also lead to an error in the temperature measurement.