Transient free convection on an isothermal sphere
Abstract
A numerical study of transient laminar free convection from an isothermal sphere subjected to a step increase in temperature relative to the surrounding fluid is presented. Boundary layer equations for the flow in the neighborhood of the bottom stagnation point are solved numerically by using the differencedifferential method and a fivepoint GregoryNewton backward difference formula with a uniform step size. The developments of velocity and temperature profiles are shown, noting that the temperature attains its steady state value before the velocity. Skin friction and Nusselt numbers are found to agree with results given by other numerical methods, and shear stress values, as indicators of an approaching steady state, are presented.
 Publication:

Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 1978
 Bibcode:
 1978nmlt.proc..821K
 Keywords:

 Free Convection;
 Isothermal Flow;
 Laminar Flow;
 Spheres;
 Unsteady Flow;
 Boundary Layer Equations;
 Circular Cylinders;
 Differential Equations;
 Laminar Heat Transfer;
 Nusselt Number;
 Shear Stress;
 Temperature Distribution;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer