Numerical analysis of laminar forced convection in a spherical annulus

Calculations of steady laminar incompressible fluid flow and heat transfer in a spherical annulus are presented. Steady pressure temperatures, velocities, and heat transfer coefficients were calculated for an insulated outer sphere and a 0 C isothermal inner sphere radius was 13.97 cm, the outer sphere radius was 16.83 cm and the radius ratio was 1.2. The transient axisymmetric equations of heat, mass, and momentum conservation were solved numerically in spherical coordinates. The transient solution was carried out in time until steady state was achieved. variable mesh was used to improve resolution near the inner sphere where temperature and velocity gradients were steep.