Engineering topics
Publications and source records attributed to Antar, B..
Temperature and concentration profiles calculated. Study expands on earlier work including more realistic, mathematically complicating physical effects and yet retains simple geometry and enough simplifying assumptions to make equations solvable. Leads to improved understanding of metal and glass production, material processing in low low gravity other important material processing problems.
A stability analysis of a thin horizontal rotating fluid layer which is subjected to arbitrary horizontal and vertical temperature gradients is presented. The basic state is a nonlinear Hadley cell which contains both Ekman and thermal boundary layers; it is given in closed form. The stability analysis is based on the linearized Navier-Stokes equations, and zonally symmetric perturbations in the form of waves propagating in the meridional direction are considered. Numerical methods were used for the stability problem. It was found that the instability sets in when the Richardson number is close to unity and that the critical Richardson number is a non-monotonic function of the Prandtl number. Further, it was found that the critical Richardson number decreases with increasing Ekman number until a critical value of the Ekman number is reached beyond which the fluid is stable.