Exploration of Coriolis force on motion of air over the upper horizontal surface of a paraboloid of revolution

Abstract

The significance of Coriolis force on the flow of air across a surface in rotating frame of reference is of prime importance in Astrophysics, Stellar dynamics, oceanography, meteorology and dynamo theory by influencing the movement of fluid upon the surface of the Earth. Sequel to the importance of Newtonian fluids (i.e. air and water), it is worthwhile to investigate the influence of Coriolis force on such flow. This is necessary due to the fact that Coriolis force is the only explanation for how the air heated by the Sun reaches the Earth. The significance of rotational force on the flow of Newtonian fluids over an upper horizontal surface of a paraboloid of revolution is investigated. The flows are modeled by incorporating the Coriolis term into the body forces of Navier–Stokes equations to obtain appropriate equations for the fluids. The governing equations is nondimensionalized using appropriate Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using Runge–Kutta–Gills method with Shooting technique and the results is depicted graphically. With an increase in Coriolis force, the horizontal velocity, the vertical velocity and the shear stress near the wall decrease while the temperature distribution is an increasing property.