An analytical investigation of thermo-viscous unsteady fluid motion surrounding an oscillating sphere

Abstract

The present investigations describes the motion of a fluid around an oscillating sphere under unsteady condition and also the influence of its thermal physical characteristics on its motion. Using the appropriate boundary conditions, the respective solutions for both angular velocity, and temperature distribution for the flow surrounding a sphere which is oscillating has found in form of Bessel expressions. The pressure distribution, couple on the boundary as well as the Drag force sphere’s boundary were also been obtained. The influence of various flow material characteristics on flow fields have been studied and examined with the help of appropriate graphs. The graphical representations were also used to understand the impact of physical factors of considered flow on the Pressure distribution, Couple and the Drag force. It was observed that, these effects are more prominent through the surface of the considered sphere. The growing impact of rotation of angle pushing down the angular velocity where as increasing the prandtle number increases the fluid temperature. Thermal parameters increasing influences pushing up the pressure distribution and moves far away from the boundary. The cross viscosity effect increases and drifting up the pressure distribution at the faster rate. The pressure distribution is oscillating with the period π. The presents results are equated with the existing literature results and are achieved an excellent agreement with each other. This current work provides a better understanding for researchers, scientists, industrialists and engineers about the thermo-viscous flow dynamics around a sphere. Scientists, engineers, and industrialists can use the current work results to examine and forecast their necessary field of study in the design of spherical objects. In the realm of industrial and manufacturing engineering, this study investigates flow dynamics in fluid-based additive manufacturing. It is possible to predict the temperature distribution and coolant flow in nuclear reactors.

Keywords

• Themo-viscous fluid
• Angular velocity
• Pressure distribution
• Couple
• Drag