Unsteady Fluid Motion Between Infinitely Stretched Parallel Horizontal Plates with the Absence of Viscous Dissipation: An Analytical Approximation

Abstract

Unsteady fluid motion between two infinitely stretched parallel horizontal plates with the absence of viscous dissipation is explored in this present study. Plates are maintained at different constant temperatures and separated with the distance of units. The flow is produced by a constant oscillating pressure gradient between the plates and parallel to the boundaries of the plates. The solution of the concerned flow equations with suitable boundary limitations have been obtained using most elegant analytical approximation method: A Perturbation technique. The impact of various flow field material parameters has been studied for velocity and temperature fields and deliberated with the help of Graphical interpretations. The obtained results are validated and compared with the results existing in the literature. The obtained results are identified to be exceptional agreement with literature results. The present study will be hopefully helpful to the various industrial applications especially in the nuclear industry for the emergency cooling of nuclear reactors. The researchers and scientists can utilize the methodology of the present work in their interest of study.

Keywords

• thermo-viscous fluid
• thermo strain conductivity coefficient
• thermal-mechanical stress viscosity
• prandtl number