On the Time Fractional Natural Convection Flow of Incompressible Viscous Fluid Past Vertical Plate

Abstract

Time fractional partial differential equations governing the free convective flow of an incompressible viscous fluid over vertical plate with Newtonian heating and mass diffusion in the presence of first order chemical reaction are derived by using fractional complex transforms. The dimensionless temperature, concentration and velocity field and the rate of heat and mass transfer from the plate to the field are determined using Laplace transform. The similarly solution for ordinary fluids is also determined. For the sake of practical importance, the influence of fractional parameter from temperature and concentration are discussed in detail.

Keywords: Viscous fluid, chemical reaction, time-fractional natural convection flow

Cite this Article

Patel Farhatbanu H, Timol MG. On the Time Fractional Natural Convection Flow of Incompressible Viscous Fluid Past Vertical Plate. Research & Reviews: Journal of Physics. 2019; 8(2): 69–74p.