Abstract
Abstract In the present investigation, a problem of natural convective flow of a non-Newtonian power-law fluid over an inclined plate saturated in a non-Darcy porous medium is considered. Also, the nonlinear Boussinesq approximation and convective thermal boundary condition are taken into account to address heat and mass transfer phenomena of thermal systems which are operated at moderate and very high temperatures. The steady-state boundary layer equations are non-dimensionalized into non-similar form and then solved numerically by the local non-similarity method with successive linearisation method (SLM). The effects of various physical parameters on the fluid flow, heat and mass transfer characteristics are depicted graphically and analysed in detail.
Highlights
Many problems related to energy and geophysical industries requires the analysis of the free convective flow of non-Newtonian fluids in a porous medium
In the present investigation, a problem of natural convective flow of a non-Newtonian power-law fluid over an inclined plate saturated in a non-Darcy porous medium is considered
The steady-state boundary layer equations are non-dimensionalized into non-similar form and solved numerically by the local non-similarity method with successive linearisation method (SLM)
Summary
Many problems related to energy and geophysical industries (such as thermal insulation, geophysical flows, petroleum resource, polymer processing, etc.) requires the analysis of the free convective flow of non-Newtonian fluids in a porous medium. Heat transfer analysis with convective thermal boundary condition is an important and useful consideration in the gas turbines, nuclear plants, heat exchangers related industries, due to the realistic nature of this condition In this mechanism, heat is supplied to the convecting fluid through a bounding surface with a finite heat capacity, which provides a convective heat transfer coefficient. Partha [12] studied numerically the convective heat and mass transfer in the influence of nonlinear Boussinesq approximation, dispersion, and cross-diffusion effects on the non-Darcy fluid flow over a vertical surface. The nonlinear Boussinesq approximation is considered in the formulation of fluid flow equations with a Darcy-Forchhiemer’s model This kind of investigation is useful in the mechanism of combustion, solar collectors which are performed at high-level temperatures. The governing equations for the flow, heat and mass transfer of a powerlaw fluid saturated non-Darcy porous medium (Shenoy [2], Murthy and Singh [17] and Chen [18]) are given by
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
