Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes
This paper emphasizes the thermo-diffusion and viscous dissipation effects on double diffusive natural convection heat and mass transfer characteristics of non-Newtonian power-law fluid over a vertical cone embedded in a non-Darcy porous medium with variable heat and mass flux conditions. The Ostwal...
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2018-03-01
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Online Access: | https://doi.org/10.1515/nleng-2016-0054 |
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doaj-b52f5b0074864007a49f548e5d9f594e2021-09-06T19:21:06ZengDe GruyterNonlinear Engineering2192-80102192-80292018-03-0171657210.1515/nleng-2016-0054Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxesKairi Rishi Raj0RamReddy Ch.1Raut Santanu2Department of Mathematics, Islampur College, Uttar Dinajpur, West Bengal, IndiaDepartment of Mathematics, National Institute of TechnologyWarangal, IndiaMathabhanga College, Mathabhanga, Cooch Behar, West Bengal, IndiaThis paper emphasizes the thermo-diffusion and viscous dissipation effects on double diffusive natural convection heat and mass transfer characteristics of non-Newtonian power-law fluid over a vertical cone embedded in a non-Darcy porous medium with variable heat and mass flux conditions. The Ostwald–de Waele power-law model is employed to describe the behavior of non-Newtonian fluid. Local non-similarity procedure is applied to transform the set of non-dimensional partial differential equations into set of ordinary differential equations and then the resulting system of equations are solved numerically by Runge-Kutta fourth order method together with a shooting technique. The influence of pertinent parameters on temperature and concentration, heat and mass transfer rates are analyzed in opposing and aiding buoyancy cases through graphical representation and explored in detail.https://doi.org/10.1515/nleng-2016-0054power-law fluidviscous dissipationdouble diffusive convectionvertical conethermo-diffusionnon-darcy porous medium |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Kairi Rishi Raj RamReddy Ch. Raut Santanu |
spellingShingle |
Kairi Rishi Raj RamReddy Ch. Raut Santanu Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes Nonlinear Engineering power-law fluid viscous dissipation double diffusive convection vertical cone thermo-diffusion non-darcy porous medium |
author_facet |
Kairi Rishi Raj RamReddy Ch. Raut Santanu |
author_sort |
Kairi Rishi Raj |
title |
Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes |
title_short |
Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes |
title_full |
Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes |
title_fullStr |
Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes |
title_full_unstemmed |
Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes |
title_sort |
influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-darcy porous medium saturated by a non-newtonian fluid with variable heat and mass fluxes |
publisher |
De Gruyter |
series |
Nonlinear Engineering |
issn |
2192-8010 2192-8029 |
publishDate |
2018-03-01 |
description |
This paper emphasizes the thermo-diffusion and viscous dissipation effects on double diffusive natural convection heat and mass transfer characteristics of non-Newtonian power-law fluid over a vertical cone embedded in a non-Darcy porous medium with variable heat and mass flux conditions. The Ostwald–de Waele power-law model is employed to describe the behavior of non-Newtonian fluid. Local non-similarity procedure is applied to transform the set of non-dimensional partial differential equations into set of ordinary differential equations and then the resulting system of equations are solved numerically by Runge-Kutta fourth order method together with a shooting technique. The influence of pertinent parameters on temperature and concentration, heat and mass transfer rates are analyzed in opposing and aiding buoyancy cases through graphical representation and explored in detail. |
topic |
power-law fluid viscous dissipation double diffusive convection vertical cone thermo-diffusion non-darcy porous medium |
url |
https://doi.org/10.1515/nleng-2016-0054 |
work_keys_str_mv |
AT kairirishiraj influenceofviscousdissipationandthermodiffusionondoublediffusiveconvectionoveraverticalconeinanondarcyporousmediumsaturatedbyanonnewtonianfluidwithvariableheatandmassfluxes AT ramreddych influenceofviscousdissipationandthermodiffusionondoublediffusiveconvectionoveraverticalconeinanondarcyporousmediumsaturatedbyanonnewtonianfluidwithvariableheatandmassfluxes AT rautsantanu influenceofviscousdissipationandthermodiffusionondoublediffusiveconvectionoveraverticalconeinanondarcyporousmediumsaturatedbyanonnewtonianfluidwithvariableheatandmassfluxes |
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