NDLI: Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects

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Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects

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Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects

Content Provider	Springer Nature Link
Author	Khidir, Ahmed A. Narayana, M. Sibanda, P. Murthy, P. V. S. N.
Copyright Year	2014
Abstract	In this work, we study the viscous dissipation and thermal-diffusion effects on natural convection from a vertical plate embedded in a fluid saturated non-Darcy porous medium. The non-Newtonian behaviour of fluid is characterized by the generalized power-law model. The governing partial differential equations are transformed into a system of ordinary differential equations using a local non-similarity solution and the resulting boundary value problem is solved using a novel successive linearisation method (SLM). The accuracy of the SLM has been established by comparing the results with the shooting technique. The effects of physical parameters on heat and mass transfer coefficients for the convective motion of the power-law liquid are presented both qualitatively and quantitatively. The results show that the Nusselt number is reduced by viscous dissipation and enhanced by the Soret number but the Sherwood number increases with viscous dissipation and decreases with the Soret number. An increasing viscosity enhances heat and mass transfer coefficients in both cases of aiding buoyancy and opposing buoyancy.
Starting Page	1495
Ending Page	1518
Page Count	24
File Format	PDF
ISSN	10129405
Journal	Afrika Matematika
Volume Number	26
Issue Number	7-8
e-ISSN	21907668
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-11-21
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Non-Darcy porous medium Non-Newtonian fluid Natural convection Viscous dissipation Successive linearisation method Power-law fluid Mathematics Applications of Mathematics History of Mathematical Sciences Mathematics Education
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Effect of viscous dissipation on natural convection in a non-Darcy porous medium saturated with non-Newtonian fluid of variable viscosity

Double diffusive natural convection in power-law fluid saturated porous medium with Soret and Dufour Effects

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Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects

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