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Theoretical and Computational Fluid Dynamics : Volume 31

Theoretical and Computational Fluid Dynamics : Volume 31, Issue 3, June 2017

On the stability of natural convection in a porous vertical slab saturated with an Oldroyd-B fluid

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On the stability of natural convection in a porous vertical slab saturated with an Oldroyd-B fluid

Content Provider	Springer Nature Link
Author	Shankar, B. M. Shivakumara, I. S.
Copyright Year	2016
Abstract	The stability of the conduction regime of natural convection in a porous vertical slab saturated with an Oldroyd-B fluid has been studied. A modified Darcy’s law is utilized to describe the flow in a porous medium. The eigenvalue problem is solved using Chebyshev collocation method and the critical Darcy–Rayleigh number with respect to the wave number is extracted for different values of physical parameters. Despite the basic state being the same for Newtonian and Oldroyd-B fluids, it is observed that the basic flow is unstable for viscoelastic fluids—a result of contrast compared to Newtonian as well as for power-law fluids. It is found that the viscoelasticity parameters exhibit both stabilizing and destabilizing influence on the system. Increase in the value of strain retardation parameter $$\Lambda _2 $$ portrays stabilizing influence on the system while increasing stress relaxation parameter $$\Lambda _1$$ displays an opposite trend. Also, the effect of increasing ratio of heat capacities is to delay the onset of instability. The results for Maxwell fluid obtained as a particular case from the present study indicate that the system is more unstable compared to Oldroyd-B fluid.
Starting Page	221
Ending Page	231
Page Count	11
File Format	PDF
ISSN	09354964
Journal	Theoretical and Computational Fluid Dynamics
Volume Number	31
Issue Number	3
e-ISSN	14322250
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-11-10
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Natural convection Vertical porous layer Oldroyd-B fluid Viscoelastic fluid Engineering Fluid Dynamics Classical and Continuum Physics Computational Science and Engineering
Content Type	Text
Resource Type	Article
Subject	Fluid Flow and Transfer Processes Condensed Matter Physics Computational Mechanics

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Effect of Local Thermal Nonequilibrium on the Stability of Natural Convection in an Oldroyd-B Fluid Saturated Vertical Porous Layer

Unsteady Natural Convection Heat Transfer Past a Vertical Flat Plate Embedded in a Porous Medium Saturated With Fractional Oldroyd-B Fluid

The onset of double diffusive convection in a binary viscoelastic fluid saturated anisotropic porous layer

Stability of a Buoyant Oldroyd-B Flow Saturating a Vertical Porous Layer with Open Boundaries

Nonlinear dynamics between two differentially heated vertical plates in the presence of stratification

Complex dynamics in double-diffusive convection

Thermal convection in a rotating viscoelastic fluid saturated porous layer

Vibrational convection in a saturated porous medium in the absence of thermal equilibrium between the solid and liquid phases

Boundary effect on free convection flow in a porous medium at given heat transfer from a vertical surface

On the stability of natural convection in a porous vertical slab saturated with an Oldroyd-B fluid

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