Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Volumes:
Volume 23, 2020 Volume 22, 2019 Volume 21, 2018 Volume 20, 2017 Volume 19, 2016 Volume 18, 2015 Volume 17, 2014 Volume 16, 2013 Volume 15, 2012 Volume 14, 2011 Volume 13, 2010 Volume 12, 2009 Volume 11, 2008 Volume 10, 2007 Volume 9, 2006 Volume 8, 2005 Volume 7, 2004 Volume 6, 2003 Volume 5, 2002 Volume 4, 2001 Volume 3, 2000 Volume 2, 1999 Volume 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.2019029035
pages 1395-1413

LINEAR AND NONLINEAR DOUBLE-DIFFUSIVE CONVECTION IN A SATURATED POROUS LAYER WITH SORET EFFECT UNDER LOCAL THERMAL NON-EQUILIBRIUM MODEL

Anas A. Altawallbeh
Department of Basic Sciences and Mathematics, Faculty of Science, Philadelphia University 19392, Amman, Jordan
B. S. Bhadauria
Department of Applied Mathematics and Statistics, School of Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, UP 226025, India
I. Hashim
School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia

ABSTRACT

Double-diffusive convection in a fluid-saturated porous layer heated and salted from below with Soret effect is studied analytically when the fluid and solid phase are not in local thermal equilibrium, using both linear and non-linear stability analysis. The normal mode technique is used in the linear stability analysis, while a weak non-linear analysis is based on a minimal representation of truncated double-Fourier series. The generalized Darcy model including the time derivative term is employed for the momentum equation. A two-field model that represents the fluid and solid phase temperature fields separately is used for the energy equation. The effects of concentration Rayleigh number, Soret parameter, inter-phase heat transfer coefficient, the porosity modified conductivity ratio, Vadasz number, Lewis number, and the ratio of diffusivities on the stationary, oscillatory, and heat and mass transfer are shown graphically. Heat and mass transfer have been obtained in terms of the Nusselt number Nu and Sherwood number Sh, respectively. It is found that the effect of thermal and solute diffusion causes the convective instability to set in as oscillatory mode rather than stationary. Also, we found that the positive values of Soret parameter Sr destabilize the system for the stationary convection, while the negative ones stabilize it. The effect of the Soret parameter on the oscillatory curves is negligible.


Articles with similar content:

CONVECTIVE TRANSPORT IN A NANOFLUID SATURATED POROUS LAYER WITH CROSS DIFFUSION AND VARIATION OF VISCOSITY AND CONDUCTIVITY
Special Topics & Reviews in Porous Media: An International Journal, Vol.6, 2015, issue 1
Monica B. Mohite, A J Chamkha, Jawali C. Umavathi
AN ANALYTICAL STUDY OF DOUBLE DIFFUSIVE CONVECTION IN A POROUS MEDIUM SATURATED WITH COUPLE STRESS FLUID IN THE PRESENCE OF SORET EFFECT
Journal of Porous Media, Vol.14, 2011, issue 11
S . N. Gaikwad, K. Rama Prasad
ONSET OF DOUBLE-DIFFUSIVE NANOFLUID CONVECTION IN A LAYER OF SATURATED POROUS MEDIUM WITH THERMAL CONDUCTIVITY AND VISCOSITY VARIATION
Journal of Porous Media, Vol.16, 2013, issue 2
Rama Bhargava, Dhananjay Yadav, G. S. Agrawal
ONSET OF DOUBLE DIFFUSIVE REACTION-CONVECTION IN AN ANISOTROPIC POROUS LAYER WITH INTERNAL HEAT SOURCE
Journal of Porous Media, Vol.18, 2015, issue 6
S . N. Gaikwad, M. Dhanraj
ANALYTICAL STUDY OF LINEAR AND NONLINEAR DOUBLE DIFFUSIVE CONVECTION IN A ROTATING ANISOTROPIC POROUS LAYER WITH SORET EFFECT
Journal of Porous Media, Vol.15, 2012, issue 8
S . N. Gaikwad, Shaheen Kouser