Abonnement à la biblothèque: Guest
Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections
Journal of Porous Media
Facteur d'impact: 1.752 Facteur d'impact sur 5 ans: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Imprimer: 1091-028X
ISSN En ligne: 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.v20.i11.80
pages 1043-1058

EFFECT OF CHEMICAL REACTION ON MIXED CONVECTIVE FLOW IN A VERTICAL CHANNEL CONTAINING POROUS AND FLUID LAYERS

J. Prathap Kumar
Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India
Jawali C. Umavathi
Department of Mathematics, Gulbarga University, Kalaburgi-585106, Karnataka, India
Shreeedevi Kalyan
Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India

RÉSUMÉ

We analyze the free convection flow through a vertical channel filled with a composite porous medium in the presence of a first-order chemical reaction. The flow is modeled using a Darcy–Lapwood–Brinkman equation model. The viscous and Darcy dissipation terms are also included in the energy equation. Analytical and numerical solutions for the governing coupled nonlinear ordinary differential equations are obtained by perturbation series method and by finite difference method, respectively. Separate solutions are matched at the interface by using suitable matching conditions. The approximate solutions have been obtained for velocity, temperature, and concentration distributions in the two regions of the composite channel. The effects of various parameters, such as thermal Grashof number, mass Grashof number, porous parameter, viscosity ratio, width ratio, conductivity ratio, and chemical reaction parameter, on the flow field are presented graphically and discussed. The volumetric flow rate, total species rate, total heat rate added to the flow, and Nusselt number are also evaluated. It is found that the thermal Grashof number and mass Grashof number enhance the flow in both regions in the presence or in the absence of a first-order chemical reaction. It is also found that the Nusselt number at the left wall is enhanced and at the right wall is reduced for large values of mass Grashof number. The values obtained by finite difference method are justified by comparing with the values obtained by perturbation method, and these values agree to the order of 10-4 in the absence of Brinkman number.


Articles with similar content:

MIXED CONVECTIVE HEAT TRANSFER OF IMMISCIBLE FLUIDS IN A VERTICAL CHANNEL WITH BOUNDARY CONDITIONS OF THE THIRD KIND
Computational Thermal Sciences: An International Journal, Vol.9, 2017, issue 5
Y. Ramarao, J. Prathap Kumar, A J Chamkha, Jawali C. Umavathi
MIXED CONVECTION FLOW OF PERMEABLE FLUID IN A VERTICAL CHANNEL IN THE PRESENCE OF FIRST-ORDER CHEMICAL REACTION: VARIABLE PROPERTIES
Special Topics & Reviews in Porous Media: An International Journal, Vol.9, 2018, issue 2
Syed Mohiuddin, Jawali C. Umavathi
EFFECT OF COUPLE STRESSES ON A PULSATILE MHD BIVISCOSITY FLUID FLOWWITH HEAT AND MASS TRANSFER THROUGH A NON-DARCY POROUS MEDIUM BETWEEN TWO PERMEABLE PARALLEL PLATES
Journal of Porous Media, Vol.14, 2011, issue 3
Abeer A. E. Mohammed, Ahmed A. A. Hassan
HEAT AND MASS TRANSFER ON MHD FLOW OF SECOND-GRADE FLUID THROUGH POROUS MEDIUM OVER A SEMI-INFINITE VERTICAL STRETCHING SHEET
Journal of Porous Media, Vol.23, 2020, issue 8
M. Veera Krishna, Kamboji Jyothi, Ali J. Chamkha
Effects of Thermal Radiation and Chemical Reaction on Steady MHD Mixed Convective Flow over a Vertical Porous Plate with Induced Magnetic Field
International Journal of Fluid Mechanics Research, Vol.42, 2015, issue 4
Kamalesh K. Pandit, Dipak Sarma