STEADY MHD FREE CONVECTIVE FLOW AND HEAT TRANSFER OVER NONLINEARLY STRETCHING SHEET EMBEDDED IN AN EXTEND-DARCY-FORCHEIMMER POROUS MEDIUM WITH VISCOUS DISSIPATION

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Bhim Sen Kala

Abstract

ABSTRACT : The steady two-dimensional laminar MHD free convective flow of a viscous incompressible electrically conducting fluid past over a porous substrate attached to a non-linearly stretching sheet embedded in a Extended-Darcy-Forchheimmer Porous  medium, in the presence of a uniform transverse magnetic field with viscous dissipation is investigated. The boundary layer equations are transformed to ordinary differential equations with the help of similarity transformation and to solve these equations, the method used is numerical computation with bvp4c, a MATLAB program. The velocity and temperature profiles are computed and discussed numerically and presented through graphs for various parameters like, Magnetic and Permeability parameters, Forchheimer parameter, index parameter n, Prandtl number and Eckert number etc.

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How to Cite
Kala, B. S. (2014). STEADY MHD FREE CONVECTIVE FLOW AND HEAT TRANSFER OVER NONLINEARLY STRETCHING SHEET EMBEDDED IN AN EXTEND-DARCY-FORCHEIMMER POROUS MEDIUM WITH VISCOUS DISSIPATION. Journal of Global Research in Mathematical Archives(JGRMA), 2(4), 01–15. Retrieved from https://jgrma.com/index.php/jgrma/article/view/190
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Research Paper
Author Biography

Bhim Sen Kala, Department of Mathematics,Birla Campus, HNB Garhwal University,Srinagar, Garhwa-l246174,Uttarakhand, India

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References

REFERENCE:

Naji Qatanani and Mai Musmar: The Mathematical Structure and Analysis of an MHD Flow in Porous Media . International Journal of Mathematical Engineering and Science ISSN : 2277-6982 Volume 1 Issue 2 :2012.

Gulab Ram , and R.S.Verma : Unsteady flow through magnetohydrodynamic porous media. Indian J. pure appl.Math., 8(6):637-647, 1977.

Krishnendu Bhattacharyya Tasawar Hayat, Rama Subba Reddy Gorla, Heat transfer in the boundary layer flow of Maxwell fluid over a permeable shrinking sheet, Thermal Energy and Power Engineering TEPE TEPE Volume 2, Issue 3 Aug. 2013, PP. 72-78.

S.P. Anjali Devi1 and B. Ganga, Dissipation Effects on MHD Nonlinear Flow and Heat Transfer Past a Porous Surface with Prescribed Heat Flux, Journal of Applied Fluid Mechanics, Vol. 3, No. 1, pp. 1-6, 2010.

Paresh Vyas, Ashutosh Ranjan, Dissipative MHD Boundary- Layer Flow in a Porous Medium over a Sheet Stretching Nonlinearly in the Presence of Radiation, Applied Mathematical Sciences, Vol. 4, 2010, no. 63, 3133 - 3142

Siti Khuzaimah Soid, Zanariah Mohd Yusof, Ahmad Sukri Abd Aziz, Seripah Awang Kechil, Magnetohydrodynamics Boundary Layer Flows over a Stretching Surface with Radiation Effect and Embedded in Porous Medium; World Academy of Science, Engineering and Technology 68 2012

G. C. Hazarika, Effect of Radiation on MHD Flow over a Stretching Sheet through Porous Medium with Temperature Dependent Viscosity and Thermal Conductivity, World Academy of Science, Engineering and Technology 77 2013

Santosh Chaudhary, Pradeep Kumar. MHD Slip Flow past a Shrinking Sheet;Applied Mathematics, 2013, 4, 574-581.

Noura S. Al-sudais, Thermal Radiation Effects on MHD Fluid Flow Near Stagnation Point of Linear Stretching Sheet with Variable Thermal Conductivity , International Mathematical Forum, Vol. 7, 2012, no. 51, 2525 – 2544.

Ahmet KAYA and Orhan AYDIN , Effects of mhd and thermal radiation on forced convection flow about a permeable horizontal plate embedded in a porous medium, Isı Bilimi ve Tekniği Dergisi, 32, 1, 9-17, 2012 J. of Thermal Science and Technology ©2012 TIBTD Printed in Turkey ISSN 1300-3615.

A.M. Rashad, A.Y. Bakier, MHD Effects on Non-Darcy Forced Convection Boundary Layer Flow past a Permeable Wedge in a Porous Medium with Uniform Heat Flux, Nonlinear Analysis: Modelling and Control, 2009, Vol. 14, No. 2, 249–261

Paresh Vyas and Nupur Srivastava, Radiative Boundary Layer Flow in PorousMedium due to Exponentially Shrinking Permeable Sheet,International Scholarly Research Network ISRN Thermodynamics Volume 2012, Article ID 214362, 9 pages

R. N. Jat and Gopi Chand. MHD Flow and Heat Transfer over an Exponentially Stretching Sheet with Viscous Dissipation and Radiation Effects; Applied Mathematical Sciences, Vol. 7, 2013, no. 4, 167 - 180

Iftikhar Ahmad, Muhmmad Sajid, Wasim Awan, Muhammad Rafique, Wajid Aziz, Manzoor Ahmed, Aamar Abbasi, andMoeen Taj, MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium, Hindawi Publishing Corporation,Journal of Applied Mathematics Volume 2014, Article ID 256761, 8 pages

M. Subhas Abel, Kulkarni Anant Kumar, R. Ravikumara. MHD Flow, and Heat Transfer with Effects of Buoyancy, Viscous and Joules Dissipation over a Nonlinear Vertical Stretching Porous Sheet with Partial Slip, doi:10.4236/eng.2011.33033 Published Online March 2011 (http://www.SciRP.org/journal/eng)Copyright © 2011 SciRes. ENG

R. N. Jat, Gopi Chand and Dinesh Rajotia, MHD Heat and Mass Transfer for Viscous flow over Nonlinearly Stretching Sheet in a Porous Medium; Thermal Energy and Power Engineering TEPE TEPE Volume 3, Issue 1 Feb. 2014, PP. 191-197

Mohammad Mehdi Keshtkar, Babak Amiri, MHD Flow and Heat Transfer a Nanofluid over a Permeable Stretching Sheet, International Journal of Engineering and Innovative Technology (IJEIT) Volume 3, Issue 3, September 2013