Full Paper View Go Back

Effects of Dissipation on Magneto-Convection Flow over a Shrinking Surface with Chemically Reactive Species under the Influence of Radiation and Internal Heat Generation

J. Wilfred Samuel Raj1 , S.P. Anjali Devi2

  1. Department of Mathematics, The American College, Madurai, Tamilnadu, India.
  2. Department of Applied Mathematics, Bharathiar University, Coimbatore, Tamilnadu, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.4-12, Apr-2020


Online published on Apr 30, 2020


Copyright © J. Wilfred Samuel Raj, S.P. Anjali Devi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: J. Wilfred Samuel Raj, S.P. Anjali Devi, “Effects of Dissipation on Magneto-Convection Flow over a Shrinking Surface with Chemically Reactive Species under the Influence of Radiation and Internal Heat Generation,” International Journal of Scientific Research in Chemical Sciences, Vol.7, Issue.2, pp.4-12, 2020.

MLA Style Citation: J. Wilfred Samuel Raj, S.P. Anjali Devi "Effects of Dissipation on Magneto-Convection Flow over a Shrinking Surface with Chemically Reactive Species under the Influence of Radiation and Internal Heat Generation." International Journal of Scientific Research in Chemical Sciences 7.2 (2020): 4-12.

APA Style Citation: J. Wilfred Samuel Raj, S.P. Anjali Devi, (2020). Effects of Dissipation on Magneto-Convection Flow over a Shrinking Surface with Chemically Reactive Species under the Influence of Radiation and Internal Heat Generation. International Journal of Scientific Research in Chemical Sciences, 7(2), 4-12.

BibTex Style Citation:
@article{Raj_2020,
author = {J. Wilfred Samuel Raj, S.P. Anjali Devi},
title = {Effects of Dissipation on Magneto-Convection Flow over a Shrinking Surface with Chemically Reactive Species under the Influence of Radiation and Internal Heat Generation},
journal = {International Journal of Scientific Research in Chemical Sciences},
issue_date = {4 2020},
volume = {7},
Issue = {2},
month = {4},
year = {2020},
issn = {2347-2693},
pages = {4-12},
url = {https://www.isroset.org/journal/IJSRCS/full_paper_view.php?paper_id=1847},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRCS/full_paper_view.php?paper_id=1847
TI - Effects of Dissipation on Magneto-Convection Flow over a Shrinking Surface with Chemically Reactive Species under the Influence of Radiation and Internal Heat Generation
T2 - International Journal of Scientific Research in Chemical Sciences
AU - J. Wilfred Samuel Raj, S.P. Anjali Devi
PY - 2020
DA - 2020/04/30
PB - IJCSE, Indore, INDIA
SP - 4-12
IS - 2
VL - 7
SN - 2347-2693
ER -

195 Views    206 Downloads    109 Downloads
  
  

Abstract :
The effects of chemical reaction and dissipation on nonlinear MHD flow over a shrinking surface subjected to heat and mass flux under the influence of radiation and internal heat generation have been analyzed. Similarity transformations are utilized to obtain the nonlinear ordinary differential equations from nonlinear partial differential equations. Nachtsheim Swigert shooting iteration scheme together with Runge Kutta fourth order method is applied to the reduced highly nonlinear equations. Effects of pertinent parameters on heat and mass transfer characteristics are thoroughly examined. From the investigation it is noted that the species concentration boundary layer thickness reduces due to increase in Schmidt number and Chemical reaction parameter.

Key-Words / Index Term :
Forced convection; thermal radiation; Chemical reaction; Heat and mass flux.

References :
[1] P.L. Chambre, J.D. Young, “On diffusion of a chemically reactive species in a laminar boundary layer flow”, Physics of Fluids, Vol.1, pp.48-54, 1958.
[2] H.I. Anderson, O.R. Hansen, B. Holmedal, “Diffusion of a chemically reactive species from a stretching sheet”, International Journal of Heat and Mass Transfer, Vol.37, Issue. 4, pp.659-664, 1994.
[3] Afify, “MHD free convective flow and mass transfer over a stretching sheet with chemical reaction”, Heat transfer, Vol. 40, Issues. 6-7, pp.495-500, 2004.
[4] I.U. Mbeledogu, A. Ogulu, “Chemical reaction, heat and mass transfer on MHD flow over a vertical stretching surface with heat source and thermal stratification effects”, International Journal of Heat and Mass Transfer, Vol. 48, Issues 21-22, pp. 4557-4561, 2005.
[5] F.T. Akyildiz, H. Bellout, K. Vajravelu, “Diffusion of chemically reactive species in a porous medium over a stretching sheet”, Journal of Mathematical Analysis and Applications , Vol.320, Issue. 1, pp.322-339, 2006 .
[6] M.A. Mansours, N.F. El-Anssary, A.M. Aly, “Effects of chemical reaction and thermal stratification on MHD free convective heat and mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers”, Chemical Engineering Journal, Vol. 145, Issue. 2, pp. 340-345, 2008.
[7] R.A. Mohamed, S.M. Abo-Dahab, “Influence of chemical reaction and thermal radiation on the heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium with heat generation”, International Journal of Thermal Sciences, Vol. 48, Issue. 9, pp.1800-1813, 2009.
[8] K. Bhattacharyya, G.C. Layek, “Chemically reactive solute distribution in MHD boundary layer flow over a permeable stretching sheet distribution in MHD boundary layer flow over a permeable stretching sheet with suction or blowing”, Chemical Engineering Communications, Vol. 197 Issue. 12, pp.1527-1540, 2010.
[9] M.h. Yazdi, S. Abdullah, I. Hashim, K. Sopian, “Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction”, International Journal of Heat and Mass Transfer, Vol. 54, Issues. 15-16, pp. 3214-3225, 2011.
[10] M. Miklavcic, C.Y. Wang, “Viscous flow due to a shrinking sheet”, Quarterly of Applied Mathematics, Vol. 64, Issue. 2, pp.283-290, 2006.
[11] T. Fang, “Boundary layer flow over a shrinking sheet with power law velocity” International Journal of Heat and Mass Transfer, Vol. 51, Issue. 25-26, pp.5838-5843, 2008.
[12] B. Yao, J. Chen, “A new analytical solution branch for the Blasius equation with shrinking sheet”, Applied Mathematics and Computation, Vol. 215, Issue. 3, pp. 1146-1153, 2009.
[13] N.M.F. Noor, I. Hasim, MHD flow and heat transfer adjacent to permeable shrinking sheet embedded in a porous medium, Sains Malaysian, Vol. 38, Issue. 4, pp.559-565, 2009.
[14] S. Nadeem, Anwar Hussain, “MHD flow of a viscous fluid on a nonlinear porous shrinking sheet with homotopy analysis method”, Applied Mathematics and Mechanics, Vol. 30, Issue. 12, pp.1569-1578, 2009.
[15] F. Ali, R. Nazar, N. Arfin, “MHD viscous flow and heat transfer due to a permeable shrinking sheet with prescribed surface heat flux”, WSEAS Transactions on Mathematics, World Scientific and Engineering Academy and Society, Vol. 9, Issue. 5, pp. 365-375, 2010.
[16] T. Fang, J. Zhang, "Thermal boundary layers over a shrinking sheet: an analytical solution”, Acta Mechanica, Vol. 209, Issues. 3-4, pp.325-343, 2010.
[17] T. Javed, Z. Abbas, M. Sajid, N .Ali, “Heat transfer analysis for a hydromagnetic viscous fluid over a non-liner shrinking sheet”, International Journal of Heat and Mass transfer , Vol. 54, Issues. 9-10, pp. 2034-2042, 2011.
[18] K. Bhattacharyya, G.C. Layek, “Effects of suction/blowing on steady boundary layer stagnation-point flow and heat transfer towards a shrinking sheet with thermal radiation”, International Journal of Heat and Mass Transfer, Vol. 54, Issues. 1-3, pp. 302-307, 2011.
[19] K. Bhattacharyya, S. Mukhopadhyay, G.C. Layek, I. Pop, “Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet”, International Journal of Heat and Mass Transfer , Vol. 55, Issue. 11-12, pp. 2945-2952, 2012.
[20] T. Hayat, Z. Abbas, N. Ali, “ MHD flow and mass transfer of a upper-convected maxwell fluid past a porous shrinking sheet with chemical reaction species”, Physics letters A , Vol. 372, Issue. 26, pp. 4698-4704, 2008.
[21] Muhaimin, R. Kandasamy, I. Hashim, “Effect of chemical reaction, heat and mass transfer on nonlinear boundary layer past a porous shrinking sheet in the presence of suction”, Nuclear Engineering and Design, Vol. 240, Issue. 5, pp. 933-939, 2010.
[22] C. Midya, “Exact solutions of chemically reactive solute distribution in MHD boundary layer flow over a shrinking surface”, Chineese physics letter, Vol. 29, Issue. 1, pp.1-4, 2012.
[23] S. Khalid, S. Hussain, H. Waqas, “Numerical solution of MHD flow and heat transfer in porous medium over a porous shrinking surface with radiation and viscous dissipation”, Sci.Int.(Lahore), Vol. 28, Issue. 5, pp. 4297-4302, 2016. ISSN 1013-5316.
[24] F. Kamal, K. Zaimi, A. Ishak, I. Pop, “Stability analysis of mhd stagnation-point flow towards a permeable stretching/shrinking sheet in a nanofluid with chemical reactions effect”, Sains Malaysiana, Vol. 48, Issue. 1, pp. 243–250, 2019.
[25] M.Q. Brewster, “Thermal radiative transfer properties”, Wiley, Canada.
[26] A. Raptis, C. Perdikis, H. S. Takhar, “Effect of thermal radiation on MHD flow,” Applied Mathematics and Computation, Vol. 153, Issue. 3, pp. 645-649, 2004.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation