Nonlinear Radiative Effects on MHD Flow Past a Nonlinearly Stretching Surface Embedded in a Porous Medium

Authors

  • A. David Maxim Gururaj Mathematics Division, School of Advanced Sciences, VIT University, Chennai, Tamilnadu
  • S.P. Anjali Devi Department of Applied Mathematics, Bharathiar University, Coimbatore, Tamilnadu

DOI:

https://doi.org/10.26713/jims.v9i3.1019

Keywords:

Nonlinear Radaitive heat flux, Rosseland diffusion approximation, porous medium, Nachtsheim-Swigert iteration scheme and nonlinearly stretching surface

Abstract

An analysis has been carried out to investigate the steady, laminar, two dimensional hydromagnetic flows with heat transfer of an incompressible, viscous and electrically conducting fluid over a surface stretching with a power-law velocity distribution and embedded in a porous medium in the presence of a variable magnetic field. The radiative heat flux term is taken to be nonlinear using Rosseland diffusion approximation. Governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations by utilizing suitable similarity transformation. Then the resulting nonlinear ordinary differential equations are solved numerically using Fourth-Order Runge-Kutta based shooting method along with Nachtsheim-Swigert iteration scheme for satisfaction of asymptotic boundary conditions and the numerical results for velocity and temperature distribution are obtained for different values of radiation parameter, permeability, velocity exponent parameter, surface temperature parameter, magnetic interaction parameter and Prandtl number. The dimensionless rates of heat transfer and skin friction coefficient are also obtained for different physical parameters and are presented graphically.

Downloads

Download data is not yet available.

References

R.A. Wooding, Fluid Mech. 15 (1963), 525 – 544.

D. Moalem, Int. J. Heat Mass Transfer 19 (1976), 529 – 537.

K. Vajravelu, ZAMM 74(12) (1994), 605 – 614.

A. Sri Ramulu, N. Kishan and J. Anand Rao, Journal of Energy, Heat and Mass Transfer 23 (2001), 483 – 495.

E.M.A. Elbashbeshy and M.A.A. Bazid, Appl. Math. Comput. 158(3) (2004), 799 – 807.

S. Pamuk, Physics Letters A 344 (2005), 184 – 188.

I.C. Liu, Transport in Porous Media 64(3) (2006), 375 – 392.

D.A. Nield, Journal of Heat Transfer 129 (2007), p. 1459.

M.A. Mansour, The Chemical Engineering Journal 145(2) (2008), 340 – 345.

S.P.A. Devi and B. Ganga, Nonlinear Analysis: Modelling and Control 14 (2009), 303 – 314.

O.A. Plumb, J.S. Huensfield and E.J. Eschbach, AIAA 16th Termophysics Conference, Palo Alto, pp. 23 – 25 (1981).

C.K. Chen and M.I. Char, Journal of Mathematical Analysis and Applications 135 (1988), 568 – 580.

A.J. Chamka, H.S. Takhar and V.M. Soundalgekar, Chem. Engg. J. 84 (2001), 335 – 342.

E.M. Ouaf Mahmoud, Applied Mathematics and Computation 170 (2005), 1117–1125.

S. Mukhopadhyay and G.C. Layek, Int. J. of Fluid Mechanics Research 34 (2007), p. 224.

E.M.A. Elbashbeshy, J. Phys. D: Appl. Phys. 31 (1998), p. 1951.

T. Hayat, Z. Abbas, I. Pop and S. Asghar, Int. J. Heat Mass Transfer 53 (2010), 466 – 474.

D. Pal and H. Mondal, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010), 1197 – 1209.

S.K. Soid, S.A. Kechil, A.H.M. Shah, N.Z. Ismail and S.N.S. Ab. Halim, World Applied Sciences Journal 17 (Special Issue of Applied Math) (2012), 33 – 38.

S. Mukhopadhyay, K. Bhattacharyya and G.C. Layek, J. Petrol Sci. Eng. 78 (2011), 304 – 309.

S.P. A. Devi and A.D.M. Gururaj, Advances in Applied Science Research 3(1) (2012), 319 – 334.

A.D.M. Gururaj and C. Pavithra, Advances in Applied Science Research 4(2) (2013), 77 – 92.

A.D.M. Gururaj and S.P.A. Devi, International Journal of Applied Engineering Research 10(3) (2015), 8073 – 8090.

A.D.M. Gururaj and S.P.A. Devi, International Journal of Applied Engineering Research 10(44) (2015), 27144 – 27152.

A.D.M. Gururaj and T. Haseena, Journal of Nanofluids 4(3) (2015), 1 – 9.

M.E. Pantokratoras, International Communications in Heat and Mass Transfer 38(5) (2011), p. 554556.

Downloads

Published

2017-10-30
CITATION

How to Cite

Gururaj, A. D. M., & Devi, S. A. (2017). Nonlinear Radiative Effects on MHD Flow Past a Nonlinearly Stretching Surface Embedded in a Porous Medium. Journal of Informatics and Mathematical Sciences, 9(3), 985–997. https://doi.org/10.26713/jims.v9i3.1019

Issue

Vol. 9 No. 3 (2017)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.