TARU PUBLICATIONS
Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

Powered by:Powered by

Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
info@tarupublications.com
Open Access Research Article

Group theoretic transformation techanique for MHD viscous fluid with heat transfer over a non-linear porous surface

* ,

* Corresponding author · click or hover a name for details

pp. 101–111Vol. 21Issue 2November 2023DOI: 10.47974/JDSGT-21-2-06XML
Published Online:
16 Jan 2024
Article type:
Research Article
Language:
EN
Article no.:
JDSGT-21-2-06
Pages:
101–111

Abstract

Using group theoretic transformation technique, class of similarity solution of heat transfer for MHD boundary layer flow of viscous fluid over a non linear porous surface. This similarity equation which is highly nonlinear ordinary differential equations which is solved numerically for particular fluids so called power-law fluids. The results obtain are found in good agreement with those available in literature.

Keywords

Subject Classifications

76M60

References

[1] Abel M. S. and Mahesha N., Effects of thermal buoyancy and variable thermal conductivity in a power law  fluid past a vertical stretching sheet in the presence of non uniform heat source, Int. J. Nonlinear Mech., Vol. 44, pp. 1-12.(2009).
[2] Cheng, W.T., Lin C.H., Melting effect on mixed convective heat transfer with aiding and opposing external  ows from the vertical plate in a liquid saturated porous medium. Int. J. Heat Mass Transfer 50: 3026-3034, (2007).
[3] Darji R.M., Timol M.G., Invariance analysis and similarity solution of heat transfer for MHD viscous power-law  fluid over a non-linear porous surface, Int. J. of Adv. in Appl. Math and Mech. 1 (2): 116-132, (2013).
[4] Dass U. N., Ray S. N., and Soundalgekar V. M., Mass transfer effects on  flow past an impulsively started infinite vertical plate with constant mass  flux an exact solution, Heat and Mass Transfer, vol. 31, no. 3, pp. 163167, (1996).
[5] Hassanien I. A., Abdullah A. A. and Gorla R.S.R., Flow and heat transfer in a power law fluid over a non-isothermal stretching sheet, Math. Comput. Model. , Vol. 28, pp. 105-116,(1998).
[6] Ingham D.B., Pop I., Transport Phenomena in Porous Media III. Elsevier, Oxford, (2005).
[7] Lai F.C, Kulacki F.A., Non-Darcy mixed convection along a vertical wall in a saturated porous medium. International J. Heat Mass Transfer; 113: 252-255, (1991).
[8] Muthucumaraswamy R., Ganesan P., and Soundalgekar V. M., Heat and mass transfer effects on flow past an impulsively started vertical plate, Acta Mechanica, vol. 146, no. 1-2, pp. 18, (2001).
[9] Nield, D.A. and Bejan A., Convection in Porous Media (3rd Edition). Springer, New York, (2006).
[10] Sarma U., Hazarika G. C., Effects of variable viscosity and thermal conductivity on heat and mass transfer  ow along a vertical plate in the presence of a magnetic field, Lat. Am. J. Phys. Educ., Vol. 5 (1), pp. 100-106,(2011).
[11] Vafai K., Handbook of Porous Media (2nd Edition). Taylor and Francis, New York, (2005)
[12] Vadasz P., Emerging Topics in Heat and Mass Transfer in Porous Media. Springer, New York, (2008).

Views: 148Downloads: 56Citations: 0