Effect of Boussinesq-Stokes Suspension over an Exponentially Stretching Sheet in a Hydromagnetic Flow

Authors

  • S Manjunath Department of Mathematics, B. N. M. Institute Technology, 12th Main, 27th Cross, Banashankari 2nd Stage, Bangalore - 560 070, Karnataka, India.
  • L Venkata Reddy Department of Mathematics, B. N. M. Institute Technology, 12th Main, 27th Cross, Banashankari 2nd Stage, Bangalore - 560 070, Karnataka, India.

DOI:

https://doi.org/10.12723/mjs.22.5

Keywords:

MHD, boussinesq-stokes suspension, exponential stretching sheet, couple stress chandrasekhar number, differential transform method.

Abstract

The paper presents the study of velocity profiles in a hydromagnetic flow of Boussinesq-Stokes suspension over an exponentially stretching impermeable sheet. The basic equations governing the flow are in the form of partial differential equations. The equations have been transformed to nonlinear ordinary differential equation by applying a suitable local similarity transformation. The solution of the transformed equation is obtained by using differential transform method (DTM) with assistance from the Newton-Raphson method in obtaining the unknown initial values. The solution is obtained as a power series with assured convergence. The effects of local Chandrasekhar number and couple stress parameter on velocity profiles are studied. The findings of the study are represented graphically.

References

] L J Crane, Fast flow stretching plate, J. Appl. Math. Phys.(ZAMP), vol. 21, pp. 645-647, 1970.

V Kumaran and G Ramanaiah, A note on the flow over a stretching sheet, Acta Mech., vol. 116, pp. 229-233, 1996.

P G Siddheshwar and U S Mahabaleswar, Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet, Int. J. of Non-linear mechanics, vol. 40, pp. 807–820, 2005.

M Subhas and Gousia Begum, Heat transfer in MHD viscoelastic fluid flow on stretching sheet with heat source/sink, viscous dissipation, stress work and radiation for the case of large Prandtl number, Chemical Engineering Communication, vol. 12, pp. 1503-1523, 2008.

S K Tania, M A Khaleque and Samad, Effects of radiation, heat generation and viscous dissipation on MHD free convection flow along a stretching, Research Journal of Applied Sciences, Engineering and Technology, vol. 24, pp. 368-377, 2010.

E Magyari and B Keller, Heat and mass transfer in the boundary layer on an exponential continuous surface, J. Phys. D: Appl. Phys., vol. 32, p. 577, 1999.

E M A Elbashbeshy, Heat transfer over an exponentially stretching continuous surface with suction, Arch. Mech., vol. 53, pp. 643-651, 2001.

M K Partha, P V S N Murthy and G P Rajasekhar, Effect of viscous dissipation on the mixed convection heat transfer from an exponentially stretching surface, Heat and Mass Tranfer, vol. 41, pp. 360-366, 2005.

Sujit Kumar Khan and Emmanuel Sanjayanand, Viscoelastic boundary layer flow and heat transfer over an exponential stretching sheet, Int. J. of Heat and Mass Transfer, vol. 48, pp. 1534-1542, 2005.

Emmanuel Sanjayanand and Sujit Kumar Khan, On heat and mass transfer in a viscoelastic boundary layer flow over an exponentially stretching sheet, Int. J. Thermal Sci., vol. 4, pp. 819–828, 2006.

Xuehui Chen, Liancum Zheng and Xinxin Zhang, An efficient analytical decomposition and numerical procedure for boundary layer flow on a continuous stretching surface, J. University of Science and Technology Beijing, vol. 13, p. 401, 2006.

M Sajid and T Hayat, Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet, Int. Comm. Heat and Mass Transfer, vol. 35, pp. 347-356, 2008.

F Haas and R C Oliveski, Exponential class of similarity solutions for the hydromagnetic Falkner-skan equations, Phys. Fluid Dyn., 2011.

Published

2012-07-22