Research Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Unsteady Hydromagnetic Flow past a Stretching Surface with Dissipation and Radiation Effects


Affiliations
1 Department of Applied Mathematics, Bharathiar University, Coimbatore – 641046, Tamil Nadu, India
     

   Subscribe/Renew Journal


This paper deals with an analysis which is performed to investigate the effects of dissipation and radiation over an unsteady MHD flow past a stretching surface. The fluid is assumed to be viscous, incompressible electrically conducting and radiating. The unsteadiness in the flow is caused by the time-dependence of the velocity of the stretching surface. The governing partial differential equations of the flow are transformed into nonlinear ordinary differential equations using Similarity Transformations. Numerical solution of the non-linear differential equations are obtained using efficient shooting technique such as Runge-Kutta Fourth order based shooting method along with Nachtsheim-Swigert Iteration technique for the satisfaction of asymptotic boundary conditions. Numerical computations for velocity and temperature are carried out for different values of the non-dimensional parameters involved in the study such as Unsteadiness parameter (A), Magnetic parameter (M), Prandtl number (Pr), Eckert number (Ec), Radiation parameter (R). The Skin Friction Co-efficient and the Rate of heat transfer at the plate are also calculated numerically.

Keywords

Unsteady, Stretching Surface, MHD, Viscous Dissipation, Joule’s Dissipation, Radiation.
Subscription Login to verify subscription
User
Notifications
Font Size


  • Alam, M., Alim, M.A and Chowdhury, M.K. (2007) Nonlinear Anal. Model. Control, 12(4), 447.

  • Anjali Devi, S.P., Ganga, B. (2009) Nonlinear Anal. Modell. Control, 14(3), 303.

  • Chakrabarti, A., Gupta, A.S. (1979) Q. Appl. Math., 37, 73.

  • Chen, C.K., Char, M.I. (1988) J. Math. Anal. Appl., 135(1), 568.

  • Copiello, D., Fabbri, G. (2008) Heat Mass Trans., 44, 599.

  • Cortell, R. (2008) Phys. Lett. A, 372, 631.

  • Crane, L.J. (1970) J. Appl. Math. Phys. (ZAMP), 21, 645.

  • Dutta, B.K., Roy, P., Gupta, A.S. (1985) Int. Common. Heat Mass Transfer, 12 (1), 89.

  • El-Amin, M.F. (2003) J. Magn. Magn. Mater. 263, 337.

  • Erickson, L.E., Fan, L.T., Fox, V.G. (1966) Indust. Engrg. Chem.Fund 5, 19.

  • Gebhart, B.(1962) J. Fluid M ech., 14, 225.

  • Kumar, B., Rajesh, D., Raghuraman, R.S., Muthucumaraswamy, R. (2002.) Acta Mech., 153, 249.

  • Mahmoud, M.A.A. (2007) Appl. Math. Sci., 1(17), 799.

  • Pal. D., Talukdar, B. (2010) Commun. Nonlinear Sci. Numer. Simul. 15, 1813.

  • Sakiadis, B.C. (1961) AIChE J. 7, 26.

  • Samad, M.A., Mohebujjaman, M. (2009) Res. J. Appl. Sci. Eng. Technol., 1(3), 98.

  • Soundalgekar, V.V., Ramanamurthy, T.V. (1980) Warme und Stoffubertragung 14, 91.

  • Tsou, F.K., Sparrow, F.K., Goldstein, R.J. (1967) Internat. J. Heat Mass Transfer, 10(1967), 219.

  • Vajravelu, K., Hadjinicalaou, A. (1993) Int. Comm. Heat Mass Trans., 20, 417.

  • Vajravelu. K., Rollins, D. (1992) Internat. J. Non-Linear Mech., 27 (2), 265.


Abstract Views: 774

PDF Views: 0




  • Unsteady Hydromagnetic Flow past a Stretching Surface with Dissipation and Radiation Effects

Abstract Views: 774  |  PDF Views: 0

Authors

D. Vasantha Kumari
Department of Applied Mathematics, Bharathiar University, Coimbatore – 641046, Tamil Nadu, India
S.P. Anjali Devi
Department of Applied Mathematics, Bharathiar University, Coimbatore – 641046, Tamil Nadu, India

Abstract


This paper deals with an analysis which is performed to investigate the effects of dissipation and radiation over an unsteady MHD flow past a stretching surface. The fluid is assumed to be viscous, incompressible electrically conducting and radiating. The unsteadiness in the flow is caused by the time-dependence of the velocity of the stretching surface. The governing partial differential equations of the flow are transformed into nonlinear ordinary differential equations using Similarity Transformations. Numerical solution of the non-linear differential equations are obtained using efficient shooting technique such as Runge-Kutta Fourth order based shooting method along with Nachtsheim-Swigert Iteration technique for the satisfaction of asymptotic boundary conditions. Numerical computations for velocity and temperature are carried out for different values of the non-dimensional parameters involved in the study such as Unsteadiness parameter (A), Magnetic parameter (M), Prandtl number (Pr), Eckert number (Ec), Radiation parameter (R). The Skin Friction Co-efficient and the Rate of heat transfer at the plate are also calculated numerically.

Keywords


Unsteady, Stretching Surface, MHD, Viscous Dissipation, Joule’s Dissipation, Radiation.

References