Second Grade Fluid for Rotating MHD of an Unsteady Free Convection Flow in a Porous Medium

Article Preview

Abstract:

Rotating effects and magnetohydrodynamic (MHD) free convection flow of second grade fluids in a porous medium is considered in this paper. It is assumed that the bounding infinite inclined plate has ramped wall temperature with the presence of heat and mass diffusion. Based on Boussinesq approximation, the analytical expressions for dimensionless velocity, temperature and concentration are obtained by using the Laplace transform method. All the derived solutions satisfying the involved differential equations with imposed boundary and initial conditions. The influence of various parameters on the velocity has been analyzed in graphs and discussed.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

100-107

Citation:

Online since:

April 2015

Export:

Price:

[1] U. S. Rajput and S. Kumar, Int. J. Math. Anal. Vol. 5(24) (2011) p.1155.

Google Scholar

[2] G. S. Seth, R. Nandkeolyar and M. S. Ansari, Int. J. Appl. Math. Mech. Vol. 7(21) (2011) p.52.

Google Scholar

[3] Z. Ismail, I. Khan and S. Shafie, Rotation and Heat Absorption Effects on Unsteady MHD Free Convection Flow in a Porous Medium past an Infinite Inclined Plate with Ramped Wall Temperature (WSEAS Press, Greece 2013).

DOI: 10.1063/1.4887624

Google Scholar

[4] S. Sivasankaran, M. Bhuvaneswari, P. Kandaswamy and E. K. Ramasami, Commun. Nonlinear Sci. Numer. Simul. Vol. 13 (2008) p.269.

Google Scholar

[5] C. J. Toki, Differ. Equ. Control Processes, Vol. 3 (2009) p.35.

Google Scholar

[6] M. Narahari, An Exact Solution of Unsteady MHD Free Convection Flow of a RadiatingGas past an Infinite Inclined Isothermal Plate (Trans Tech Publications, Switzerland 2011).

DOI: 10.4028/www.scientific.net/amm.110-116.2228

Google Scholar

[7] Z. Ismail, A. Hussanan, I. Khan and S. Shafie, Int. J. Math. Stat. Vol. 45(15) (2013) p.77.

Google Scholar

[8] Z. Ismail, I. Khan, A. Imran, A. Hussanan and S. Shafie, Malaysia J. Fund. Appl. Sci. Vol. 10(1) (2014) p.37.

Google Scholar

[9] T. Hayat, M. Nawaz, M. Sajid and S. Asghar, Comput. Math. Appl. Vol. 58 (2009) p.369.

Google Scholar

[10] T. Hayat, S. Hina and A. A. Hendi, Heat Transfer-Asian Res. Vol. 40(7) (2011) p.577.

Google Scholar

[11] P. D. Verma, R. Singh and P. R. Sharma, Proc. Indian Natl. Sci. Acad. Vol 53 (1987) p.317.

Google Scholar

[12] W. C. Tan and M. Y. Xu, Mech. Res. Commun. Vol. 29 (2002) p.3.

Google Scholar

[13] Samiulhaq, S. Ahmad, D. Vieru, I. Khan and S. Shafie, Plos One, Vol. 9(5) (2014) p.1.

Google Scholar