MHD Flow Of Walters’ Liquid B Over A Nonlinearly Stretching Sheet

The paper discusses the boundary layer flow of a weak electrically conducting viscoelastic Walters’ liquid B over a nonlinearly stretching sheet subjected to an applied transverse magnetic field, when the liquid far away from the surface is at rest. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. An analytical expression is obtained for the stream function and velocity components as a function of the viscoelastic parameter, the Chandrasekhar number and stretching related parameters. The results have possible technological applications in liquid based systems involving stretchable materials.

REFERENCES (10)

Andersson H.I. (1992): MHD flow of a viscoelastic fluid past a stretching surface. – Acta Mech., vol.95, pp.227-230.

Google Scholar

Beard D.W. and Walters K. (1964): Elastico-viscous boundary-layer flows. - I. Two-dimensional flow near a stagnation point. – Proc. Camb. Phil. Soc., vol.60, pp.667-674.

Google Scholar

Crane L.J. (1970): Flow past a stretching plate. – Z. Angew. Math. Phys., vol.21, pp.645-647.

Google Scholar

Dandapat B.S., Singh S.N. and Singh R.P. (2004): Heat transfer due to permeable stretching wall in presence of transverse magnetic field. – Arch. Mech., vol.56, No.2, pp.127-141.

Google Scholar

Pavlov K.B. (1974): Magnetohydrodynamic flow of an incompressible viscous liquid caused by deformation of plane surface. – Magnetnaya Gidrodinamica, vol.4, pp.146-147.

Google Scholar

Rajagopal K.R., Na T.Y. and Gupta A.S. (1987): Flow of a viscoelastic fluid over a stretching sheet. – Rheo. Acta, vol.23, pp.213-215.

Google Scholar

Sakiadis B.C. (1961b): Boundary-layer behavior on continuous solid surfaces, II. The boundary layer on a continuous flat surface. – A.I.Ch.E. J., vol.7, pp.221-225.

Google Scholar

Siddheshwar P.G. and Mahabaleshwar U.S. (2005): Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet. – Int. J. Nonlinear Mech., vol.40, pp.807-820.

Google Scholar

Takhar H.S., Ali M.A. and Gupta A.S. (1989): Stability of magnetohydrodynamic flow over a stretching sheet. – In: Liquid metal hydrodynamics (Lielpeteris, J., Moreau, R., eds.), pp.465-471, Dordrecht: Kluwer.

Google Scholar

10.

Vleggaar J. (1977): Laminar boundary-layer behaviour on continuous accelerating surfaces. – Chem. Eng. Sci., vol.32, No.12, pp.1517-1525.

Google Scholar

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