Flow analysis of viscoelastic fluid due to a shrinking sheet

• Autorzy: Nandeppanavar, M. M. , Siddalingappa, M. N. , Kemparaju, M. C.
• Języki publikacji: EN

Abstrakty

EN

This work is concerned with the analysis of a two dimensional flow of a viscoelastic fluid (Walters' liquid B) induced by a shrinking sheet. The governing partial differential equations are first reduced to ordinary nonlinear differential equations by using the appropriate similarity transformation. An exponential solution is assumed to solve the considered boundary value problem. The effects of governing pertinent physical parameters on the flow characteristics are presented graphically and discussed.

Słowa kluczowe

PL

parametry elastyczności; dokładne rozwiązanie; lepkosprężystość

EN

shrinking sheet; mass suction; viscoleastic parameter; exact solution

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 1
• Strony: 249-257
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Nandeppanavar, M. M.

autor

Siddalingappa, M. N.

autor

Kemparaju, M. C.

• Department of PG and UG studies in Mathematics Government College Gulbarga-585105 Karnataka, INDIA,

Bibliografia

• Altan T., Oh S. and Gegel H. (1979): Metal Forming Fundamentals and Applications. - American Society of Metals, Metals Park, OH.
• Fang T. (2008): Boundary layer flow over a shrinking sheet with power-law velocity. - Int. J. Heat Mass Transfer, vol.51, pp.5838-5843.
• Fang T. and Zhang J. (2009): Closed form exact solutions of MHD viscous flow over a shrinking sheet. - Commun. Nonlinear. Sci. Numer. Simulate, vol.14, No.7, pp.5853-7.
• Fang T., Zhang J. and Yao S. (2009): Viscous flow over an unsteady shrinking sheet with mass transfer. - Chin. Phys. Lett., vol.26, No.1, 14703.
• Fang T. and Zhang J. (2009): Heat transfer a shrinking sheet- an analytic solution. - Acta Mech., doi.10.1007/s00707-009-08183-2-2009.
• Fang T., Liang W. and Lee C.F. (2008): A new solution branch for the Blasius equation- a shrinking sheet problem. - Comput. Math. Appl., vol.56, pp.3088-3095.
• Fang T., Yao S., Zhang J. and Aziz A. (2010): Viscous flow over a shrinking sheet with a second order slip flow model. - Comm. in Nonlinear Sci. and Numeric. Simul., vol.15, No.7, pp.1831-1842.
• Fisher E.G. (1976): Extrusion of plastics. - NewYork: Wiley.
• Goldstein S. (1965): On backward boundary layers and flow in converging passages. - J. Fluid. Mech., vol.21, pp.33-45.
• Hayat T., Abbas Z. and Sajid M. (2007): On analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet. - J. Appl. Mech. Trans. ASME, vol.74, No.6, pp.1165-71.
• Hayat T., Abbas Z. and Ali N. (2008): MHD flow and mass transfer of a upper-convected Maxwell fluid past a porous shrinking sheet with chemical reaction species. - Phys. Lett. A 372, pp.4698-4704.
• Miklavcic M. and Wang C.Y. (2006): Viscous flow due to a shrinking sheet. - Quart. Appl. Math., vol.64, pp.283-290.
• Noor N.F.M., Kechil S.A. and Hashim I. (2010): Simple non-perturbative solution for MHD viscous flow due to a shrinking sheet. - Commun. Nonlinear. Sci. Numer. Simulate, vol.15, pp.144-148.
• Sajid M., Hayat T. and Javed T. (2008): MHD rotating flow of a viscous fluid over a shrinking surface. - Nonlinear Dyn., vol.51, pp.259-65.
• Sajid M. and Hayat T. (2009): The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet. - Chaos, Solitons and Fractals, vol.39, pp.1317-1323.
• Tadmor Z. and Klein I. (1970): Engineering principles of plasticating extrusion. - Polymer Science and Engineering Series, Van Nostrand Reinhold, New York.
• Wang C.Y. (1990): Liquid film on an unsteady stretching sheet. - Quart. Appl. Math., vol.48, pp.601-610.
• Wang C.Y. (2008): Stagnation flow towards a shrinking sheet. - Int. J. Nonlinear Mech., vol.43, pp.377-382.