Zeitschrift für angewandte Mathematik und Physik

, Volume 61, Issue 4, pp 685–695

Thin film flow over a non-linear stretching sheet in presence of uniform transverse magnetic field

Authors

    • Department of MathematicsSikkim Manipal Institute of Technology
  • Bidyut Santra
    • Department of mathematicsJangipur college
  • S. K. Singh
    • Physics and Applied Mathematics UnitIndian Statistical Institute
Article

DOI: 10.1007/s00033-010-0074-3

Cite this article as:
Dandapat, B.S., Santra, B. & Singh, S.K. Z. Angew. Math. Phys. (2010) 61: 685. doi:10.1007/s00033-010-0074-3

Abstract

A thin viscous liquid film flow is developed over a stretching sheet under different non-linear stretching velocities in presence of uniform transverse magnetic field. Evolution equation for the film thickness is derived using long-wave approximation of thin liquid film and is solved numerically by using the Newton–Kantorovich method. It is observed that all types of stretching produces film thinning, but non-monotonic stretching produces faster thinning at small distance from the origin. Effect of the transverse magnetic field is to slow down the film thinning process. Observed flow behavior is explained physically.

Mathematics Subject Classification (2000)

7676A2076D08

Keywords

Thin liquid filmFree surface flowViscous flowNon-linear stretchingStretching sheetMHD
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