Zeitschrift für angewandte Mathematik und Physik

, Volume 61, Issue 4, pp 685-695

First online:

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

  • B. S. DandapatAffiliated withDepartment of Mathematics, Sikkim Manipal Institute of Technology Email author 
  • , Bidyut SantraAffiliated withDepartment of mathematics, Jangipur college
  • , S. K. SinghAffiliated withPhysics and Applied Mathematics Unit, Indian Statistical Institute

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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)

76 76A20 76D08


Thin liquid film Free surface flow Viscous flow Non-linear stretching Stretching sheet MHD