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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, East sikkim, Sikkim, 737 132, India

    B. S. Dandapat

  2. Department of mathematics, Jangipur college, Murshidabad, 742213, India

    Bidyut Santra

  3. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203-B. T. Road, Calcutta, 700 108, India

    S. K. Singh

Authors
  1. B. S. Dandapat
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  2. Bidyut Santra
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  3. S. K. Singh
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Correspondence to B. S. Dandapat.

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Dandapat, B.S., Santra, B. & Singh, S.K. Thin film flow over a non-linear stretching sheet in presence of uniform transverse magnetic field. Z. Angew. Math. Phys. 61, 685–695 (2010). https://doi.org/10.1007/s00033-010-0074-3

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  • DOI: https://doi.org/10.1007/s00033-010-0074-3

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