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A note on the Blasius and Sakiadis flow of a non-Newtonian power-law fluid in a constant transverse magnetic field

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Abstract

The Blasius and Sakiadis flows of a non-Newtonian power-law conducting fluid under the effect of a constant transverse magnetic field is considered. The boundary layer equations are transformed into a non-dimensional form and a new dimensionless magnetic parameter is introduced. The transformed boundary layer equations are solved with a finite difference method. Both Blasius and Sakiadis flows reach an asymptotic state and become one-dimensional with the increase of the coordinate in the streamwise direction. The flow behavior in the intermediate region is studied and exact analytical solutions have been found for the asymptotic state. The characteristics of physical and engineering interest are discussed in the paper in detail.

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Authors and Affiliations

  1. School of Engineering, Democritus University of Thrace, 67100, Xanthi, Greece

    Asterios Pantokratoras

  2. Department of Mechanical and Aerospace Engineering, North Carolina State University, 3182 Broughton Hall, Campus Box 7910, 2601 Stinson Drive, Raleigh, NC, 27695, USA

    Tiegang Fang

Authors
  1. Asterios Pantokratoras
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  2. Tiegang Fang
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Correspondence to Asterios Pantokratoras.

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Pantokratoras, A., Fang, T. A note on the Blasius and Sakiadis flow of a non-Newtonian power-law fluid in a constant transverse magnetic field. Acta Mech 218, 187–194 (2011). https://doi.org/10.1007/s00707-010-0406-6

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  • DOI: https://doi.org/10.1007/s00707-010-0406-6

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