Influence of non-integer order parameter and Hartmann number on the heat and mass transfer flow of a Jeffery fluid over an oscillating vertical plate via Caputo-Fabrizio time fractional derivatives

Regular Article

Abstract.

In this work, semi analytical solutions for the heat and mass transfer of a fractional MHD Jeffery fluid over an infinite oscillating vertical plate with exponentially heating and constant mass diffusion via the Caputo-Fabrizio fractional derivative are obtained. The governing equations are transformed into dimensionless form by introducing dimensionless variables. A modern definition of the Caputo-Fabrizio derivative has been used to develop the fractional model for a Jeffery fluid. The expressions for temperature, concentration and velocity fields are obtained in the Laplace transformed domain. We have used the Stehfest’s and Tzou’s algorithm for the inverse Laplace transform to obtain the semi analytical solutions for temperature, concentration and velocity fields. In the end, in order to check the physical impact of flow parameters on temperature, concentration and velocity fields, results are presented graphically and in tabular forms.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • A. R. Butt
    • 1
  • M. Abdullah
    • 1
  • N. Raza
    • 2
  • M. A. Imran
    • 3
  1. 1.Department of MathematicsUniversity of Engineering & TechnologyLahorePakistan
  2. 2.Department of MathematicsUniversity of the PunjabLahorePakistan
  3. 3.Department of MathematicsUniversity of Management & TechnologyLahorePakistan

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