AIMS Mathematics (Feb 2022)

Unsteady Casson fluid flow over a vertical surface with fractional bioconvection

  • Muhammad Imran Asjad,
  • Muhammad Haris Butt,
  • Muhammad Armaghan Sadiq,
  • Muhammad Danish Ikram ,
  • Fahd Jarad

DOI
https://doi.org/10.3934/math.2022451
Journal volume & issue
Vol. 7, no. 5
pp. 8112 – 8126

Abstract

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This paper deals with unsteady flow of fractional Casson fluid in the existence of bioconvection. The governing equations are modeled with fractional derivative which is transformed into dimensionless form by using dimensionless variables. The analytical solution is attained by applying Laplace transform technique. Some graphs are made for involved parameters. As a result, it is found that temperature, bioconvection are maximum away from the plate for large time and vice versa and showing dual behavior in their boundary layers respectively. Further recent literature is recovered from the present results and obtained good agreement.

Keywords