This paper investigates the thermal effects of magnetohydrodynamic micropolar fluid with hidden phenomenon of heat and mass transfer via Caputo–Fabrizio fractional derivative.
Analytical solutions are obtained for velocity field, mass concentration, microrotation and temperature distribution by implementing Fourier Sine and Laplace transform. The general solutions have been expressed in terms of simple elementary functions involving the convolution theorem for the Laplace transform.
The graphical illustration is depicted in order to explore the influence of rheological parameters, i.e., Grashof, Prandtl, Schmidt numbers, transverse magnetic field, microrotation parameter, porosity and few other parameters on micropolar fluid flow.
Fractional calculus Caputo–Fabrizio fractional derivative Fourier Sine and Laplace transforms Micropolar fluid
List of symbols
Species concentration away from plate
Species concentration near plate
Acceleration due to gravity
Volumetric coefficient of thermal expansion
Volumetric coefficient of mass expansion
Spin gradient viscosity
Heat capacity at a constant pressure
Heat transfer coefficient
Spin gradient viscosity parameter
Thermal Grashof number
Fourier Sine transform parameter
Unit step function
Density of fluid
Dynamics viscosity of fluid
Radiative heat flux
Modified Grashof number
Laplace transform parameter
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The author Kashif Ali Abro is highly thankful and grateful to Mehran University of Engineering and Technology, Jamshoro, Pakistan, for generous support and facilities of this research work. José Francisco Gómez Aguilar acknowledges the support provided by CONACyT: Cátedras CONACyT para jóvenes investigadores 2014 and SNI-CONACyT.
All authors contributed equally and significantly in writing this article. All authors read and approved the final manuscript.
Compliance with ethical standards
Conflict of interest
The authors declare that there is no conflict of interests regarding the publication of this paper.
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