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MHD flow of a Newtonian fluid in symmetric channel with ABC fractional model containing hybrid nanoparticles


Muhammad Danish Ikram, Muhammad Asjad Imran, Yu Ming Chu and Ali Akgül*  


Introduction: The nanofluid is novelty of nanotechnology to overcome the difficulties of heat transfer in several manufacturing and engineering areas. Fractional calculus has many applications in nearly all fields of science and engineering which comprises electrochemistry, dispersion and viscoelasticity.

Objectives: This paper focused on the heat transfer of hybrid nanofluid in two vertical parallel plates and presented a comparison between fractional operators.

Methods: The fractional viscous fluid model is considered with physical initial and boundary conditions for the movement occurrences. The analytical solutions were obtained via Laplace transform method for the concentration, temperature and velocity fields. After that we presented a comparison between Atangana-Baleanu (ABC), Caputo (C) and Caputo-Fabrizio (CF) fractional operators.

Results: The comparison of different base fluids (Water, kerosene, Engine Oil) is discussed graphically for temperature and velocity. It is resulted that due to high thermal conductivity in water, temperature and velocity are high. While engine oil has maximum viscosity than water and kerosene, so temperature and velocity are very low. Due to the thermal conductivity improving with the enrichment of hybrid nanoparticles, so the Temperature is increased and since viscosity increased, so the velocity is reduced.

Conclusion: Atangana-Baleanu (ABC) fractional operator gives better memory effect of concentration, temperature and velocity fields than Caputo (C) and Caputo-Fabrizio (CF). Temperature and velocity of water with hybridized nanoparticles is high in comparison with kerosene and engine oil.


Hybrid nanofluid, Heat generation, Newtonian fluid model, Fractional derivative, MHD flow, M-function


Department of Mathematics, University of Management and Technology Lahore, 54770, Department of Mathematics, University of Management and Technology Lahore, 54770 , Department of Mathematics, Huzhou University, Huzhou 313000, Siirt University, Art and Science Faculty, Department of Mathematics, TR-56100 Siirt

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