Journal of Mathematical Analysis and Modeling

Yazarlar: ["Muhammad Ramzan", "Mudassar Nazar"]

Konular:-

DOI:10.48185/jmam.v3i2.322

Anahtar Kelimeler: Casson fluid,Free convection,Chemical reaction,Heat generation,Thermo diffusion,Caputo(C),Caputo-Fabrizio(CF),Atangana-Baleanu(AB) fractional derivative

Özet: Analytical solution of thermo diffusion effect on magnetohydrodynamics flow of fractionalized Casson fluid over a vertical plate immersed in a porous media is obtained. Moreover, in the model of the problem, additional effects, like a chemical reaction, heat source/sink, and thermal radiation are also considered. The model is solved by three approaches, namely, Atangana-Baleanu, Caputo-Fabrizio, and Caputo fractional derivative of non-integer order γ. The governing dimensionless equations for temperatures, concentrations, and velocities are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter γ, Thermo diffusion Sr, and magnetic parameter M are discussed through numerous graphs. Furthermore, comparisons among ordinary and fractionalized velocity fields are also drawn. It is found that the velocity obtained with Atangana-Baleanu fractional derivative is less than that obtained by Caputo, Caputo-Fabrizio, or ordinary derivatives.

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