Abstract
This paper is an analysis of flow of MHD CNTs of second grade nano-fluid under the influence of first order chemical reaction, suction, thermal generation and magnetic field. The fluid is flowing through a porous medium. For the study of heat and mass transfer, we applied the newly introduced differential operators to model such flow. The equations for heat, mass and momentum are established in the terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu in Caputo sense (ABC) fractional derivatives. This shows the novelty of this work. The equations for heat, mass and momentum are established in the terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu in Caputo sense (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transform and inversion algorithm. The flow in momentum profile due to variability in the values of parameters are graphically illustrated among C, CF and ABC models. It is concluded that fluid velocity showed decreasing behavior for χ, P, ℏ2, Mo, Pr, ℵ and Sc while it showed increasing behavior for Gr, Gm, κ and Ao. Moreover, ABC fractional operator presents larger memory effect than C and CF fractional operators.
Highlights
Accepted: 29 October 2021Nowadays, carbon nanotubes (CNTs) have fascinated researchers worldwide
This paper reveals the study of three different fractional models to show the memory effect of CNT’s nanofluid model along with porosity, chemical reaction and suction/injection
The fractional models C, CF, and Atangana–Baleanu in Caputo sense (ABC) reduce to integer order model as χ tends to 1
Summary
Carbon nanotubes (CNTs) have fascinated researchers worldwide. Their stunning physical properties and very small dimensions makes them impressively useful in applied sciences, normal and artificial phenomena such as cooling instruments, crystal glowing, thermal exchange and various organic sciences. Maiti et al [17] studied the effect of the Caputo–Fabrizio derivative of fractional order model on the flow of blood in a porous tube having thermochemical properties under the magnetic and vibration mode. Alsagri et al [32] discovered that the dimensions of nano particles, thermal efficiency and volumetric fraction are directly proportional to each other in MHD finite film flow of human blood with CNTs nanofluids. Saqib et al [34] investigated flow of nanofluid under the influence of heat generation, magnetic field, shape effect of nanoparticles and thermal radiation. Fractional models of CNTs nanofluids have been rarely discussed due to their complexity It has been proven in many already published articles that the heat and mass transfer do not really or always follow the classical mechanics process that is known as a memoryless process. We use these laws, which shows the novelty of our work
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