Symmetric mhd channel flow of nonlocal fractional model of btf containing hybrid nanoparticles

• Main Authors: Saqib, M, Shafie, S., Khan, I., Chu, Y. M., Nisar, K. S.
• Format: Article
• Language: English
• Published: MDPI AG 2020
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/88184/1/MuhammadSaqib2020_SymmetricMHDChannelFlowofNonlocalFractional.pdf; http://eprints.utm.my/id/eprint/88184/; http://www.dx.doi.org/10.3390/SYM12040663

A nonlocal fractional model of Brinkman type fluid (BTF) containing a hybrid nanostructure was examined. The magnetohydrodynamic (MHD) flow of the hybrid nanofluid was studied using the fractional calculus approach. Hybridized silver (Ag) and Titanium dioxide (TiO2) nanoparticles were dissolved in base fluid water (H2O) to form a hybrid nanofluid. The MHD free convection flow of the nanofluid (Ag-TiO2-H2O) was considered in a microchannel (flow with a bounded domain). The BTF model was generalized using a nonlocal Caputo-Fabrizio fractional operator (CFFO) without a singular kernel of order α with effective thermophysical properties. The governing equations of the model were subjected to physical initial and boundary conditions. The exact solutions for the nonlocal fractional model without a singular kernel were developed via the fractional Laplace transform technique. The fractional solutions were reduced to local solutions by limiting α→1 . To understand the rheological behavior of the fluid, the obtained solutions were numerically computed and plotted on various graphs. Finally, the influence of pertinent parameters was physically studied. It was found that the solutions were general, reliable, realistic and fixable. For the fractional parameter, the velocity and temperature profiles showed a decreasing trend for a constant time. By setting the values of the fractional parameter, excellent agreement between the theoretical and experimental results could be attained.