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Title Thermally Radiative and Magnetohydrodynamic Flow of Hybrid Nanofluid in the presence of Joule Heating.

Author(s) Saira Khan

Abstract Hybrid nanofluids are an advanced group of nanofluids which offer extremely efficient heat transfer and fluid flow properties when two distinct nanoparticles are blended with a basefluid. Consequently, they prove to be of great significance when the industrial, technological and engineering sectors are concerned. These fluids are playing a role in revolutionizing industries by offering superior heat transfer and energy efficiency. Their potential applications continue to expand, making them a critical innovation in thermal management, and energy systems. This analysis focuses on the examination of the Darcy Forchheimer flow of three unique fluids, two nanofluids (𝑍𝑛𝑂/𝐾𝑒𝑟𝑜𝑠𝑒𝑛𝑒 𝑜𝑖𝑙 ) and (𝐴𝑙2𝑂3/𝐾𝑒𝑟𝑜𝑠𝑛𝑒 𝑜𝑖𝑙) and their resulting hybrid nanofluid (𝑍𝑛𝑜 − 𝐴𝑙2𝑂3/𝐾𝑒𝑟𝑜𝑠𝑒𝑛𝑒 𝑜𝑖𝑙). The fluids are flowing over a shrinking sheet placed in a porous medium. The effects of magnetohydrodynamics, thermal radiation, combined with Joule heating are also of importance in this study. The flow model, based on the partial differential equations, is reduced into a system of ordinary differential equations by employing sufficient similarity transformations. This model is further solved using the bvp4c tool in MATLAB software, which provides the numerical results along with graphical outcomes. Influence of various notable parameters on the velocity and temperature distribution have been investigated. It has been observed that the temperature profile increases for higher values of Eckert number, magnetic parameter, radiation parameter and Biot number respectively. The velocity profile declines when the porosity parameter, Forchheimer number, inclination angle and the nanoparticles concentration is enhanced. The critical parameters of Skin friction coefficient and Nusselt number have also been interpreted for different involved factors. The skin fraction coefficient amplifies for the velocity ratio parameter, magnetic and porosity parameter. On the other hand, Nusselt number reduces for the Eckert number, magnetic parameter as well as the radiation parameter.

Type Thesis/Dissertation MS

Faculty Engineering and Computer Science

Department Mathematics

Language English

Publication Date 2025-06-30

Subject Mathematics

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