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Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet

Muhammad SohailDepartment of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, 64200, PakistanEssam R. El‐ZaharDepartment of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, 32511, EgyptAbd Allah A. MousaDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi ArabiaUmar NazirDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad, 44000, PakistanSaad AlthobaitiDepartment of Sciences and Technology, Ranyah University Collage, Taif University, P.O. Box 11099, Taif, 21944, Saudi ArabiaAli AlthobaitiDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi ArabiaNehad Ali ShahDepartment of Mechanical Engineering, Sejong University, Seoul, 05006, Korea. [email protected]Jae Dong ChungDepartment of Mechanical Engineering, Sejong University, Seoul, 05006, Korea
2022en
ABI

Аннотация

Thermal performance can be enhanced due to the mixing of nanoparticles in base fluid. This research discusses the involvement of ternary hybrid nanoparticles in the mixture of pseudo-plastic fluid model past over a two dimensional porous stretching sheet. Modelling of energy equation is carried out in the presence of external heat source or sink and viscous dissipation. The flow presenting equations and derived in Cartesian coordinate system under usual boundary layer theory in the form of complex coupled partial differential equations (PDEs). The derived PDEs have been converted into corresponding ordinary differential equations (ODEs) with the engagement of suitable transformation. The engineers, scientists and mathematicians have great interest in the solution of differential equations because to understand the real physics of the problem. Here, finite element scheme has been used to approximate the solution of the converted problem. The contribution of several emerging parameters on solution have been displayed through graphs and discussed. It is recommended that the finite element method can be engaged to approximate the solution of nonlinear problems arising in modelling the problem in mathematical physics.

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