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Axisymmetric stagnation-point flow of non-Newtonian nanomaterial and heat transport over a lubricated surface: Hybrid homotopy analysis method simulations

Manzoor AhmadDepartment of Mathematics, University of Azad Jammu & Kashmir , Muzaffarabad 13100 , PakistanVediyappan GovindanDepartment of Engineering Sciences, Peking University , Beijing , ChinaSami Ullah KhanDepartment of Mathematics, Namal University , Mianwali 42250 , PakistanHaewon ByeonDepartment of AI Big Data, Inje University , Gimhae , 50834 , Republic of KoreaMuhammad TajDepartment of Physics, University of Agriculture , Faisalabad 38000 , PakistanNadia BatoolDepartment of Mathematics, University of Azad Jammu & Kashmir , Muzaffarabad 13100 , PakistanDilsora AbduvalievaDepartment of Pedagogical Sciences, Tashkent State Pedagogical University , Bunyodkor Avenue, 27 , Tashkent , 100070 , UzbekistanFuad A. AwwadDepartment of Quantitative Analysis, College of Business Administration, King Saud University , P.O. Box 71115 , Riyadh 11587 , Saudi ArabiaEmad A. A. IsmailDepartment of Quantitative Analysis, College of Business Administration, King Saud University , P.O. Box 71115 , Riyadh 11587 , Saudi Arabia
Open Physicsjournal2023en
ABI

Abstract

Abstract The heat transfer phenomenon associated with the lubricated surfaces offers applications in the manufacturing processes, thermal systems, industrial systems, and engineering phenomenon. It is a well-established fact that improvement in heat transfer is recently successfully claimed with the interaction of nanoparticles. Following such motivation in mind, the prime objective of current continuation is to perform the prediction of heat transfer in second-grade material subject to the lubricated surface. The lubricants are filled with non-Newtonian power law material. The varying thickness of the thin lubricating layer permits an imperfect slip surface. The second-grade fluid interfaces with the boundary condition. The modified semi-analytical tool termed as hybrid homotopy scheme is used to perform the simulations. Shooting and homotopy methods are combined in this new approach. Relevant effects of parameters on physical phenomenon are explained. The importance of influencing parameters in relation to the velocity field, temperature, and concentration profiles is investigated graphically. It is claimed that analytical computations existed for shear thinning case. It is observed that there is a noticeable drop in concentration and thermal profiles due to the variation of viscoelastic parameter. The control of free stream velocity is claimed due to the interaction of slip parameters.

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