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Computational analysis of radiative flow of power law fluid with heat generation effects: Galerkin finite element simulations

Shahid RafiqDepartment of Mathematics, Govt. Sadiq Egerton Graduate College, Bahawalpur, Bahawalpur 63100, PakistanMuhammad MustahsanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanMuhammad AsimDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanMumtaz KhanDepartment of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi ArabiaSami Ullah KhanDepartment of Mathematics, Namal University, Mianwali 42250, PakistanFurqan AhmadWestern Caspian University, Baku, AzerbaijanMuhammad WaqasDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonBarno Sayfutdinovna AbdullaevaDepartment of Mathematics and Information Technologies, Vice-Rector for Scientific Affairs, Tashkent State Pedagogical University, Tashkent, Uzbekistan
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This research aims to presents the free convective flow power law fluid due to vertical cone. The investigation for observing the heat transfer phenomenon is accounted to heat generation and radiative effects. The assumption of variable viscosity is taken into account. A vertical cone induced the flow. The dimensionless variables are followed to attains the simplified form. The numerical computations are performed with help of famous finite element method (FEM). The FEM algorithm is supported with applications of quadratic Lagrange polynomials. The results are confirmed with peak accuracy. The physical aspect of problem is presented in view of shear thickening, shear thinning and viscous material case. A comparative thermal reflection in absence and presence of heat generation have been endorsed. Moreover, the insight of various parameters on Nusselt number is also presented.

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