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Radiating effect of viscous dissipation of solar radiative heat flux over a rough rotating disk

Mair KhanDepartment of Mathematics, University College Zhob, BUITEMS, Zhob 85200, IslamabadT. SalahuddinDepartment of Mathematics, Mirpur University Science and Technology, MUST 10250, PakistanMuhmmad AwaisDepartment of Mathematics, Mirpur University Science and Technology, MUST 10250, PakistanSadia AyubIqra University Chak Shahzad Campus, Islamabad 44000, PakistanMirjalol IsmoilovDepartment of Transport systems, Urgench State University named after Abu Rayhan Biruni, Urgench, 14, Kh.Alimdjan str, Urgench city, 220100, UzbekistanIlkhom KhaydarovSchool of Exact Sciences, National Pedagogical University of Uzbekistan named after Nizami, Tashkent, Uzbekistan
ABI

Аннотация

The flow and thermal performance of non-Newtonian fluid past under high shear and radiative heating over the rotating surface is essential in lubrication technology, energy systems, and thermal management devices, where the slip effects, surface roughness, and radiative heating cannot be neglected. The intention of the current work is to investigate the forced flow of generalized Newtonian fluid, namely Carreau fluid, across a heated rotated disk. We analyze the effects of both radial and azimuthal surface roughness on the laminar boundary-layer flows. The thermal behavior is examined by incorporating solar radiative heat flux and temperature dependent thermal conductivity. Viscous dissipation is described through the conversion of mechanical energy into internal energy via the Eckert number formulation, and the solar radiation impact is included in the energy equation through an existing radiative heat flow factor that represents surface absorption. The base-flow profiles for the velocity components are derived by modelling the surface with a partial slip approach. The current solutions are calculated by using the Carreau viscosity model. Under moderate von Kármán similarity solutions, the base flow profiles are presented. A 5th-order Runge-Kutta computation scheme and a shooting approach are used to calculate the numerical results of the governing equations. Graphs and tables are used to provide a physical explanation of all the obtained findings for the temperature and mean flow profiles. The results reveal that the axial velocity is increased with increasing power law index but non-zero strength of axial flow. An increment in the axial roughness parameter decreases the radial profile. The temperature profile upsurges for increasing values of the radiation parameter and Eckert number. The radial velocity profile's non-zero convergence decreases when axial flow strength parameter is non-zero.

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