![]() Despite the nonlinearity of the work, the methodology gives us stability and accuracy of outcomes. examined the effects of viscous fluid flow in a permeable channel as imposed binary constituency mixture in the domain. Particularly, the viscous models preserved the general form of Navier–Stokes (NS) for Newtonian fluid because it depends on shear rate. Considerations in this field have been continuing for over a decade, which contained Newtonian or non-Newtonian models, linear or nonlinear viscoelastic models, etc. Ĭomputational elucidation of the generalized Newtonian fluid flow behaviors, thus, becomes a famous topic from the perception of both academics and the application. The characteristics of thermal flow in a channel have been highlighted in. Also, they compared their results with the experimental data of other researchers for configuration of code. examined the characteristics of power law fluid flow in a channel under thermal consideration. Also, the effects of fluid forces and Nusselt number in the given domain are examined. Thermal flow around the block in the channel for large Reynolds number ( R e ) is studied numerically using the finite volume approach. , and also, the results of a blind and porous medium channel were compared. The forced convection thermal flow over the blocks embedded in a permeable medium was considered by Sayehvand et al. Furthermore, hydrodynamic forces and Nusselt number are described by fluent. analyzed the influence of forced convection flow of generalized Newtonian fluid over the confined semiheater. They also analyzed the effects of fluid forces over the block. examined the flow visualization of thermal flow around the elliptic cylinder based on a large Reynolds number. depicted the influence of flow pattern and energy exchange over the square block by capitalizing of the finite volume scheme (FVS). The influence of fluid flow in a heated pipe filled with nanomaterial is considered by Kamyar et al. Also, the effects of periodic flow with time state and average Nusselt number are presented. analyzed the characteristics of thermal flow over the heated rectangular cylinder by the implementation of an arbitrary Lagrangian–Eulerian kinematic (ALEK) descriptive technique. In general, the geometrical configuration is categorized for the heated cylinder with thermal plates flowing toward the upstream direction. For more appropriate settings of visco-thermal flows, most excessive mixtures of fluid flow (emulsions, suspensions of paper pulps, foams, etc.) and most expensive systems of molecular polymers (blends, melts, etc.) have revealed shear-thickening or shear-shinning characteristics in the literature for a decade. Thermal flow over a stationary heated cylinder does not have many physical applications such as thermal processing of electronic cooling, fibrous suspensions, and others, moreover, use in a specific region of heat transfer for space economy. Furthermore, the drag ( C D ) and lift ( C L ) coefficients are more pronounced for shear-thinning cases ( n 1 ). For convergence of solution at low shear rate ( n 1 ), it converges to a single value. After simulation, the results accomplished in the velocity profile, pressure, isotherm contours, drag and lift coefficients (trajectory motion), average Nusselt number ( N u a v g ), etc. For the authentication, we have compared our results with the literature at a similar configuration. For this forced convective study, the range of dimensionless parameters, namely, the Prandtl number ( P r ) and power law index ( n ), are varied from 1 to 10 and 0.6 to 1.4 with a low Grashof number varying as ( 1 ≤ G r ≤ 10 ) to produce a forced convection regime, respectively. The discrete nonlinear system arising from this discretization is linearized by Newton’s method and then solved through a direct linear solver PARDISO. The temporal discretization is performed by an implicit stable backward differencing in time and a stable choice of finite elements from the finite element library for spatial discretization. The unsteady, incompressible Navier–Stokes (NS) equations with suitable initial and boundary data in 2D are executed by the finite element technique using a highly refined hybrid mesh. In this work, we analyze the characteristics of periodic flows in non-isothermal viscous fluid over a heated block in the presence of thermal plates at Reynolds number ( R e = 100 ). 4Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, Saudi Arabia.3Department of Mathematics, University of Management and Technology, Lahore, Pakistan.2Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi Arabia.1Department of Mathematics, Air University, Islamabad, Pakistan.Hamadneh 2*, Imran Siddique 3, Ilyas Khan 4 and Nawa Alshammari 2 ![]() Afraz Hussain Majeed 1, Rashid Mahmood 1, Nawaf N.
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