Forced convection heat transfer of Williamson fluid flow in porous media over horizontal plate with constant heat flux

Abstract

Forced convection of Williamson fluid flow in porous media under constant surface heat flux conditions is investigated numerically. A model of Darcy–Forchheimer–Brinkman is used and the corresponding governing equations are expressed in dimensionless forms and solved numerically using bvp4c with MATLAB package. Boundary layer velocity, shear stress, and temperature profiles, in addition to the local Nusselt number parameter over a horizontal plate, are found. The effects of the Forchheimer parameter, Nusselt number, Darcy parameter, porous inertia, and Williamson parameter on the velocity profiles, temperature profiles, coefficient of friction, and coefficient of heat transfer are investigated. The results showed that as the Darcy parameter increases, boundary layer velocity and shear stress increase, while the temperature and Nusselt number decrease. In addition, as Williamson's parameter increases, velocity within the boundary layer, shear stress, and Nusselt number decrease while the temperature profile increases. Also, with larger values of the Forchheimer parameter, the velocity of the boundary layer, shear stress, temperature, and Nusselt number increase. Furthermore, the Nusselt number and the coefficient of friction are obtained on the surface of the horizontal plate.

Fluid flow and heat transfer characteristics of Williamson fluids flowing in saturated porous media

“…These results are consistent with previously results of Eswaramoorthi. 20 The distribution of velocity in boundary layer under various Darcy parameters, ζ x for fixed parameters of ( λ x = 0.2, β x = 0.2, and ε = 0.7) are shown in Figure 3. It is clear that, the velocity directly proportional with an increase in the Darcy parameter, this because of the solid pattern huge pores.…”

“…These results are consistent with previously results of Eswaramoorthi. 20 The distribution of velocity in boundary layer under various Darcy parameters, z x for fixed parameters of (l x = 0. As illustrate in Figure 6, the profiles of shear_stress using various Forchheimer_parameters, b x while l x = 0.2, z x = 0.2, and e = 0.7, it shows direct proportional increase of the shear_stress along with the Forchheimer_parameter for h less than 0.86.…”

“…Boundary layer velocity, shear stress, and temperature profiles, in addition to the local Nusselt number parameter over a horizontal plate, is investigated. Quran et al 20 developed forced convective flows in a channel, which filled with axially porous materials in order to explore temperature distribution along the wall.…”

Irreversibility analysis and thermal radiative of Williamson (ZnO+MOS 2/C 3 H 8 O 2) hybrid nanofluid over a porous surface with a suction effect

“…The cone, wedge, and plate on the flow of convective the Williamson hybrid nanofluid in a porous media of various nanoparticle forms past three different geometries were examined in the current study by Taghreed et al [7]. The hybrid nanofluid containing silver Ag and magnesium oxide MgO on the Williamson flowpassing due to an extended have been examined by Alhowaity et al [8].On a horizontal plate exposed to a continuous heat flux, numerical findings for the Williamson fluids in a porous surface were obtained by Omar Quran et al [9]. AbdulmajeedAlmaneea [10] examined the axisymmetric movement of a Williamson fluid containing Al O 2 3 and Cu in an MHD flow along a channel and a hot lateral moving surface.…”