Results in Engineering (Dec 2022)
Suction/blowing impact on magneto-hydrodynamic mixed convection flow of Williamson fluid through stretching porous wedge with viscous dissipation and internal heat generation/absorption
Abstract
This research investigates the suction/blowing influence on mixed convective MHD Williamson fluid flow over-stretching porous wedge where viscous dissipation and internal heat absorption/generation are present. Similarity variables are employed to transform the governing partial differential equations (PDEs) to nonlinear ordinary differential equations (ODEs) which are then solved numerically using the bvp4c package in MATLAB. The boundary layers lateral to the stretching wedge are examined and discussed with the help of diagrams and tables. It is observed that an increase in the non-dimensional parameter, ξ, improves the velocity and temperature, whereas the intensification in the mixed convection parameter λ, porosity (R), and magnetic parameter (M) lowers the temperature profile. The increased values of M cause the velocity to increase at R = 0.2 whereas the decline in the velocity value is noted at R = 2.2. However, the temperature decreases at both the values of R. Increasing heat generation/absorption (Q) leads to an increase in the Nusselt number with the decline in the skin friction coefficient. When Q is raised at R = 1.5, the magnitude of skin friction rises with a decreEase in the temperature gradient. Increasing ξ at R ≷ 1 results in the decline of the skin friction coefficient and an increase in the Nusselt number. At R = 1.5, the quantitative values of (We = 0.1, 0.2, 0.3) temperature gradient decreases but velocity gradient increases but at R = 0.4, |−θ′(0)| enhances, also |f″(0)| upsurges. At quantitative values of (ξ=0.1,0.2,0.3) , |−θ′(0)| increases for both R = 1.5 or 0.4 but |f″(0)| declines at both the values of R. The quantitative values of (Q = 0.1, −1.1 at R = 1.5) decreases |−θ′(0)| but increases |f″(0)|. However, at R = 0.4 we noticed opposite behaviour of both velocity and temperature gradient as detected from Table2. Similarly the effects of quantitative values of (Ec = 0.1, 0.2, 0.3, Pr = 0.3, 0.4, Nr = 0.3, 0.4) on |−θ′(0)| are given in Table 3.
