Ohmically dissipated MHD mixed convective flow of Williamson fluid over a penetrable stretching convective wedge with thermal radiations

Abstract

The main objective of this study is to discuss the radiative mixed convective involving Williamson fluid over shrinking/static/stretching wedge. The convective wedge is considered permeable with the inclusion of suction/injection. Ohmic heating is also taken into account. We used suitable similarity transformation to convert the governing highly nonlinear differential equations into linear differential equations. We also applied the homotopy analysis method (HAM) to find the resulting equations. To validate the findings for the convergence, velocity, temperature, skin friction and Nusselt number are discussed through tables and graphs for various choices of the parameters. The quantitative values of h-curves are as −1.9≤hf≤−0.5,−2.1≤hθ≤−1 as well as for f″(0) and θ′(0) are given in Table 3. The qualitative results are achieved when we increase the order of approximation as observed from convergence in Table 2 and h-curves at 20th order of approximation rather than 15th and 19th order. It is noted that for shrinking/static wedge R=0 or R=−0.2 velocity increases for both assisting/opposing flow λ≤0. However, when R = 2, velocity decreases for opposing flow. Biot number increases velocity and temperature profiles. The velocity profiles increase with the augmented Weissenberg number for stretching/static/shrinking wedge. However, different results are observed for the temperature profiles.Table 2. Convergence analysis of homotopy-Pade approximate solutions for various iteration at We=0.1=R, Pr=0.72, C=0.5,M=1=Nr, m=0.2, Bi=4, Ec=0.3, and λ=0.7, respectively.Display TableTable 3. Computational results of f″(0) and θ′(0) for various choices of We and R when Pr=0.72, C=0.5,M=1=Nr, m=0.2,Bi=4,Ec=0.3, and λ=0.7.Display Table

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