Nomenclature a-absorption or extinction coefficient of fluid, m-1 ; B-magnetic field, tesla; B 0-magnetic rate, positive constant; Br-Brinkman number (= μu w (x) 2 /ΔTk); C(ε)-porous medium inertia coefficient, m-1 ; C f-Skin friction coefficient (=-(2(m+1)/Re x) 0.5 f ηη (0)); C p-specific heat at constant pressure, J/(kgK); d p-particle diameter, m; D p-geometric parameter of porous medium; Ec-Eckert number (= u w (x) 2 /C p (T w-T ∞)); f-dimensionless velocity variable (= Ψ(x,y)(Re x) 0.5 /u w (x)); g-gravitational acceleration, m/s 2 ; Gr x-Grashof number (= g(T w-T ∞)β/ν 2); Ha-Hartman number (= B 0 x(σ/μ) 0.5); K(ε)-porous medium permeability, m 2 ; k-thermal conductivity, W/(mK); m-index of power law velocity, positive constant; M-magnetic parameter (= 2σB 0 2 /ρ ∞ b(m+1)); Nu-Nusselt number (=-(0.5(m+1)Re x) 0.5 θ η (0)); N s-Entropy generation number; Pr-Prandtl number (= μC p /k); q rad-radiation flux distribution, W/m 2 ; R-Radiation parameter; Re x-local Reynolds number (= ρu w (x)x/μ); T-temperature, K; u-velocity in x-direction, m/s; v-velocity in y-direction, m/s; x-horizontal coordinate, m; x-vertical coordinate, m; γ-plate inclination angle, degrees; α-thermal diffusivity, m 2 /s; θ-dimensionless temperature variable (= (T-T ∞)/(T w-T ∞)); μ-dynamic viscosity, kg/(ms); υ-kinematic viscosity, m 2 /s; ρ-density, kg/m 3 ; σ-electrical conductivity, mho/s; Ω-dimensionless temperature difference (= ΔT/T ∞ =(T-T w)/T ∞); Ψ-stream function, m 2 /s; ηsimilarity variable (= (y/x)(0.5Re x (m+1)) 0.5); β-thermal expansion coefficient, 1/K.