Impacts of magnetic field and radiation absorption on mixed convective Jeffrey nano fluid flow over a vertical stretching sheet with stability and convergence analysis

Unsteady magnetohydrodynamic (MHD) mixed convective and thermally radiative Jeffrey fluid with nano particle flow through a vertical stretching sheet with radiation absorption and heat source has been studied. A flow model is established by employing the well-known boundary layer approximations. The governing model equations in partial differential equations (PDEs) form were transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit finite difference method (EFDM) was employed by implementing an algorithm in Compaq Visual Fortran 6.6a to solve the obtained set of nonlinear coupled ODEs. For optimizing the system parameter and accuracy of the system, the stability and convergence analysis (SCA) was carried out. It was observed that with initial boundary conditions, U = V = T = C = 0 and for Δτ = 0.005, ΔX = 0.50 and ΔY = 0.25, the system converged at Prandtl number, P_r ≥ 0.246 and Lewis number, L_e ≥ 0.16. The velocity, temperature and concentration flow are investigated and shown graphically with the effect of system parameters such as Grashof number (G_r), modified Grashof number (G_c), magnetic parameter (M), Prandtl number (P_r), thermal radiation (R), heat source (Q), radiation absorption (Q₁), Eckert number (E_c), Deborah number (β), Brownian parameter (N_b), thermophoresis parameter (N_t) and Lewis number (L_e). Furthermore, the effect of system parameters on skin friction coefficient (C_f), Nusselt number (N_u) and Sherwood number (S_h) is also examined and tabularized. The present numerical approach is compared with the previous studies and a good approximation is obtained.