MHD Maxwell fluid flow in presence of nano-particle through a vertical porous-plate with heat-generation, radiation absorption and chemical reaction

Present study concerns with the numerical investigation of MHD transient naturally convective and higher order chemically reactive Maxwell fluid with Nano-particle flow through a vertical porous plate with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form are transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) is 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 stab ility and convergence analysis (SCA) are carried out. It is observed that with initial boundary conditions, U =V =T = C= 0 and for Δτ = 0.005, ΔX = 0.20 and ΔY = 0.25, the system converged at Prandtl number, P_r ≥ 0.209 and Lewis number, L_e ≥ 0.16. The velocity, temperature and concentration flow are investigated and shown graphically with the effect of system parameters. Furthermore, the effect of system parameters on skin friction coefficient, C_f, Nusselt number, N_u, and Sherwood number, S_h, are also examined and tabularized.