Perturbation based analytical solutions of non-Newtonian differential equation with heat and mass transportation between horizontal permeable channel

A mathematical model is constructed in this investigation to examine the effects of heat and mass transfer in tangent-hyperbolic fluid bounded within horizontal channel. The lower-wall of channel is taken as heated. The dimensional momentum, energy and concentration equations are determined by defining a stress-tensor of undertaken fluid (Tangent-hyperbolic fluid). To calculate the solution, the system of dimensional equations is transformed into nondimensional system by using normalized variables and then solved by applying perturbation technique. The impacts of several dimensionless parameters that is, power-law index parameter (Formula presented.), pressure gradient parameter (Formula presented.), Reynolds number (Re), time constant parameter (Γ), Peclet number (λ₄), viscous heating parameter (λ₅), Schmidt number (S_c), thermophoresis parameter (N_T), and Brownian motion (N_B) parameter are sketched and also physically discussed. The results reveal that power-law index parameter and pressure gradient cause increment in velocity and temperature fields and decrement in concentration field. Further, the variations in skin-friction coefficient, Nusselt number and Sherwood number via emerging parameters are also expressed in form of table in this exploration.