Impact of activation energy and variable properties on peristaltic flow through porous wall channel

Abstract

Abstract The current study discusses the peristaltic flow of Jeffrey fluid through a porous wall channel. Magnetohydrodynamic (MHD) effects are also considered while formulating the problem. Heat and mass transfers are discussed in the presence of activation energy and constant heat source/sink effects. A chemical reaction is also part of the analysis. The Lubrication approach is adopted for the simplification of resulting non-linear equations. MATHEMATICA command, NDSolve, is used to discuss the results graphically for various flow parameters like Hartman number $$(M)$$ ( M ) , porosity parameter $$(k)$$ ( k ) , slip parameters ( $$\gamma ,{\gamma }_{1},{\gamma }_{2}$$ γ , γ 1 , γ 2 ), Schmidt $$(Sc)$$ ( S c ) , Soret $$(Sr)$$ ( S r ) and Prandtl $$(Pr)$$ ( P r ) numbers, and many others. Parabolic behavior for velocity and sinusoidal nature for heat transfer and pressure gradient is noticed. Results indicate that the velocity is greatly affected by varying values of slip parameters (γ′s) and Hartman number $$(H)$$ ( H ) . Enhancing the viscoelastic nature of fluid causes an increase in velocity. Similar behavior is noticed for velocity and temperature profiles. The decreasing trend is shown by concentration when the value of the chemical reaction and temperature ratio parameters is enhanced. Thus, the study presented in the current analysis can be used to study many human physiological systems especially, the blood flow. Since Jeffrey's fluid exhibits the same characteristics as observed for blood.