Influence of magnetic field and heat and mass transfer on the peristaltic flow through a porous rotating medium with compliant walls

Abstract

Purpose The purpose of this paper is to predict the effects of magnetic field, heat and mass transfer and rotation on the peristaltic flow of an incompressible Newtonian fluid in a channel with compliant walls. The whole system is in a rotating frame of reference. Design/methodology/approach The governing equations of two-dimensional fluid have been simplified under long wavelength and low Reynolds number approximation. The solutions are carried out for the stream function, temperature, concentration field, velocity and heat transfer coefficient. Findings The results indicate that the effects of permeability, magnetic field and rotation are very pronounced in the phenomena. Impacts of various involved parameters appearing in the solutions are carefully analyzed. Originality/value The effect of the concentration distribution, heat and mass transfer and rotation on the wave frame is analyzed theoretically and computed numerically. Numerical results are given and illustrated graphically in each case considered. A comparison was made with the results obtained in the presence and absence of rotation, magnetic field and heat and mass transfer.

Peristaltic transport characteristics of a second-grade dusty fluid flown with heat transfer through a tube revisited

“…Following the perturbation procedure to introduce the physical properties ψ, φ, θ , F, F s and p as a mathematically power series with small perturbation parameter δ we then substitute into the governing Eqs. (30)(31)(32)(33)(34) to obtain three sets of equations and boundary conditions (35)(36)(37)(38) resulting from collecting the similar power terms δ and δ 2 which are sufficient for computing the solution. The Eqs.…”

“…In addition 31 , examined the effects of velocity slip on the magnetohydrodynamic (MHD) peristaltic transport of fluid through a porous media in the presence of both heat and mass transfer. Meanwhile 32 , determined the influence of rotating medium with compliant walls on the MHD fluid’s peristaltic transport. The dependence of temperatures on the peristaltic transport characteristics of a MHD fluid’s flowing through an asymmetric channel was analyzed 33 .…”

Peristaltic transport characteristics of a second-grade dusty fluid flown in a tube revisited: Role of heat transfer

“…Meanwhile, [31] determined the influence of rotating medium with compliant walls on the MHD fluid's peristaltic transport. The dependence of temperatures on the peristaltic transport characteristics of a MHD fluid's flowing through an asymmetric channel was analyzed [32].…”

Design and testing of varying magnetic field effect in a pulsatility blood flow of viscoelastic material: Flexibility analysis in a curved channel

“…Heat and mass transfer analyses have been incorporated by Eldabe and Abouzeid 50 in a fluid flow between two coaxial tubes. Carrying forward HMT, Abd‐Alla and colleagues 51 combine the porous medium with wall properties. However, Bhatti and group 52 explored the nanofluid aspect with gyrotactic microorganisms.…”