We analysed Soret and Dufour effects on peristaltic flow of magnetohydrodynamic (MHD) non-Newtonian nanofluid in a uniform symmetric channel with wall properties. Moreover, we involved effects of Joule heating, chemical reaction. Furthermore, we considered Brownian motion and thermophoresis. Then, we simplified the governing equations to a system of partial differential equations by applying low Reynolds number and long wavelength approximations and we solved them by using Homotopy Perturbation Method (HPM). We sketched the influence of various parameters on the stream function, velocity, temperature and nanoparticles concentration in graphs and we discussed them physically. Also, we obtained graphs for heat transfer coefficient, skin friction coefficient, Nusselt number and Sherwood number at the upper wall of the channel. Finding revealed that as the wall proprieties parameters E1 and E2 increased the velocity and temperature increased, but the stream function increased and decreased. While, Bingham number Bn had an opposite relative to the wall proprieties parameters E1 and E2.
In this work we investigated the solution of the peristaltic motion of Bingham plastic nanofluid through a vertical symmetric channel. The system is stressed by an external strong magnetic field to produce a hall currents. Moreover, we involved effects of Joule heating, radiation, chemical reaction and couple stresses. Further, we considered Soret and Dufour effects. This phenomenon is represented mathematically by a system of non-linear equations which describe the problem. We used the approximation of low Reynolds number and long-wavelength approximation to simplify the governing equations. Then, we used Homotopy perturbation method (HPM) to solve the equations. We sketched a graph for the influence of various parameters on velocity, temperature and nanoparticles concentration profiles and then discussed them physically. Finding revealed that an increase of Bingham number and the regularization parameter of Bingham fluid decreases the velocity and increases the temperature, but radiation parameter has an opposite relative to them. Also, we found that increasing of chemical reaction parameter reduces the nanoparticles concentration, whereas the reverse is the case when the reaction order is increased.
The theme of this study is to investigate the influence of the chemical reaction and activation energy on MHD peristaltic flow of Jeffery nanofluids in an inclined symmetric channel through a porous medium. Joule heating, radiation, viscous dissipation, heat generation/absorption, activation energy, and thermal diffusion and diffusion thermo effects are involved. The long wavelength and low Reynolds number approximations are used to simplify the non-linear equations that govern the flow. Then, the simplified equations are solved by using the homotopy perturbation method (HPM). We have depicted the velocity, temperature, solute concentration, and nanoparticles volume friction graphically. Physical explanations for the results are provided. The influence of interest parameters on entropy generation is also observed. Numerical results for the heat transfer coefficient, Nusselt number, and Sherwood number are presented. The results revealed that an increase in the value of the ratio of relaxation to retardation times of Jeffery nanofluid enhances the velocity distribution, while a reduction in the solute concentration distribution occurs by increasing the activation energy parameter and the temperature difference parameter . We also discovered that an increase of the chemical reaction parameter increases the temperature profile and decreases the velocity and solute concentration profiles. Furthermore, the velocity becomes lower along the normal axis y and ends up with the minimum value near the upper wall of the channel. Also, the maximum and minimum values of the velocity increase with an increase of the second order slip parameter , while they decrease as Darcy number increases
This study has significant applications in an intra-uterine fluid motion with tiny particles in a non-pregnant uterus, and this situation is vital in inspecting the embryo motion in the uterus. This paper presents the influence of chemical reaction and activation energy on peristaltic flow of MHD hyperbolic tangent nanofluid with heat and mass transfer through a non-Darcy porous medium in an inclined tapered asymmetric channel with different wave forms. Brownian motion, thermophoresis, viscous dissipation, couple stresses, Joule heating, Hall currents, radiation, heat generation/absorption, and thermal diffusion and diffusion thermo effects are involved. The coupled non-linear equations that govern the flow are simplified by using the long wavelength and low Reynolds number approximations. Then, an analytical method called homotopy perturbation method (HPM) have been used to solve the simplified equations. Graphical results are obtained to examine the behaviour of various parameters on the velocity, temperature, and nanoparticle concentration distributions. Graphical representations of heat transfer coefficient, Nusselt number, Sherwood number and entropy generation are sketched. Physical explanations for the results are provided. Findings revealed that Weissenberg number has a dual behaviour on the velocity, temperature, and nanoparticle concentration profiles. The chemical reaction parameter , activation energy parameter , and temperature difference parameter enhances the velocity, temperature, and nanoparticle concentration profiles.
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