Suchergebnisse

The goal of this study is to investigate the effects of heat transfer on a non-uniform inclined asymmetrical channel with couple stress fluids via a porous medium using incline magnetohydrodynamics. The governing equation is studied while using low Reynolds approximations and long-wavelength assumptions. Mathematical expressions for (pressure gradient), (temperature), (axial velocity), (heat temperature coefficient), and (stream function). A precise set of values for the various parameters in the present model has been used. The mathematical expressions for axial velocity, stream function, pressure gradient, and pressure rise per wavelength have been derived analytically. "MATHEMATICA" is used to present the computational results in the form of graphs. It has been noticed that both the pressure rise and the pressure gradient decrease with the rise of the inclination magnetic field angle and Darcy number, while as the Grashof number increases, the pressure gradient reduces and the pressure also increases. According to this study, the heat transfer coefficient and temperature rise when the Brinkman number and the Hartman number are up. As the Hartman number and couple stress increase, the incidence of trapped boluses diminishes in size and vanishes in the direction downstream. The bolus size can also be increased by raising the non-uniform channel's Darcy number.

This paper discusses Ree–Eyring fluid's peristaltic transport in a rotating frame and examines the impacts of Magnetohydrodynamics (MHD). The results deal with systematically (analytically) applying each of the governing equations of Ree–Eyring fluid, the axial and secondary velocities, flow rate due to auxiliary stream, and bolus. The effects of some distinctive variables, such as Hartman number, heat source/sink, and amplitude ratio, are taken under consideration and illustrated through graphs.

The purpose of this work is to determine transferred heat features and irreversible transport peristaltic of nanomaterial fluid through a porous medium with an inclined symmetric channel. Expression of the basic velocity, pressure gradient, temperature, and stream function profiles within the boundary layer are plotted and discussed in detail via various values of the distinct parameters. Nanoparticles of hybrid nanomaterial impacts are also used. In the present article, water is used as a base liquid while nanoparticle contain polystyrene and graphene oxide. Over time, it is observed that there are distinct factors and effects such as magnetic field and porosity parameters. Mathematica software is used for estimating the exact solutions of axial velocity and temperature profiles. Additionally, the resolution of equations are considered under the small Reynolds number and large wavelength approximation. Results with plotting graph access via MATHEMATICA (11) are listed.

The purpose behind this paper is to discuss nanoparticles effect, porous media, radiation and heat source/sink parameter on hyperbolic tangent nanofluid of peristaltic flow in a channel type that is asymmetric. Under a long wavelength and the approaches of low Reynolds number, the governing nanofluid equations are first formulated and then simplified. Associated nonlinear differential equations will be obtained after making these approximations. Then the concentration of nanoparticle exact solution, temperature distribution, stream function, and pressure gradient will be calculated. Eventually, the obtained results will be illustrated graphically via MATHEMATICA software.

In this paper, we study the effects of a magnetic force on the flow of hybrid bio - nano fluid (Cu - Au. NPs) for a peristaltic channel through a porous medium in an asymmetric channel. Nanoparticles of gold and copper as well as the blood (the base fluid) is taken into account. By using the Adomian decomposition method to solve the governing equations, formulas for velocity, stream function, temperature, current density, and magnetic force have been obtained. The findings show that Gold nanoparticles have an elevation magnetic force compared with copper nanoparticles, based on fluid (blood) and hybrid nanofluid. Finally, the phenomenon of trapping is offered as an explanation for the physical behavior of many parameters. The effect of physical parameters is plotted and analyzed by using the Mathematica software.

The aim of this paper is to discuss the influence of nanoparticles and porous media, and magnetic field on the peristaltic flow transport of a couple stress fluid in an asymmetric channel with different wave forms of non-Newtonian fluid. Initially, mathematical modeling of the two dimensions and two directional flows of a couple stress fluid with a nanofluid is first given and then simplified beneath hypothesis of the long wave length and the low Reynolds number approximation. After making these approximations, we will obtain associated nonlinear differential equations. Then, the exact solutions of the temperature distribution, nanoparticle concentration, velocity, stream function, and pressure gradient will be calculated. Finally, the results of drawings for many physical parameters that are of importance for examining the behavior of fluid flow quantities are discussed.

A mathematical model was created to study the influences of Hall current and Joule heating with wall slip conditions on peristaltic motion of Rabinowitsch fluid model through a tapered symmetric channel with Permeable Walls. The governing equations are simplified under low Reynolds number and the long-wavelength approximations. The perturbation method is used to solve the momentum equation. The physiological phenomena are studied for a certain set of pertinent parameters. The effects offered here show that the presence of the hall parameter, coefficient of pseudo-plasticity, and Hartman number impact the flow of the fluid model. Additional, study reveals that a height in the Hall parameter and the velocity slip parameter increases the trapping bolus's apparition. Furthermore, the magnitude of the trapped bolus can be reduced by enhancing the magnetic field.

The peristaltic transport of power-law fluid in an elastic tapered tube with variable cross-section induced by dilating peristaltic wave is studied. The exact solution of the expression for axial velocity, radial velocity, stream function, local shear stress, volume of flow rate and pressure gradient are obtained under the assumption of long wavelength and low Reynolds number. The effects of all parameters that appear in the problem are analyzed through graphs. The results showed that the flux is sinusoidal in nature and it is an increasing function with the increase of whereas it is a decreasing function with the increase of . An opposite behavior for shear strain is noticed compared to pressure gradient. Finally, trapping phenomenon is presented to explain the physical behavior of various parameters. It is noted that the size of the trapping bolus increases with increasing whereas it decreases as increases. MATHEMATICA software is used to plot all figures.

This paper is employed to discuss the effects of the magnetic field and heat transfer on the peristaltic flow of Rabinowitsch fluid through a porous medium in the cilia channel. The governing equations (mass, motion, and energy) are formulated and then the assumptions of long wavelength and low Reynold number are used for simplification. The velocity field, pressure gradient, temperature, and streamlines are obtained when the perturbation technique is applied to solve the nonlinear partial differential equations. The study shows that the velocity is decreased with increasing Hartmann number while it is decreased with increasing the porosity.

In this paper, we study the impacts of variable viscosity , heat and mass transfer on magneto hydrodynamic (MHD) peristaltic flow in a asymmetric tapered inclined channel with porous medium . The viscosity is considered as a function of temperature. The slip conditions at the walls were taken into consideration. SmallReynolds number and the long wavelength approximations were used to simplify the governing equations. A comparison between the two velocities in cases of slip and no-slip was plotted. It was observed that the behavior of the velocity differed in the two applied models for some parameters. Mathematica software was used to estimate the exact solutions of temperature and concentration profiles. The resolution of the equations to the momentum was based on the perturbation method to find the axial velocity, pressure gradient and trapping phenomenon. The influences of the various flow parameters of the problem on these distributions were debated and proved graphically by figures.

"This paper presents a study of inclined magnetic field on the unsteady rotating flow of a generalized Maxwell fluid with fractional derivative between two inclined infinite circular cylinders through a porous medium. The analytic solutions for velocity field and shear stress are derived by using the Laplace transform and finite Hankel transform in terms of the generalized G functions. The effect of the physical parameters of the problem on the velocity field is discussed and illustrated graphically.

In this article, we analyses electroosmosis augmented MHD peristaltic transport of SWCNTs suspension in porous media, the basic equations have been constructed under assumptions of low Reynolds number and long wave length. The exact solution by the regular perturbation technique are obtained and the flow qualities have been plotting by using MATHEMATICA software for all the figures. Series solution for stream function, pressure gradient and temperature distribution have been computed in the peristaltic transport in an asymmetric channel

This paper emphasizes on examining the impact of a magnetic field, and porous medium on the non-Newtonian Jeffery nanofluid flows due to metachronal waves induced by ciliated structures that covering the inner walls of the symmetric channel. The governing equations namely continuity, motion, energy and nanoparticles concentration are formulated with suitable boundary conditions and simplified depending on the assumption of long wavelength and low Reynolds number. The simplified equations are solved by using Mathematica program. Further, these analytical solutions for velocity profile, temperature, concentration profiles and streamlines are graphically elucidated and discussed in detail. we concluded that the Hartman number and permeability parameter have opposite effect on the flow characteristics. Moreover, the Jeffery parameter has an increasing impact on the velocity profile whereas the dimensionless eccentricity of ellipse parameter decreases the velocity profile of the fluid.