Influence Of Slip Condition Research Articles

Rheological Model for Generalized Energy and Mass Transfer through Hybrid Nanofluid Flow Comprised of Magnetized Cobalt Ferrite Nanoparticles

The goal of the current research is to evaluate a 3D stagnation point flow of Darcy Forchheimer’s hybrid nanofluid (NF) through a heated wavy flexible cylinder under the influence of slip conditions and varying thickness. A numerical model is developed for the purpose to magnify the energy and mass transmission rate and maximize the efficiency and performance of thermal energy conduction for a variety of commercial and biological purposes through methanol‐based hybrid NF flow consisting of cobalt ferrite and copper nanoparticles. Due to their inclusive range of applications, copper and cobalt iron oxide nanoparticles are gaining a lot of attention in medical and technical research. The model has been articulated in the form of a set of PDEs, which are reduced by the resemblance substitutions to the system of ODEs. The obtained 1st‐order differential equations are further processed by the computational strategy PCM. For the sake of accuracy and credibility, the values are verified with the bvp4c package. The findings are physically exhibited and analyzed. It has been observed that the induced magnetic field lessens with the upshot of the magnetic term and enhances under the action of magnetic Prandtl number M. The energy profile declines due to the variation of thermal jump constraint and boosts with the absorption and generation term.

Influence of slip condition on transient laminar flow over an infinite vertical plate with ramped temperature in the presence of chemical reaction and thermal radiation

AbstractAn analysis was made using the numerical approach of a transient laminar slip flow over an infinite vertical plate with ramped and constant temperatures in which chemical reaction is involved and thermal radiation had to be considered. Slip conditions have caused much concern because of their broad applicability in industry and chemical engineering. By following the finite element technique, the equation of momentum together with the equations of energy and species was numerically solved. The expressions for skin friction, Nusselt number, and Sherwood number are also derived. The variations in fluid velocity, fluid temperature, and species concentration are displayed graphically whereas numerical values of skin friction, Nusselt number, and Sherwood number are presented in tabular form for various values of the pertinent flow parameters. The findings indicate that the radiation has a noticeable impact to a minor intensity of R and is more apparent in the constant condition than in the ramped condition. Radiation and buoyancy effects produce a strong flow near the plate, which is accelerated by slip. Finally, it is shown logically and mathematically that when two buoyancies are opposite and equal in magnitude with equal solutal and thermal diffusions, the flow should be taken as stationary flow in the absence of radiation and the presence/absence of slip.

Unsteady Stokes Flow through Porous Channel with Periodic Suction and Injection with Slip Conditions

This work is concerned with the influence of slip conditions on unsteady stokes flow between parallel porous plates with periodic suction and injection. The obtained unsteady governing equations are solved analytically by similarity method. The characteristics of complex axial velocity and complex radial velocity for different values of parameters are analyzed. Graphical results for slip parameter reveal that it has significant influence on the axial and radial velocity profiles. The effects of suction or injection are also observed. The problem of unsteady stokes flow through porous plates with no slip is recovered as a special case of our problem.

Finite element analysis of effects of Joule heating, electro-osmosis and slip conditions on the performance of magnetohydrodynamic (MHD) micropumps

Magnetohydrodynamic (MHD) micropump which is energy saving and less pollution has been widely investigated by researchers in recent years. Based on the finite element analysis (FEA) of numerical model of 3D MHD micropump, we investigated the comprehensive effects of Joule heating, electro-osmosis and slip condition at walls on flow performance. This paper presents a new method for solving the full 3D MHD equations by coupling multi-physics fields, and gives a more comprehensive analysis of fundamental principles of MHD micropump. The temperature distribution under different flow channel geometries, the electro-osmotic velocity in MHD micropump, and the influence of slip condition at walls on flow velocity are analyzed in detail. The flow velocity slightly increases when taking the effect of Joule heating into account. In addition, the flow velocity is hardly affected by electron-osmosis in this work. It should be pointed out that the mean temperature of MHD micropump decreases with driven voltage increasing. With the advantage of fast and accurate analysis of MHD micropump performance, this study holds promising potential for the optimal design and fundamental research of MHD micropump.

Magnetohydrodynamic squeezing flow analysis of nanofluid under the effect of slip boundary conditions using variation of parameter method

In this paper, two-dimensional squeezing flow of nanofluid under the effects of a uniform transverse magnetic field and slip boundary conditions is analyzed using variation of parameter method. The approximate analytical solutions of the variation of parameter method show excellent agreement and accuracy with the solutions of numerical method using shooting method coupled with Runge–Kutta coupled. Therefore, the developed analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow of nanofluid. From the results, it is observed that the velocity of the fluid increases with increase in the magnetic field parameter under the influence of slip condition while under no-slip condition, the velocity of the fluid decreases with increase in the magnetic field parameter. Also, the fluid velocity increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynolds number under the no-slip condition. It is hoped that this study will enhance the understanding of squeezing flow process such as found in various biological and industrial applications.

Squeezing Flow Analysis of Nanofluid Under the Effects of Magnetic Field and Slip Boundary Conditions Using Chebychev Spectral Collocation Method

In this work, analysis of two-dimensional squeezing flow of a nanofluid under the influences of a uniform transverse magnetic field and slip boundary conditions is carried out using Chebychev spectral collocation method. The analytical solutions are used to investigate the effects of fluid properties, magnetic field and slip parameters on the squeezing flow. It is revealed from the results that the velocity of the fluid increases with increase in the magnetic parameter under the influence of slip condition while an opposite trend is recorded during no-slip condition. Also, the velocity of the fluid increases as the slip parameter increases but it decreases with increase in the magnetic field parameter and Reynold number under the no-slip condition. The results of the Chebychev spectral collocation method are in excellent agreement with the results of the convectional numerical method using Runge-Kutta coupled with shooting method. The findings in this work can be used to further study the squeezing flow in applications such as power transmission, polymer processing and hydraulic lifts.

Influence of Slip Condition on Unsteady Pulsatile Flow through a Porous Medium in a Circular Pipe

Influence of Slip Condition on Unsteady Pulsatile Flow through a Porous Medium in a Circular Pipe

Study of peristaltic flow of magnetohydrodynamics Walter's B fluid with slip and heat transfer

The purpose of this paper is to investigate the effects of magnetohydrodynamics peristaltic flow of Walter's B fluid in an inclined asymmetric channel under the influence of slip conditions. The effects of heat and mass transfer are also taken into account. Analytical solutions of nonlinear coupled equations are obtained by regular perturbation method. Graphs for different flow parameters of interest are sketched and analyzed. It is observed that the absolute value of shear stress and heat transfer coefficient decreases by increasing the magnetic parameter whereas with the increase of magnetic parameter, the concentration decreases. Opposite behavior has been noted for temperature and heat transfer coefficient at upper and lower walls against the various values of Prandtl number, Eckert number, slip parameter and material constant of Walter's B fluid. Oscillatory behavior of heat transfer coefficient is observed which is due to propagation of peristaltic waves along the walls of the channel.

Influence of Slip Condition on Unsteady Free Convection Flow of Viscous Fluid with Ramped Wall Temperature

The objective of this study is to explore the influence of wall slip condition on a free convection flow of an incompressible viscous fluid with heat transfer and ramped wall temperature. Exact solution of the problem is obtained by using Laplace transform technique. Graphical results to see the effects of Prandtl number Pr, timet, and slip parameterηon velocity and skin friction for the case of ramped and constant temperature of the plate are provided and discussed.

Influence of slip condition and heat transfer on MHD pulsatile flow of third order fluid in an asymmetric channel

Simultaneous effects of slip and heat transfer on peristaltic transport of magnetohydrodynamic third order fluid in an asymmetric channel is studied under the assumptions of long wavelength and low Reynolds number. The asymmetry is considered by choosing the peristaltic wave motion on the walls to have different amplitudes and phase.

Slip effects on heat transfer and peristaltic pumping of a Johnson–Segalman fluid in an inclined asymmetric channel

This paper looks at the influence of slip conditions on heat transfer and the peristaltic flow of a Johnson–Segalman fluid in an inclined asymmetric channel under the supposition of long wave length. The asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Both analytical and numerical solutions are presented. The analysis for the analytical solution is carried out for small Weissenberg number. The closed-form solutions have been obtained for the stream function, axial velocity, longitudinal pressure gradient and temperature. Numerical calculations are carried out for the pressure rise. The features of the flow and heat transfer characteristics are analysed by plotting graphs for different values of emerging parameters and discussed in detail. Open image in new window

Exact solutions in generalized Oldroyd-B fluid

This investigation deals with the influence of slip condition on the magnetohydrodynamic (MHD) and rotating flow of a generalized Oldroyd-B (G. Oldroyd-B) fluid occupying a porous space. Fractional calculus approach is used in the mathematical modeling. Three illustrative examples induced by plate oscillations and periodic pressure gradient are considered, and the exact solutions in each case are derived. Comparison is provided between the results of slip and no-slip conditions. The influence of slip is highlighted on the velocity profile by displaying graphs.

Influence of slip condition on peristaltic transport of a viscoelastic fluid with fractional Burger’s model

The investigation is to explore the transportation of a viscoelastic fluid with fractional Burgers? model by peristalsis through a channel under the influence of wall slip condition. This analysis has been carried out under the assumption of long wavelength and low Reynolds number. An approximate analytical solution of the problem is obtained by using Homotopy Analysis method (HAM). It is assumed that the cross-section of the channel varies sinusoidally along the length of channel. The expressions for axial velocity, volume flow rate and pressure gradient are obtained. The effects of fractional parameters ? and ?, material constants ?1,?2,?3, slip parameter k and amplitude ? on the pressure difference and friction force across one wavelength are discussed numerically and with the help of illustrations.

Influence of slip condition on the peristaltic transport in an asymmetric channel with heat transfer: An exact solution

The mechanism of peristaltic magnetohydrodynamic (MHD) flow based on slip and heat transfer effects is studied in an asymmetric channel. An incompressible viscous fluid fills the porous space inside the channel. Long wavelength and zero Reynolds number approximation are used in the flow modeling. Expressions of stream function, longitudinal pressure gradient, and temperature are developed. Various interesting phenomena associated with peristalsis, such as pumping and trapping, are discussed in detail. Further the effects of various pertinent parameters on temperature field and heat transfer coefficient are explained with the help of graphs and tables. It is found that pressure rise over one wavelength decreases in pumping region for large values of slip parameter. Similar behavior is observed for temperature field by increasing the slip parameter. However, the volume of trapped bolus decreases by increasing the slip parameter. Copyright © 2010 John Wiley & Sons, Ltd.

Influence of slip condition on peristaltic transport of a viscoelastic fluid with fractional Burger’s model

The investigation is to explore the transportation of a viscoelastic fluid with fractional Burgers’ model by peristalsis through a channel under the influence of wall slip condition. This analysis has been carried out under the assumption of long wavelength and low Reynolds number. An approximate analytical solution of the problem is obtained by using Homotopy Analysis method (HAM). It is assumed that the cross-section of the channel varies sinusoidally along the length of channel. The expressions for axial velocity, volume flow rate and pressure gradient are obtained. The effects of fractional parameters α and β, material constants λ1,λ2,λ3, slip parameter k and amplitude φ on the pressure difference and friction force across one wavelength are discussed numerically and with the help of illustrations.

The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport

The effects of both wall slip conditions and heat transfer on peristaltic flow of MHD Newtonian fluid in a porous channel with elastic wall properties have been studied under the assumptions of long-wavelength and low-Reynolds number. The analytical solution has been derived for the stream function and temperature. The results for velocity, temperature, stream function and heat transfer coefficient obtained in the analysis have been evaluated numerically and discussed briefly. The numerical result shows that more trapped bolus appears with increasing Knudsen number.

The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method

This paper provides an investigation regarding slip effects on thin film flow of a fourth grade fluid down a vertical cylinder. The nonlinear problem that arises is solved for both exact and HAM (homotopy analysis method) solutions. Exact and HAM solutions are also compared. Finally we briefly describe the flow characteristics to include the effects of emerging parameters.