Effects Of Partial Slip Research Articles

MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation

An analysis has been carried out for the three dimensional flow of viscous nanofluid in the presence of partial slip and thermal radiation effects. The flow is induced by a permeable stretching surface. Water is treated as a base fluid and alumina as a nanoparticle. Fluid is electrically conducting in the presence of applied magnetic field. Entire different concept of nonlinear thermal radiation is utilized in the heat transfer process. Different from the previous literature, the nonlinear system for temperature distribution is solved and analyzed. Appropriate transformations reduce the nonlinear partial differential system to ordinary differential system. Convergent series solutions are computed for the velocity and temperature. Effects of different parameters on the velocity, temperature, skin friction coefficient and Nusselt number are computed and examined. It is concluded that heat transfer rate increases when temperature and radiation parameters are increased.

Simultaneous effects of slip and wall properties on MHD peristaltic motion of nanofluid with Joule heating

This paper is devoted to the magnetohydrodynamic (MHD) peristaltic transport of nanofluid in a channel with wall properties. Flow analysis is addressed in the presence of viscous dissipation, partial slip and Joule heating effects. Mathematical modelling also includes the salient features of Brownian motion and thermophoresis. Both analytic and numerical solutions are provided. Comparison between the solutions is shown in a very good agreement. Attention is focused to the Brownian motion parameter, thermophoresis parameter, Hartman number, Eckert number and Prandtl number. Influences of various parameters on skin friction coefficient, Nusselt and Sherwood numbers are also investigated. It is found that both the temperature and nanoparticles concentration are increasing functions of Brownian motion and thermophoresis parameters.

Magnetohydrodynamic (MHD) flow of Cu-water nanofluid due to a rotating disk with partial slip

This paper investigates MHD steady flow of viscous nanofluid due to a rotating disk. Water is treated as a base fluid and copper as nanoparticle. Nanofluid fills the porous medium. Effects of partial slip, viscous dissipation and thermal radiation are also considered. Similarity transformations reduce the nonlinear partial differential equations to ordinary differential equations. Flow and heat transfer characteristics are computed by HAM solutions. Also computations for skin friction coefficient and Nusselt number are presented and examined for pertinent parameters. It is noted that higher velocity slip parameter decreases the radial and azimuthal velocities while temperature decreases for larger values of the thermal slip parameter. Also the rate of heat transfer enhances when the nanoparticle volume fraction increases.

Simultaneous effects of MHD and partial slip on peristaltic flow of Jeffery fluid in a rectangular duct

The purpose of this paper is to study the closed-form solutions of peristaltic flow of Jeffery fluid under the simultaneous effects of magnetohydrodynamics (MHD) and partial slip conditions in a rectangular duct. The influence of wave train propagation is also taken into account. The analysis of mathematical model consists of continuity and the momentum equations are carried out under long wavelength (0<<→∞) and low Reynolds number (Re→0) assumptions. The governing equations are first reduced to the dimensionless system of partial differential equation using the appropriate variables and afterwards exact solutions are obtained by applying the method of separation of variables. The role of pertinent parameters such as Hartmann number M, slip parameter β1, volumetric flow rate Q, Jeffery parameter λ1 and the aspect ratio β against the velocity profile, pressure gradient and pressure rise is illustrated graphically. The streamlines have also been presented to discuss the trapping bolus discipline. Comparison with the existing studies is made as a limiting case of the considered problem.at the end.

Effects of Partial Slip on Chemically Reactive Solute Distribution in MHD Boundary Layer Stagnation Point Flow Past a Stretching Permeable Sheet

Abstract This paper presents the magnetohydrodynamic (MHD) boundary layer stagnation point flow with diffusion of chemically reactive species undergoing first-order chemical reaction over a permeable stretching sheet in presence of partial slip. With the help of similarity transformations, the partial differential equations corresponding to momentum and the concentration equations are transformed into non-linear ordinary differential equations. Numerical solutions of these equations are obtained by shooting method. It is found that the horizontal velocity increases with the increasing value of the ratio of the free stream velocity and the stretching velocity. Velocity decreases with the increasing magnetic parameter when the free-stream velocity is less than the stretching velocity but the opposite behavior is noted when the free-stream velocity is greater than the stretching velocity. Due to suction, fluid velocity decreases at a particular point of the surface. With increasing velocity slip parameter, velocity increases when the free-stream velocity is greater than the stretching velocity. But the concentration decreases in this case. Concentration decreases with increasing mass slip parameter.

Effects of partial slip on the peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel

Effects of partial slip on the peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel

Partial slip effect on non-aligned stagnation point nanofluid over a stretching convective surface

The present study inspects the non-aligned stagnation point nano fluid over a convective surface in the presence of partial slip.Two types of base fluids namely water and kerosene are selected with Cu nanoparticles. The governing physical problem is presented and transformed into a system of coupled nonlinear differential equations using suitable similarity transformations. These equations are then solved numerically using midpoint integration scheme along with Richardson extrapolation via Maple. Impact of relevant physical parameters on the dimensionless velocity and temperature profiles are portrayed through graphs. Physical quantities such as local skin frictions co-efficient and Nusselt numbers are tabularized. It is detected from numerical computations that kerosene-based nano fluids have better heat transfer capability compared with water-based nanofluids. Moreover it is found that water-based nanofluids offer less resistance in terms of skin friction than kerosene-based fluid. In order to authenticate our present study, the calculated results are compared with the prevailing literature and a considerable agreement is perceived for the limiting case.

MHD Stagnation Point Flow of a Nanofluid with Velocity Slip, Non-linear Radiation and Newtonian Heating

The flow of a viscous, incompressiable and electrically conducting nanofluid flow over a stretching sheet under the influence of a transverse magnetic field is investigated taking in to account the effect of non-linear thermal radiation, newtonian heating and partial velocity slip. The nanofluid model considered in the paper incorporates the effect of Brownian motion and thermophoresis. The governing equations, in similarity form, are solved using Matlab's in-built boundary value problem solver “bvp4c”. The nanofluid flow model discussed in the present paper has significant applications in fluid engineering devices where the boundary surface is subjected to convecting heating and the temperature difference between the ambient fluid and the surface is large.

Combined effects of magnetic field and partial slip on obliquely striking rheological fluid over a stretching surface

This study explores the collective effects of partial slip and transverse magnetic field on an oblique stagnation point flow of a rheological fluid. The prevailing momentum equations are designed by manipulating Casson fluid model. By applying the suitable similarity transformations, the governing system of equations is being transformed into coupled nonlinear ordinary differential equations. The resulting system is handled numerically through midpoint integration scheme together with Richardson's extrapolation. It is found that both normal and tangential velocity profiles decreases with an increase in magnetic field as well as slip parameter. Streamlines pattern are presented to study the actual impact of slip mechanism and magnetic field on the oblique flow. A suitable comparison with the previous literature is also provided to confirm the accuracy of present results for the limiting case.

Partial Slip Effects on a Rotating Flow of Two Phase Nano Fluid Over a Stretching Surface

Partial Slip Effects on a Rotating Flow of Two Phase Nano Fluid Over a Stretching Surface

Modeling of a creep process between rough surfaces under tangential loading

If two bodies with rough surfaces are brought into contact and an increasing tangential load is applied, there will be some relative tangential displacement of the bodies due to the contact stiffness and partial slip in the contact area. The sliding areas will increase with increasing load until the condition of complete sliding is fulfilled and macroscopic sliding starts. In this paper it is suggested that an essential part of the slow creep observed in many contact problems is due to this combined effect of elasticity and partial slip. To prove this hypothesis, tangential creep in contact of rough surfaces is simulated using the assumption of a constant coefficient of friction. The results of the simulation are compared with high resolution experimental measurements of creep between steel samples. In the most cases, the surface parameters can be adjusted to achieve a good description of the experimental data.

Effect of partial slip on hydromagnetic flow over a porous stretching sheet with non-uniform heat source/sink, thermal radiation and wall mass transfer

In this work, we have investigated the effect of partial slip on hydromagnetic boundary layer flow in porous medium over a stretching surface with space and temperature dependent internal heat generation/absorption, thermal radiation and wall mass transfer (suction/blowing). The basic boundary layer equations for momentum and heat transfer, which are non-linear partial differential equations are converted into non-linear ordinary differential equations by means of similarity transformations. The dimensionless governing equations for this investigation are solved analytically using hypergeometric functions. The results are carried out for prescribed surface temperature (PST) and prescribed power law surface heat flux (PHF). The effect of partial slip parameter with magnetic parameter, porosity parameter, wall mass transfer parameter (suction/blowing), space and temperature dependent internal heat generation/absorption parameter, Prandtl number and radiation parameter on velocity and temperature distributions are depicted graphically and are analyzed in detail.

Significance of Nanofluid and Partial Slip on the Peristaltic Transport of a Non-Newtonian Fluid with Different Wave Forms

In this study, we present the new investigations on the combined effect of partial slip and nanofluid on the peristaltic transport of a Jeffrey fluid model in an asymmetric channel. Mathematical formulation of the present problem is first given and then simplified under the conjecture of long wave length and low Reynolds number approximation. The homotopy perturbation technique is used to calculate the solution of the coupled nonlinear equations of temperature and nanoparticle volume fraction. The exact solution of the momentum equation is calculated using the solutions of temperature and nanoparticle volume fraction. In the end, the graphical results of the proposed problem are discussed to study the behavior of the emerging parameters.

Analysis of Two-Layered Film Journal Bearing with Partial Slip Surface

Based on the approach of two-layered film consisting of different Newtonian viscosities, the present study examines the effects of partial slip bearing configuration on load capacity and friction coefficient for journal bearing. Navier slip boundary conditions are used to analyze partial slip configuration. A modified Reynolds equation for a journal bearing with two-layered film on a partial slip surface is presented. The modified Reynolds equation is derived taking into consideration of magnitude of lubricant layers film thickness, viscosities and the extent of partial slip on the bearing surface. The Reynolds boundary conditions are used in the analysis to predict nondimensional load capacity and coefficient of friction. Partial slip of bearing surfaces has a potential to improve load carrying capacity and reduce coefficient of friction for two-layered film journal bearing.

A Study on Numerical Solutions for Rotating Flows of a Third Grade Fluid with Partial Slip Conditions

In this paper rotating flow of a third grade fluid past a porous plate with partial slip is studied .The nonlinear boundary value problem is solved using finite difference method. The variations of velocity components for various values of partial parameter �� 1are discussed the results are reported for conclusion. Keyword: third grade fluid, partial slip parameter, finite difference method, non - Newtonian fluid. I. Introduction Materials such as polymer solutions or melts, drilling mud, clastomers, certain oils and greases and many other emulsions are classified as non-Newtonian fluids. Due to complexity of fluids, there are many models describing the properties, but not all of non-Newtonian fluids. These models, however, cannot predict all the behaviours of non-Newtonian fluids, for example, normal stress differences, shear thinning or shear thickening, shear relaxation, elastic and memory effects etc. The pioneers of the field such as Coulomb, Navier, Girad, Poisson, Stokes, St. Venant and others recognised that boundary conditions are constitutive equations that should be determined by the material on either side of the boundary. The usual prescription of Dirichlet and Neumann conditions are often unsuitable for a realistic physical problem, for example the flow of polymers that stick-slip on the boundary. Recently non-standard boundary conditions have been considered from a rigorous mathematical perspective by Rao and Rajagopal. The earliest work S.Asgar,M.Mudassar Gulzar, M.Ayub (2006) are derived an analytical study of the rotating flow of a third grade fluid past a porous plate with partial slip effects. It serves as a flow model for the study of polymers. The analytic solution has been determined using homotopy analysis method (HAM). The work is extended to examine the effects of partial slip on the rotating flow past a uniformly porous plate. The fluid is incompressible and third grade .The numerical solution has been obtained using Finite difference method and finally focused on the effects of suction, blowing, third grade and slip parameter. II. A Study on rotating flow of a third grade fluid Consider the Cartesian coordinate system rotating uniformly with an angular velocity ٠about the z- axis ,taken positive in the vertically upward direction and the plate coinciding with the plane ��= 0 . The fluid flowing past a porous plate is third grade and incompressible .All the material parameters of the fluid are assumed to be constants . For the rotating frame, the equation of momentum

Effect of Slip on Peristaltic Flow of Powell-Eyring Fluid in a Symmetric Channel

Peristaltic flow of non-Newtonian fluid in a symmetric channel with partial slip effect is examined. The non-Newtonian behavior of fluid is characterized by the constitutive equations of Powell-Eyring fluid. The motion is induced by a sinusoidal wave traveling along the flexible walls of channel. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The equations governing the flow are solved by adopting lubrication approach. Series solutions for the stream function and axial pressure gradient are obtained. Impact of slip and other emerging flow parameters is plotted and analyzed graphically.

Effect of Slip on Peristaltic Flow of Powell-Eyring Fluid in a Symmetric Channel

Peristaltic flow of non-Newtonian fluid in a symmetric channel with partial slip effect is examined. The non-Newtonian behavior of fluid is characterized by the constitutive equations of Powell-Eyring fluid. The motion is induced by a sinusoidal wave traveling along the flexible walls of channel. The flow is analyzed in a wave frame of reference moving with the velocity of wave. The equations governing the flow are solved by adopting lubrication approach. Series solutions for the stream function and axial pressure gradient are obtained. Impact of slip and other emerging flow parameters is plotted and analyzed graphically.

Effects of partial slip on chemically reactive solute transfer in the boundary layer flow over an exponentially stretching sheet with suction/blowing

The boundary layer flow and mass transfer toward an exponentially stretching porous sheet are analyzed in this paper. Velocity slip is considered instead of the no-slip condition on the boundary. Self-similar equations are obtained by using similarity transformations. Numerical solutions of these equations are obtained by the shooting method. It is found that the fluid velocity and concentration decrease with increasing slip parameter. The fluid velocity decreases with increasing suction parameter.

Nanofluid flow over a shrinking sheet with surface slip

In the present study, the effects of partial slip on mixed convection stagnation point flow and heat transfer of nanofluid impinging normally toward a shrinking sheet are investigated numerically. In particular, focus is on Cu–water and Al2O3–water nanofluids. Similarity transformation technique is adopted to obtain the self-similar ordinary differential equations and then solved numerically using Runge–Kutta–Fehlberg method with shooting technique. A parametric study is performed to explore the effects of various governing parameters on the fluid flow and heat transfer characteristics. Both the cases of assisting and opposing flows are considered. The physical aspects of the problem are highlighted and discussed.

Theoretical Estimation of Shear Rate during the Oral Phase of Swallowing: Effect of Partial Slip

AbstractThe goal of this study was to quantify the shear rate in a simplified model of the oral cavity during bolus ejection. Parallel plate squeezing flow was used to approximate the action of the tongue against the palate as a bolus is ejected from the mouth and into the pharynx during a swallow. The current work quantified variations in shear rate with respect to two main effects – the relative degree of boundary slip for Newtonian boluses of varying viscosity. The results suggest that a single shear rate that describes oropharyngeal swallowing is a too simplistic concept. Rather variation in bolus viscosity, level of lubrication as well as others may have a strong effect on shear rate.Practical ApplicationsMathematical modeling of oropharyngeal swallowing has the potential to play an important role in understanding the underlying mechanics of normal and abnormal swallowing, as well as in guiding the development and optimization of therapeutic strategies for swallowing disorders. The long‐term objective of this research is to develop a robust methodology for prediction of bolus flow characteristics in response to motions of the oropharyngeal structures, such as the tongue and pharyngeal walls. In addition to furthering our understanding of the normal swallow, such models could probe the physical basis of biomechanical treatment strategies, such as postural changes (e.g., chin‐tuck) or dietary medications (commonly referred to as “thickened liquids”), as well as optimizing such strategies or suggesting new strategies altogether.