scholarly journals Combined effect of deformation and slip velocity on the performance of a Ferrofluid squeeze film in infinitely long porous rough rectangular plates

10.29007/v873 ◽  
2018 ◽  
Author(s):  
Mukesh Shimpi ◽  
Gunumani M Deheri
Keyword(s):  
Adverse Effect ◽  
Fluid Flow ◽  
Performance Characteristic ◽  
Slip Velocity ◽  
Flow Model ◽  
Type Equation ◽  
Squeeze Film ◽  
Rectangular Plates ◽  
Slip Model ◽  
Slip Coefficient

This investigation aims to study the performance characteristic of a Ferrofluid based squeeze film in infinitely long porous transversely rough rectangular plates considering the effect of deformation and slip velocity. The magnetic fluid flow model of Neuringer and Rosenweig has been used. Beavers – Joseph slip model has been adopted and the stochastic method of Christensen and Tonder has been deployed for roughness. The associated stochastically averaged Reynolds’ type equation is solved. The results prove that the Ferrofluid lubrication offers a limited help in reducing the adverse effect of slip velocity, deformation and porosity, even in the case of negatively skewed roughness. However, the situation improves when variance (- ve) occurs and lower to moderate values of deformation is involved. Aside, this study shows that the slip coefficient has to be at the reduced level an improvement of the bearing performance.

scholarly journals Combined Effect of Slip Velocity and Surface Roughness on a Magnetic Squeeze Film for a Sphere in a Spherical Seat

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
G. M. Deheri ◽  
Sejal J. Patel
Keyword(s):  
Surface Roughness ◽  
Slip Velocity ◽  
Type Equation ◽  
Velocity Slip ◽  
Performance Characteristics ◽  
Squeeze Film ◽  
Load Carrying Capacity ◽  
Slip Model ◽  
Load Carrying ◽  
Effect Of Surface

This investigation analyzes the performance of a magnetic fluid based squeeze film for a sphere in a rough spherical seat with slip velocity. The slip model of Beavers and Joseph has been deployed to study the effect of velocity slip while the stochastic model of Christensen and Tonder has been used to calculate the effect of surface roughness. The concerned statistically averaged Reynolds’ type equation is solved to derive the pressure distribution which results in the calculation of load carrying capacity. The results presented in graphical forms confirm that the adverse effect of slip velocity can be overcome to a large extent at least in the case of negatively skewed roughness. However, lower values of slip may be preferred for enhancing the performance characteristics of the bearing system. Besides, variance (−ve) provides a little support to improve the performance characteristics.

scholarly journals A Comparative Study on the Ferrofluid Flow Models with Regards to the Behavior of A Ferrofluid Based Curved Rough Porous Circular Squeeze Film with Slip Velocity

2018 ◽  
Vol 1 (3) ◽  
Author(s):  
Jimit R Patel1 ◽  
G M Deheri2
Keyword(s):  
Surface Roughness ◽  
Fluid Flow ◽  
Stochastic Model ◽  
Slip Velocity ◽  
Type Equation ◽  
Squeeze Film ◽  
Load Bearing Capacity ◽  
Flow Models ◽  
The Impact ◽  
Bearing System

This investigation plans to introduce a correlation among all the three magnetic fluid flow models (Neuringer-Rosensweig’s model, Shliomis’s model, Jenkins’s model) with regards to the conduct of a ferrofluid based curved rough porous circular squeeze film with slip velocity. The Beavers and Joseph's slip velocity has been invoked to assess the impact of slip velocity. Further, the stochastic model of Christensen and Tonder has been utilized to contemplate the impact of surface roughness. The load bearing capacity of the bearing system is found from the pressure distribution which is derived from the related stochastically averaged Reynolds type equation. The graphical portrayals guarantee that Shliomis model might be favoured for preparation of the bearing system with improved life period. However, for lower to moderate values of slip Neuringer-Rosensweig model might be considered. Morever, when the slip is at least the Jenkin's model might be deployed when the roughness is at reduced level.

scholarly journals A Multicoefficient Slip-Corrected Reynolds Equation for Micro-Thin Film Gas Lubrication

2005 ◽  
Vol 2005 (2) ◽  
pp. 105-111 ◽  
Author(s):  
Eddie Yin-Kwee Ng ◽  
Ningyu Liu
Keyword(s):  
Slip Velocity ◽  
Reynolds Equation ◽  
Flow Model ◽  
Slip Flow ◽  
Velocity Model ◽  
Slip Model ◽  
Direct Simulation ◽  
Control Techniques ◽  
Linearized Boltzmann Equation ◽  
Quality Control Techniques

This work investigates and analyzes the performance of conventional slip models among various regimes of Knudsen number and developes a new multicoefficient slip-velocity model, by using Taguchi quality control techniques and numerical analysis. A modified Reynolds equation is also derived based on the new slip-flow model. The multicoefficient slip model and its slip-corrected Reynolds equation are suitable to a wide Knudsen range from slip to transition regime. In comparison with other conventional slip models, it is found that the current results have a better agreement with the solution obtained from the linearized Boltzmann equation and direct simulation of Monte Carlo method (DSMC).

scholarly journals Jenkins model based ferrofluid lubrication of a curved rough annular squeeze film: Effect of slip velocity

2015 ◽  
Vol 42 (1) ◽  
pp. 53-71
Author(s):  
Jimit Patel ◽  
G.M. Deheri
Keyword(s):  
Surface Roughness ◽  
Slip Velocity ◽  
Type Equation ◽  
Stochastic Averaging ◽  
Combined Effect ◽  
Squeeze Film ◽  
Model Based ◽  
Squeeze Film Effect ◽  
Load Carrying ◽  
Transverse Roughness

This paper analyzes the combined effect of slip velocity and transverse roughness on the performance of a Jenkins model based ferrofluid lubrication of a squeeze film in curved rough annular plates. The slip model of Beavers and Joseph has been invoked to evaluate the effect of slip velocity. In order to find the effect of surface roughness the stochastic averaging model of Christensen and Tonder has been used. The pressure distribution is obtained by solving the concerned stochastically averaged Reynolds type equation. The load carrying capacity is calculated. The graphical representations of the results indicate that the effect of transverse surface roughness is adverse in general, however, the situation is relatively better in the case of negatively skewed roughness. Further, Jenkins model based ferrofluid lubrication offers some measures in reducing the adverse effect of roughness when slip parameter is kept at reduced level with a suitable ratio of curvature parameters. Lastly, the positive effect of magnetization gets a boost due to the combined effect of variance (-ve) and negatively skewed roughness suitably choosing the aspect ratio.

scholarly journals Mechanical Parameters of the Curvilinear Squeeze Film Bearing Lubricated by a Gecim-Winer Fluid

2017 ◽  
Vol 22 (2) ◽  
pp. 465-473
Author(s):  
A. Walicka ◽  
E. Walicki
Keyword(s):  
Fluid Flow ◽  
Carrying Capacity ◽  
Reynolds Equation ◽  
Flow Model ◽  
Equations Of Motion ◽  
Squeeze Film ◽  
Load Carrying Capacity ◽  
Mechanical Parameters ◽  
Numerical Examples ◽  
Load Carrying

AbstractBased upon a Gecim-Winer fluid flow model, a curvilinear squeeze film bearing is considered. The equations of motion are given in a specific coordinates system. After general considerations on the Gecim-Winer fluid flow these equations are used to derive the Reynolds equation. The solution of this equation is obtained by a method of successive approximation. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of the Gecim-Winer fluid flow in gaps of two simple bearings: radial and spherical are presented.

scholarly journals Combined Effect of Surface Roughness and Slip Velocity on Jenkins Model Based Magnetic Squeeze Film in Curved Rough Circular Plates

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Jimit R. Patel ◽  
Gunamani Deheri
Keyword(s):  
Surface Roughness ◽  
Slip Velocity ◽  
Type Equation ◽  
Squeeze Film ◽  
Circular Plates ◽  
Model Based ◽  
Load Carrying ◽  
Curvature Parameter ◽  
Hyperbolic Form ◽  
Magnetic Strength

This paper aims to discuss the effect of slip velocity and surface roughness on the performance of Jenkins model based magnetic squeeze film in curved rough circular plates. The upper plate’s curvature parameter is governed by an exponential expression while a hyperbolic form describes the curvature of lower plates. The stochastic model of Christensen and Tonder has been adopted to study the effect of transverse surface roughness of the bearing surfaces. Beavers and Joseph’s slip model has been employed here. The associated Reynolds type equation is solved to obtain the pressure distribution culminating in the calculation of load carrying capacity. The computed results show that the Jenkins model modifies the performance of the bearing system as compared to Neuringer-Rosensweig model, but this model provides little support to the negatively skewed roughness for overcoming the adverse effect of standard deviation and slip velocity even if curvature parameters are suitably chosen. This study establishes that for any type of improvement in the performance characteristics the slip parameter is required to be reduced even if variance (−ve) occurs and suitable magnetic strength is in force.

Squeeze Film Behavior for Anisotropic Porous Rectangular Plates

1989 ◽  
Vol 56 (3) ◽  
pp. 541-545 ◽  
Author(s):  
A. B. Wheeler ◽  
R. Balasubramanyam
Keyword(s):  
Porous Material ◽  
Carrying Capacity ◽  
Slip Velocity ◽  
Squeeze Film ◽  
Load Carrying Capacity ◽  
Rectangular Plates ◽  
Material Interface ◽  
Anisotropic Permeability ◽  
Modified Equations ◽  
Load Carrying

The squeeze film between two rectangular plates when one has a porous facing is analyzed taking into account the anisotropic permeability and slip velocity at the fluid and porous material interface. Modified equations for calculating the pressure, the load carrying capacity, and the film thickness and time relations are presented. The effect of the anisotropic permeability and slip velocity at the fluid and porous material interface on the squeeze film behavior is discussed and found to be important.

scholarly journals Mechanical Parameters of the Squeeze Film Curvilinear Bearing Lubricated with a Prandtl Fluid

2016 ◽  
Vol 21 (4) ◽  
pp. 967-977
Author(s):  
A. Walicka ◽  
E. Walicki
Keyword(s):  
Fluid Flow ◽  
Carrying Capacity ◽  
Reynolds Equation ◽  
Flow Model ◽  
Equations Of Motion ◽  
Squeeze Film ◽  
Load Carrying Capacity ◽  
Mechanical Parameters ◽  
Numerical Examples ◽  
Load Carrying

Abstract Based upon a Prandtl fluid flow model, a curvilinear squeeze film bearing is considered. The equations of motion are given in a specific coordinate system. After general considerations on the Prandtl fluid flow these equations are used to derive the Reynolds equation. The solution of this equation is obtained by a method of successive approximation. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of the Prandtl fluid flow in gaps of two simple bearings are presented.

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through
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