Volume 23, Issue 2, May 2016, Pages 466–475
Himesh Arvindbhai Patel1, Himanshu C. Patel2, and G.M. Deheri3
1 Department of Mathematics, Gujarat Power Engineering and Research Institute Mehsana, Gujarat, India
2 Department of Mathematics, L D Engineering College, Ahmedabad, Gujarat, India
3 Department of Mathematics, Sardar Patel University, V.V.Nagar, Gujarat, India
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper aims to analyze the combined effect of couple stress and longitudinal surface roughness on the behavior of a Shliomis model based ferrofluid squeeze film in circular plates. The stochastic averaging model of Christensen and Tonder for longitudinally surface roughness has been adopted here. The generalized Reynolds’ type equation obtained by the application of Shliomis ferro-hydrodynamic model incorporating the Stoke’s micro- continuum theory has been stochastically averaged. The pressure distribution in the bearing system has been calculated taking recourse to appropriate boundary conditions. Then load carrying capacity of the bearing system is derived. The results presented in graphical forms, make it clear that the longitudinal surface roughness significantly modifies the squeeze film performance. It is clearly observed that the enhanced performance due to the combined effect of couple stress and magnetization gets further improved due to longitudinal surface roughness barring the case of negatively skewed roughness.
Author Keywords: Circular plates, Squeeze film, roughness, Couple stress, Ferrofluid.
Himesh Arvindbhai Patel1, Himanshu C. Patel2, and G.M. Deheri3
1 Department of Mathematics, Gujarat Power Engineering and Research Institute Mehsana, Gujarat, India
2 Department of Mathematics, L D Engineering College, Ahmedabad, Gujarat, India
3 Department of Mathematics, Sardar Patel University, V.V.Nagar, Gujarat, India
Original language: English
Copyright © 2016 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper aims to analyze the combined effect of couple stress and longitudinal surface roughness on the behavior of a Shliomis model based ferrofluid squeeze film in circular plates. The stochastic averaging model of Christensen and Tonder for longitudinally surface roughness has been adopted here. The generalized Reynolds’ type equation obtained by the application of Shliomis ferro-hydrodynamic model incorporating the Stoke’s micro- continuum theory has been stochastically averaged. The pressure distribution in the bearing system has been calculated taking recourse to appropriate boundary conditions. Then load carrying capacity of the bearing system is derived. The results presented in graphical forms, make it clear that the longitudinal surface roughness significantly modifies the squeeze film performance. It is clearly observed that the enhanced performance due to the combined effect of couple stress and magnetization gets further improved due to longitudinal surface roughness barring the case of negatively skewed roughness.
Author Keywords: Circular plates, Squeeze film, roughness, Couple stress, Ferrofluid.
How to Cite this Article
Himesh Arvindbhai Patel, Himanshu C. Patel, and G.M. Deheri, “Effect of Longitudinal Surface Roughness on the Performance of a Shliomis Model Based Ferrofluid Circular Squeeze Film Considering Couple stresses Effect,” International Journal of Innovation and Scientific Research, vol. 23, no. 2, pp. 466–475, May 2016.
