Volume 24, Issue 2, June 2016, Pages 359–372
Hemangini R. Jani1, H. C. Patel2, and G. M. Deheri3
1 Ph. D. Section, Gujarat Technological University, Ahmedabad, Gujarat, India
2 Gujarat University, Ahmedabad, Gujarat, India
3 Department of Mathematics, Sardar Patel University V. V. Nagar, Anand, 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.
The unsteady squeezing hydrodynamics of lubrication between two rough parallel plates is analyzed here, which can be modified to represent a hip-joint, where in different moments can be numerically modelled. The stochastic model of Christensen and Tonder has been deployed here to evaluate the effect of surface roughness. Also the effect of roughness parameters on different moments is numerically modelled. The associated stochastically averaged Reynolds equation is solved to obtain the pressure distribution. The results obtained here are presented in graphical forms. The graphical representation establishes that the standard deviation associated with roughness has significant impact. Further it is observed that the situation remains relatively better in the case of negatively skewed roughness. This effect advances when variance (-ve) occurs.
Author Keywords: Squeezing motion, Fluid equation, hydrodynamic lubricant, magnetic field, Hip-joint, Reynolds equation.
Hemangini R. Jani1, H. C. Patel2, and G. M. Deheri3
1 Ph. D. Section, Gujarat Technological University, Ahmedabad, Gujarat, India
2 Gujarat University, Ahmedabad, Gujarat, India
3 Department of Mathematics, Sardar Patel University V. V. Nagar, Anand, 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
The unsteady squeezing hydrodynamics of lubrication between two rough parallel plates is analyzed here, which can be modified to represent a hip-joint, where in different moments can be numerically modelled. The stochastic model of Christensen and Tonder has been deployed here to evaluate the effect of surface roughness. Also the effect of roughness parameters on different moments is numerically modelled. The associated stochastically averaged Reynolds equation is solved to obtain the pressure distribution. The results obtained here are presented in graphical forms. The graphical representation establishes that the standard deviation associated with roughness has significant impact. Further it is observed that the situation remains relatively better in the case of negatively skewed roughness. This effect advances when variance (-ve) occurs.
Author Keywords: Squeezing motion, Fluid equation, hydrodynamic lubricant, magnetic field, Hip-joint, Reynolds equation.
How to Cite this Article
Hemangini R. Jani, H. C. Patel, and G. M. Deheri, “A study on the squeezing hydrodynamics of a lubricant between two rough parallel plates: Hip-Joint representation,” International Journal of Innovation and Scientific Research, vol. 24, no. 2, pp. 359–372, June 2016.
