This paper is published in Volume 3, Issue 2, 2018
Area
Mathematics
Author
Syed Arishiya Naseem Fatima
Co-authors
Trimbak Biradar, Hanumagowda B. N
Org/Univ
K. C. T College of Engineering, Gulbarga, Karnataka, India
Pub. Date
21 February, 2018
Paper ID
V3I2-1183
Publisher
Keywords
Convex Curved Plates, Cosine Function, Magnetic Field, Porous Medium , Surface Roughness, Couple Stress Effect.

Citationsacebook

IEEE
Syed Arishiya Naseem Fatima, Trimbak Biradar, Hanumagowda B. N. Modified form of Reynolds Equation for Porous Cosine-Form Convex Curved Plates with Couplestress Effects, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARnD.com.

APA
Syed Arishiya Naseem Fatima, Trimbak Biradar, Hanumagowda B. N (2018). Modified form of Reynolds Equation for Porous Cosine-Form Convex Curved Plates with Couplestress Effects. International Journal of Advance Research, Ideas and Innovations in Technology, 3(2) www.IJARnD.com.

MLA
Syed Arishiya Naseem Fatima, Trimbak Biradar, Hanumagowda B. N. "Modified form of Reynolds Equation for Porous Cosine-Form Convex Curved Plates with Couplestress Effects." International Journal of Advance Research, Ideas and Innovations in Technology 3.2 (2018). www.IJARnD.com.

Abstract

This paper presents the theoretical study of couplestress effect on the squeeze film lubrication of cosine form of convex curved plates in which the upper plate has rough structure and lower plate is with porosity in the presence of an externally applied magnetic field .The gap between the plates is filled with non-Newtonian conducting lubricant of film thickness which consists of nominal smooth and rough part. The modified Reynold’s equation is derived using Christensen’s stochastic theory for rough surfaces. Expressions for dimensionless pressure distribution, load carrying capacity and squeeze film time are derived. The solution of the modified Reynold’s equation is obtained and for various physical parameters the results are discussed in terms of squeeze film characteristics of the bearings and graphs are plotted for the results. It is seen that for couplestresses in the presence of transverse magnetic field surface roughness effects are more prominent as compared to non-conducting Newtonian fluid(NCNF) in case of cosine form of convex curved plates. Tabulated values shows, for increased values of couplestress parameter, magnetic and roughness parameter load capacity and squeeze film time increases in transverse roughness case and these quantities decreases in case of longitudinal roughness and also decrease in load carrying capacity and response time is seen in case of permeability compared to impermeable case.
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