Effect of Slip Velocity on the Performance of an Infinitely Short Rough Porous Journal Bearing

  • Pragnesh L. ThakkarEmail author
  • G. M. DeheriEmail author
  • Nimeshchandra S. PatelEmail author
  • Himanshu C. PatelEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


This paper discusses the influence of slip velocity on the behaviour of a rough short porous journal bearing. The slip velocity is governed by Beavres and Joseph’s model. The associated stochastically averaged Reynolds equation is derived by the often used model of Christensen and Tonder for roughness, wherein a different type of Beta distribution is deployed. The expressions for load bearing capacity and friction are obtained. The graphical representations assert that the slip effect is either negligible or nominal except when skewness is more. Indeed, the coefficient of friction remains marginally changed by the slip effect barring the situation of higher skewness. Mostly, the porosity effect on the coefficient of friction remains negligible (up to the porosity value 0.001). Besides, the eccentricity plays a crucial role for augmenting the performance particularly when the slip effect is nominal, while the negatively skewed roughness surfaces. The combined positive effect of negatively skewed roughness, variance(-ve) and eccentricity may not be sufficient to overcome the adverse effect of porosity and standard deviation, when the slip effect is considerable. Therefore for any type of enhancement for bearing characteristic the slip is sought to be taken minimum. In addition, variance(-ve) offers a little assistance to the negatively skewed roughness when the slip is more. Lastly, the new beta distribution function proves to be somewhat better than invariably used distribution when the slip effect is nominal. If designed properly this type of bearing system may prove to be useful for a good range of eccentricity.


Reynolds equation Porosity Transverse roughness Friction Load carrying capacity Slip velocity 


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsL. D. College of EngineeringAhmedabadIndia
  2. 2.Department of MathematicsS. P. UniversityVallabh VidyanagarIndia
  3. 3.Mechanical Engineering Department, Faculty of TechnologyD. D. UniversityNadiadIndia

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