Hydromagnetic Squeeze Film Performance of Two Conducting Longitudinally Rough Elliptical Plates

  • J. V. Adeshara
  • M. B. Prajapati
  • G. M. Deheri
  • R. M. PatelEmail author
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 169)


This article aims to analyze and discuss the presentation of the HS film between two conducting LR elliptical plates. The surface of bearing characterized by stochastic averaging model is assumed to be rough (longitudinally). The stochastically average type equation of Reynolds is solved with the boundary conditions concerned in order to obtain the characteristics of the bearing performance like pressure distribution and load-carrying capacity. The results establish that LR is more helpful as compared to transverse roughness. The calculated results are presented graphically and from this presentation it is clearly seen that the hydromagnetic lubrication substantially maximizes the load of the system of bearing. In addition, the LCC is maximized in the case of (−ve) skewed roughness due to increased plates conductivity and standard deviation associated with the Longitudinally Roughness. Moreover, in the case of (−ve) skewed roughness and (−ve) variance, the adverse effect of variance (+ve), positive skewness and aspect ratio of the plates can be compensated to some extent by the appropriate combination of conductivity and magnetization. Thus, this study makes it clear that longitudinal roughness must be given due respect while preparing the bearing systems.


Hydromagnetic lubrication Load taking capacity Squeeze film Longitudinal roughness Reynolds’ type equation 



Boundary condition


Uniform transverse magnetic field


Dimensionless pressure


Hydromagnetic lubrication


Hydromagnetic squeeze


Initial film thickness


Load bearing capacity


Load-carrying capacity


Longitudinal roughness


Hartmann number


Magnetic field


Lubricant pressure


Non-dimensional pressure


Radial coordinate


Electrical conductivity


Transverse roughness


Load-carrying capacity


Dimensionless load-carrying capacity


Dimensionless variance (α/h)


Dimensionless standard deviation (σ/h)


Dimensionless skewness (ε/h3)




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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • J. V. Adeshara
    • 1
  • M. B. Prajapati
    • 1
  • G. M. Deheri
    • 2
  • R. M. Patel
    • 3
    Email author
  1. 1.Mathematics DepartmentH. N. G. UPatan–65India
  2. 2.Mathematics DepartmentS. P. UniversityVallabh VidyanagarIndia
  3. 3.Gujarath UniversityAhmedabadIndia

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