18Nov 2018

NUMERICAL SOLUTION OF REYNOLDS EQUATION USING DIFFERENTIAL TRANSFORM METHOD.

  • Department of Basic Science,Al-Safwa High Institute of Engineering.
  • Egyptian Space Program,National Authority for Remote Sensing & Space Science.
  • Department of Mathematics,Faculty of Science, Suez University.
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Reynolds equation is a partial differential equation, derived from the Navier-Stokes equations.Reynolds equation is the fundamental equations of the hydrodynamic lubrication theory.SolutionofReynolds equation describes the pressure distribution of the lubricant in a journal bearing with finite length. The parameters involved in the Reynolds equation are viscosity, density and film thickness of lubricant. However, an accurate analysis of the fluid film hydrodynamics obtained using many numerical solution of the Reynolds equation. Differential Transform Method (DTM) is one of the powerful numerical methods applied to solve linear and nonlinear partial differential equations. This study aims to apply DTM to solve Reynolds equation in partial differential form to get pressure distribution of journal bearing. Results obtained from the DTM compared with available solutions obtained using other numerical methods and show good agreement. The obtained results reveal that the technique used here is good, effective and convenient for such kind of problems.

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[Ahmed f. Koura, m. Elhady and m.s.metwally. (2018); NUMERICAL SOLUTION OF REYNOLDS EQUATION USING DIFFERENTIAL TRANSFORM METHOD. Int. J. of Adv. Res. 6 (Nov). 729-737] (ISSN 2320-5407). www.journalijar.com

A. M. Elhady
Adjunct Prof., Egyptian Space Program, NARSS, Cairo, Egypt.

DOI:

Article DOI: 10.21474/IJAR01/8053      
DOI URL: https://dx.doi.org/10.21474/IJAR01/8053

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