Derivation of two-dimensional couple-stress hydromagnetic squeeze film Reynolds equation and application to wide parallel rectangular plates

On the basis of Stokes couple-stress fluid model together with the hydromagnetic flow equations, a two-dimensional curved squeeze-film Reynolds equation has been derived. This equation can be applied to the study of squeeze film characteristics including the non-Newtonian hydromagnetic effects, in w...

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Bibliographic Details
Published in:Meccanica (Milan) 2013, Vol.48 (1), p.253-258
Main Authors: Lin, Jaw-Ren, Chu, Li-Ming, Hung, Chi-Ren, Wang, Pin-Yu
Format: Article
Language:English
Subjects:
Automotive Engineering
Brief Notes and Discussions
Civil Engineering
Classical Mechanics
Computational fluid dynamics
Fluid flow
Hydromagnetics
Joining
Mathematical analysis
Mathematical models
Mechanical Engineering
Physics
Physics and Astronomy
Reynolds equation
Squeeze films
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Summary:On the basis of Stokes couple-stress fluid model together with the hydromagnetic flow equations, a two-dimensional curved squeeze-film Reynolds equation has been derived. This equation can be applied to the study of squeeze film characteristics including the non-Newtonian hydromagnetic effects, in which the general film shape is h = h ( x , z , t ). To guide the application of the equation, an example of one-dimensional parallel rectangular plates lubricated with a non-Newtonian couple-stress, electrically conducting lubricant is illustrated. According to the results, the effects of couple stresses and external magnetic fields provide an increase in the load capacity and the response time as compared to the classical Newtonian hydrodynamic rectangular squeeze-film plates.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-012-9613-7