Derivation of two-dimensional couple-stress hydromagnetic squeeze film Reynolds equation and application to wide parallel rectangular plates |
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| Authors: | Jaw-Ren Lin Li-Ming Chu Chi-Ren Hung Pin-Yu Wang |
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| Institution: | 1. Department of Mechanical Engineering, Taoyuan Innovation Institute of Technology, No. 414, Sec. 3, Jhongshan E. Rd., Jhongli, 320, Taiwan
2. Department of Mechanical and Automation Engineering, I-Shou University, Dashu, Kaohsiung, Taiwan
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| Abstract: | 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. |
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