2002
DOI: 10.1115/1.1484113
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An Average Lubrication Equation for Thin Film Grain Flow With Surface Roughness Effects

Abstract: A closed-form average lubrication equation for thin film grain flow with the effects of surface roughness is derived. This equation is based on Haff’s grain flow theory and also the flow factors proposed by Patir and Cheng. The flow factors, derived by the perturbation approach and coordinate transformation, are expressed in terms of surface characteristics (three characteristics for each surface: roughness orientation, Peklenik number and standard derivation) and particle size. Finally, the flow factors under… Show more

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Cited by 18 publications
(15 citation statements)
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“…Furthermore, McKeague and Khonsari 17 studied the behaviour of powder lubricated slider bearings with general boundary conditions that takes into account the powder slippage. Tsai and Jeng 18 derived a closed-form average lubrication equation for thin film grain flow with the effects of surface roughness. The authors have utilized the grain theory proposed by Haff 14 in their derivation.…”
Section: Several Modelling Techniques Have Been Developedmentioning
confidence: 99%
“…Furthermore, McKeague and Khonsari 17 studied the behaviour of powder lubricated slider bearings with general boundary conditions that takes into account the powder slippage. Tsai and Jeng 18 derived a closed-form average lubrication equation for thin film grain flow with the effects of surface roughness. The authors have utilized the grain theory proposed by Haff 14 in their derivation.…”
Section: Several Modelling Techniques Have Been Developedmentioning
confidence: 99%
“…14 The characteristics of journal bearing lubricated with granular particles were studied by Tsai and Jeng. 15,16…”
Section: Introductionmentioning
confidence: 99%
“…14 The characteristics of journal bearing lubricated with granular particles were studied by Tsai and Jeng. 15,16 The flow behavior of powder lubricants was studied by Zhou and Khonsari 17 by developing a mathematical model. 18 They studied the lubrication mechanism occurring between two parallel plates.…”
Section: Introductionmentioning
confidence: 99%
“…The flow factor tensor, derived by the Green function technique and using the perturbation approach, has been the most complete description of the interaction between lubricant flow and roughness. The flow factors method has been applied to grain flow lubrication [28,29].…”
Section: Introductionmentioning
confidence: 99%
“…The wafer and pad are considered to be equal in width. Based on order-of-magnitude analysis, Haff's grain flow theory and using the Patir/Cheng flow factors by Tripp's perturbation approach, the generalized average lubrication equation is obtained as[28] …”
mentioning
confidence: 99%