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In gear power transmission systems, the lubricant helps reduce friction, wear of parts in contact, cooling of surfaces, reduction of operating noise, protection of components against corrosion, etc. In spite of that, the lubricant entrapment in the gears inter-tooth space generates substantial energy losses at very high rotational speeds. The best optimization of these energy losses requires the preliminary knowledge of the behavior of leakage surfaces of trapped lubricant during the gears rotation. The aim of this work is to develop a purely analytical model enabling to calculate the exact values of the axial and radial leakage surfaces of the lubricant in the inter-tooth space of external spur gears as well as the volumes of the pockets. From the modeling of the tooth profile and the parametric equations relating to external spur gears, we have developed a purely analytical model of the lubricant leakage surfaces in the inter-tooth space as a function of the angle of rotation.
Choupo Wankam Gervé. 2026. \u201cEstablishment of an Analytical Model for Determining Leakage Surfaces in an External Tooth Spur Gear\u201d. Global Journal of Research in Engineering - A : Mechanical & Mechanics GJRE-A Volume 22 (GJRE Volume 22 Issue A2): .
Crossref Journal DOI 10.17406/gjre
Print ISSN 0975-5861
e-ISSN 2249-4596
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Total Score: 102
Country: Cameroon
Subject: Global Journal of Research in Engineering - A : Mechanical & Mechanics
Authors: Choupo Wankam Gervé, Tchotang Théodore (PhD/Dr. count: 0)
View Count (all-time): 295
Total Views (Real + Logic): 1679
Total Downloads (simulated): 41
Publish Date: 2026 01, Fri
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In gear power transmission systems, the lubricant helps reduce friction, wear of parts in contact, cooling of surfaces, reduction of operating noise, protection of components against corrosion, etc. In spite of that, the lubricant entrapment in the gears inter-tooth space generates substantial energy losses at very high rotational speeds. The best optimization of these energy losses requires the preliminary knowledge of the behavior of leakage surfaces of trapped lubricant during the gears rotation. The aim of this work is to develop a purely analytical model enabling to calculate the exact values of the axial and radial leakage surfaces of the lubricant in the inter-tooth space of external spur gears as well as the volumes of the pockets. From the modeling of the tooth profile and the parametric equations relating to external spur gears, we have developed a purely analytical model of the lubricant leakage surfaces in the inter-tooth space as a function of the angle of rotation.
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