New Solutions for Lubricant Viscosity and Temperature Variations Across the Thin Film on Arbitrary Sliding Bearing Surfaces

Wierzcholski, Krzysztof; Miszczak, Andrzej

doi:10.5604/01.3001.0054.9834

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Tytuł artykułu

New Solutions for Lubricant Viscosity and Temperature Variations Across the Thin Film on Arbitrary Sliding Bearing Surfaces

Autorzy

Wierzcholski Krzysztof , Miszczak Andrzej

Treść / Zawartość

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Identyfikatory

DOI

10.5604/01.3001.0054.9834

Warianty tytułu

Nowe rozwiązania dla zmian temperatury i lepkości smaru w poprzek cienkiego filmu na dowolnych powierzchniach łożysk ślizgowych

Języki publikacji

Abstrakty

The aim of this paper is to analyse the changes in apparent dynamic viscosity and temperature across any thin non-Newtonian lubricating liquid layer, and determine the influence of such variations on the hydrodynamic pressure and load-carrying capacity for arbitrary curvilinear monotone or non-monotone rotational and nonrotational sliding bearing surfaces. This requires determining particular semi-analytical solutions of a strongly non-linear, second-order partial differential system of five equations with variable coefficients in curvilinear coordinates, and imposing proper curvilinear boundary conditions on it. After initial numerical calculations for any bearing surface, especially with a conical or spherical shape, the changes in temperature and viscosity across the thickness of the lubricating film change the load-carrying capacity by nearly 20 per cent compared to the results obtained from classic calculations in the contemporary scientific literature, where the temperature and oil dynamic viscosity are assumed constant across the film thickness.

Celem niniejszej pracy są zmiany lepkości pozornej i temperatury w poprzek cienkiej, ogólnie dowolnej nienewtonowskiej warstewki cieczy smarującej oraz wyznaczenie wpływu tych zmian na ciśnienie hydrodynamiczne i nośność dowolnych obrotowych i nieobrotowych, a także monotonicznych i niemonotonicznych powierzchni łożysk ślizgowych. Powyższy cel narzuca konieczność wyznaczenia semi-analitycznych rozwiązań silnie nieliniowego układu pięciu równań różniczkowych cząstkowych rzędu drugiego o zmiennych współczynnikach w układach krzywoliniowych wraz z nałożeniem na te rozwiązania krzywoliniowych warunków brzegowych. Po obliczeniach dla dowolnych powierzchni łożysk, szczególnie o kształtach stożkowych, sferycznych, parabolicznych, obserwujemy, że zmiany temperatury i lepkości w poprzek grubości cienkiego filmu smarującego powodują istotne, średnio 20-procentowe zmiany nośności łożyska w porównaniu z rezultatami uzyskanymi z obliczeń klasycznych zawartych we współczesnej literaturze naukowej dla stałej wartości temperatury i lepkości dynamicznej przyjętej po grubości filmu.

Słowa kluczowe

sliding surface bearing non-isothermal lubrication 3D oil viscosity change 3D temperature change load carrying capacity calculation result

powierzchnia ślizgowa łożysko nieizotermiczne smarowanie trójwymiarowa zmiana temperatury trójwymiarowa zmiana lepkości oleju siła nośna rezultat obliczeniowy

Wydawca

Stowarzyszenie Inżynierów i Techników Mechaników Polskich

Czasopismo

Tribologia

Rocznik

2024

Tom

nr 4

Strony

103--113

Opis fizyczny

Bibliogr.50 poz., rys., wz.

Twórcy

autor

Wierzcholski Krzysztof

WSG Bydgoszcz University, Garbary 2 Str., 85-229 Bydgoszcz, Poland

https://orcid.org/0000-0002-9074-4200

autor

Miszczak Andrzej

Faculty of Marine Engineering, Morska 81-87 Str., 81-225 Gdynia, Poland
0000-0002-2747-7904

https://orcid.org/0000-0002-2747-7904

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-c82b8a85-6e4d-465c-a5d7-6e1f7daeb722