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    Tytuł:
    Operating parameters of a slide bearing with parabolic-shaped slide surfaces with consideration of the stochastic changes in the lubrication gap height
    Autorzy:
    Miszczak, Andrzej
    Wierzcholski, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/244155.pdf
    Data publikacji:
    2019
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    hydrodynamic lubrication
    analytical stochastic principles
    solutions
    apparent viscosity
    numerical calculation
    load carrying capacity
    friction force
    Opis:
    In this article, the authors present the equations of the hydrodynamic theory for a slide bearing with parabolicshaped slide surfaces. The lubricating oil is characterized by non-Newtonian properties, i.e. an oil for which, apart from the classic oil viscosity dependence on pressure and temperature, also an effect of the shear rate is taken into account. The first order constitutive equation was adopted for considerations, where the apparent viscosity was described by the Cross equation. The analytical solution uses stochastic equations of the momentum conservation law, the stream continuity and the energy conservation law. The solution takes into account the expected values of the hydrodynamic pressure EX[p(ϕ,ζ)], of the temperature EX[T(ϕ,y,ζ)], of the velocity value of lubricating oil EX[vi(ϕ,y,ζ)], of the viscosity of lubricating oil EX[ηT(ϕ,y,ζ)] and of the lubrication gap height EX[εT(ϕ,ζ)]. It was assumed, that the oil is incompressible and the changes in its density and thermal conductivity were omitted. A flow of lubricating oil was laminar and non-isothermal. The research concerned the parabolic slide bearing of finite length, with a smooth sleeve surface, with a full wrap angle. The aim of this work is to derive the stochastic equations, that allow to determine the temperature distribution, hydrodynamic pressure distribution, velocity vector components, load carrying capacity, friction force and friction coefficient, in the parabolic sliding bearing, lubricated with nonNewton (Cross) oil, including the stochastic changes in the lubrication gap height. The paper presents the results of analytical and numerical calculation of flow and operating parameters in parabolic sliding bearings, taking into account the stochastic height of the lubrication gap. Numerical calculations were performed using the method of successive approximations and finite differences, with own calculation procedures and the Mathcad 15 software.
    Źródło:
    Journal of KONES; 2019, 26, 4; 171-178
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of random friction forces on the microbearing cooperating surfaces
    Autorzy:
    Wierzcholski, Krzysztof
    Miszczak, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/244986.pdf
    Data publikacji:
    2019
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    microbearings
    computer fan
    hard disc driver bearings
    hydrodynamic lubrication
    analytical stochastic principles
    analytical solutions
    apparent viscosity depended on the gap height variations
    Opis:
    Presented paper concerns a new mathematical form of stochastic theory of hydrodynamic friction forces occurring on the real cooperating surfaces in computer micro bearing fan and computer microbearing in hard disc driver HDD. This paper presents particularly a new-review of stochastic analytical considerations realized by the authors for friction forces estimation during hydrodynamic lubrication performed on the ground of the measurements of the gap height between two roughness surfaces. After numerous experimental measurements directly follows that the random unsymmetrical increments and decrements of the gap height of computer microbearings have important influence on the load carrying capacities and finally on the friction forces and wear of cooperating surfaces. The main topic demonstrates the influence of the variations of expectancy values and standard deviation of the computer microbearing gap height on the friction forces occurring in the HDD and microbearing fan. Moreover, it is observed the evident connection between the apparent dynamic viscosity and the features of the microbearing superficial surface. Hence after abovementioned remarks follows the corollary that the influence of the microbearing gap height stochastic variations connected with the surface roughness tend moreover indirect from the apparent viscosity into the friction forces variations. The synthetic, complex elaboration of obtained results indicates finally the influence of the random roughness in micro and nano level of microbearing surfaces on the friction forces distribution. A new results contained in this paper are obtained taking into account 3D variations of dynamic viscosity of the non-Newtonian lubricant, particularly variations crosswise the film thickness and influences of surface superficial layer features on the lubricant apparent viscosity.
    Źródło:
    Journal of KONES; 2019, 26, 2; 167-174
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Determination of Random Friction Forces on the Biological Surfaces of a Human Hip Joint with a Phospholipid Bilayer
    Wyznaczanie losowych sił tarcia na biologicznych powierzchniach stawu biodra z dwuwarstwą fosfolipidów
    Autorzy:
    Wierzcholski, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/190381.pdf
    Data publikacji:
    2019
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    human hip joint
    friction forces
    hydrodynamic lubrication
    phospholipids bilayer
    analytical stochastic
    estimation of solutions
    apparent viscosity
    gap height
    staw biodrowy człowieka
    siły tarcia
    hydrodynamiczne smarowanie
    dwuwarstwa fosfolipidów
    stochastyczne analityczne oszacowania rozwiązań
    lepkość pozorna
    wysokość szczeliny
    Opis:
    The paper presented concerns a new mathematical form of the stochastic theory of hydrodynamic friction forces occurring on real human hip joint surfaces with a phospholipids bilayer. This paper particularly presents a new review of stochastic analytical considerations realized by the authors for friction forces estimation during hydrodynamic lubrication of biological surfaces performed on the basis of the gap height measurements in the human hip joint. After numerous experimental measurements, it directly follows that the random unsymmetrical increments and decrements of the gap height of human joints have an important influence on the load carrying capacities and finally on the friction forces and wear of cooperating cartilage surfaces. The main topic demonstrates the impact of the variations of expectancy values and the standard deviation of the human joint gap height on the friction forces occurring in the human joint. Moreover, an evident connection is observed between the apparent dynamic viscosity and the features of the cartilage surface coated by the phospholipid cells. Hence, after the abovementioned remarks, follows the corollary that the influence of the gap height stochastic variations and random surfaces coated by the PL cells tend indirectly from the apparent viscosity into the friction force variations. The synthetic, complex elaborations of the results obtained indicate the influence of the random roughness and stochastic growth of living biological cartilage surfaces on the friction forces distribution.
    Celem badawczym podjętym w pracy jest wpływ zmian losowych wysokości szczeliny stawu na zmiany wartości sił nośnych oraz sił tarcia i współczynników tarcia. Do oddziaływań losowych zaliczamy między innymi: ciągłe zmiany architektury kształtów mikrochropowatości powierzchni chrząstki stawowej z udziałem komórek fosfolipidów, ciągły wzrost żywych komórek chrząstki stawowej, mikrometrowej wielkości odkształcenia hipersprężystej warstwy wierzchniej chrząstki stawowej. Głównym rezultatem pracy jest oszacowanie funkcji oczekiwanej sił tarcia i współczynników tarcia dla biołożysk w postaci ogólnych wzorów analitycznych w zależności od pomierzonych wartości funkcji gęstości prawdopodobieństwa. Według informacji autora przedstawiony w niniejszej pracy model stochastyczny układu równań ruchu i energii dla hydrodynamicznej teorii smarowania jest nowy, ponieważ ujmuje losowe zmiany wszystkich parametrów jednocześnie w odróżnieniu od dotychczasowych modeli probabilistycznych ograniczających się jedynie do zmian losowych wysokości szczeliny biołożyska. W pracy wprowadzono nowe pojęcie funkcji oczekiwanej w odróżnieniu od wartości oczekiwanej. Przedstawiony cel badawczy jest w niniejszej pracy realizowany poprzez badanie rozwiązań analitycznych stochastycznego modelu hydrodynamicznego smarowania stawu w postaci układu równań ruchu oraz przez probabilistyczną analizę parametrów smarowania stawu w zakresie odchyleń standardowych w powiązaniu z wynikami doświadczalnie pomierzonych wysokości szczeliny stawu. W pracy uwzględnia się wpływ wysokości i kształtu mikroszczeliny stawu na wartość lepkości pozornej cieczy synowialnej o własnościach nienewtonowskich w ruchu ustalonym pomiędzy dwoma współpracującymi powierzchniami chrząstek stawowych.
    Źródło:
    Tribologia; 2019, 284, 2; 131-142
    0208-7774
    Pojawia się w:
    Tribologia
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of random bio-hydrodynamic lubrication parameters for joints with phospholipid bilayers
    Autorzy:
    Wierzcholski, Krzysztof
    Miszczak, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/2173539.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    human joint
    estimation of lubrication parameters
    phospholipids bilayer
    analytical stochastic principles
    analytical stochastic solutions
    apparent viscosity depended on the gap height variations
    staw ludzki
    oszacowanie parametrów smarowania
    dwuwarstwa fosfolipidowa
    analiza stochastyczna zasad
    analiza stochastyczna problemów
    lepkość pozorna
    Opis:
    This paper presents a new form of a mathematical estimation of stochastic bio-hydrodynamic lubrication parameters for real human joint surfaces with phospholipid bilayers. In this work, the authors present the analytical and stochastic considerations, which are based on the measurements of human joint surfaces. The gap is restricted between two cooperating biological surfaces. After numerous experimental measurements, it directly follows that the random symmetrical as well as unsymmetrical increments and decrements of the gap height in human joints influence the hydrodynamic pressure, load-carrying capacity, friction forces, and wear of the cooperating cartilage surfaces in human joints. The main focus of the paper was to demonstrate the influence of variations in the expected values and standard deviation of human joint gap height on the hydrodynamic lubrication parameters occurring in the human joint. It is very important to notice that the new form of apparent dynamic viscosity of synovial fluid formulated by the authors depends on ultra-thin gap height variations. Moreover, evident connection was observed between the apparent dynamic viscosity and the properties of cartilage surface coated by phospholipid cells. The above observations indicate an indirect impact of stochastic changes in the height of the gap and the indirect impact of random changes in the properties of the joint surface coated with the phospholipid layers, on the value of hydrodynamic pressure, load carrying capacity and friction forces. In this paper the authors present a synthetic, comprehensive estimation of stochastic bio-hydrodynamic lubrication parameters for the cooperating, rotational cartilage bio-surfaces with phospholipid bilayers occurring in human joints. The new results presented in this paper were obtained taking into account 3D variations in the dynamic viscosity of synovial fluid, particularly random variations crosswise the film thickness for non-Newtonian synovial fluid properties. According to the authors’ knowledge, the obtained results are widely applicable in spatiotemporal models in biology and health science.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 1; art. no. e135834
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Estimation of random bio-hydrodynamic lubrication parameters for joints with phospholipid bilayers
    Autorzy:
    Wierzcholski, Krzysztof
    Miszczak, Andrzej
    Powiązania:
    https://bibliotekanauki.pl/articles/2090697.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    human joint
    estimation of lubrication parameters
    phospholipids bilayer
    analytical stochastic principles
    analytical stochastic solutions
    apparent viscosity depended on the gap height variations
    staw ludzki
    oszacowanie parametrów smarowania
    dwuwarstwa fosfolipidowa
    analiza stochastyczna zasad
    analiza stochastyczna problemów
    lepkość pozorna
    Opis:
    This paper presents a new form of a mathematical estimation of stochastic bio-hydrodynamic lubrication parameters for real human joint surfaces with phospholipid bilayers. In this work, the authors present the analytical and stochastic considerations, which are based on the measurements of human joint surfaces. The gap is restricted between two cooperating biological surfaces. After numerous experimental measurements, it directly follows that the random symmetrical as well as unsymmetrical increments and decrements of the gap height in human joints influence the hydrodynamic pressure, load-carrying capacity, friction forces, and wear of the cooperating cartilage surfaces in human joints. The main focus of the paper was to demonstrate the influence of variations in the expected values and standard deviation of human joint gap height on the hydrodynamic lubrication parameters occurring in the human joint. It is very important to notice that the new form of apparent dynamic viscosity of synovial fluid formulated by the authors depends on ultra-thin gap height variations. Moreover, evident connection was observed between the apparent dynamic viscosity and the properties of cartilage surface coated by phospholipid cells. The above observations indicate an indirect impact of stochastic changes in the height of the gap and the indirect impact of random changes in the properties of the joint surface coated with the phospholipid layers, on the value of hydrodynamic pressure, load carrying capacity and friction forces. In this paper the authors present a synthetic, comprehensive estimation of stochastic bio-hydrodynamic lubrication parameters for the cooperating, rotational cartilage bio-surfaces with phospholipid bilayers occurring in human joints. The new results presented in this paper were obtained taking into account 3D variations in the dynamic viscosity of synovial fluid, particularly random variations crosswise the film thickness for non-Newtonian synovial fluid properties. According to the authors’ knowledge, the obtained results are widely applicable in spatiotemporal models in biology and health science.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 1; e135834, 1--16
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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