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1
Content available remote Performance of the curvilinear thrust bearing lubricated by a pseudo-plastic fluid of Rotem-Shinnar
Walicka A., Walicki E.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 3
895-907
EN
In the paper the influence of inertia forces on the pressure distribution and load-carrying capacity of a thrust bearing with curvilinear working surfaces is discussed. The equations of motion of a pseudo-plastic fluid of Rotem-Shinnar, including inertia term of a circumferential flow, are used to derive the modified Reynolds equation. As a result of an analytical solution of the modified Reynolds equation the formulae for the bearing performance are obtained. Step and spherical bearings are considered as examples.
2
Content available remote Mechanical parameters of a squeeze film step biobearing with a porous layer lubricated by a couple-stress fluid
Jurczak P.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 3
707-718
EN
The flow of a synovial fluid modelled as a couple-stress fluid in a squeeze film biological bearing with a permeable layer is considered. The biobearing is modelled by two rotational surfaces and the permeable layer is adhered to the curved impermeable surface. The flow in a squeeze film biobearing is considered with inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. The flow of a couple-stress fluid in permeable layer satisfies the modified Darcy's law. As an example the biological bearing modelled by two parallel surfaces is discussed.
3
Content available remote Inertia effects in a curvilinear thrust hydrostatic bearing with a porous pad
Walicka A., Jurczak P., Walicki E.
International Journal of Applied Mechanics and Engineering
|
2010
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Vol. 15, no 4
1227-1238
EN
The flow of a Newtonian lubricant in a clearance of a curvilinear thrust hydrostatic bearing with one porous wall is considered. The bearing is modelled by two curvilinear smooth surfaces and the porous wall is adhered to the curve non-porous surface. The flow in the bearing clearance is considered with inertia forces and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. The equations of motion are solved by an averaged inertia method. Step and spherical bearings are discussed as examples. It shown that the inertia effects influence the bearing performance considerably.
4
Content available remote Inertia effects in a curvilinear thrust hydrostatic bearing lubricated by a power-law lubricant
Walicka A., Jurczak P., Walicki E.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 4
1239-1251
EN
The flow of a power-law lubricant in a clearance of a curvilinear thrust hydrostatic bearing with impermeable walls is considered. The bearing is modelled by two curvilinear smooth surfaces. The lubricant flow in the bearing clearance is considered with inertia forces. The equations of motion for power-law fluid (similar to the boundary layer equations) are solved by an averaged inertia method. Step and spherical bearing are discussed as examples. It is shown that the inertia effects influence the bearing performance considerably.
5
Content available remote Surface roughness effects in a curvilinear squeeze film bearing lubricated by a power-law fluid
Walicka A.
International Journal of Applied Mechanics and Engineering
|
2009
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Vol. 14, no 1
277-293
EN
The flow of a power-law lubricant in a squeeze film bearing is considered. The bearing is modelled by two curvilinear rough surfaces. The flow in the bearing clearance is considered without inertia. Using the Christensen stochastic model of a surface roughness the closed-form solution is obtained. A step bearing and a spherical bearing are discussed as examples. It is shown that the power-law exponent and the roughness considerably influence the bearing performance.
6
Content available remote Surface roughness effects in a curvilinear squeeze film bearing with a porous pad lubricated by a power-law fluid
Walicka A.
International Journal of Applied Mechanics and Engineering
|
2009
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Vol. 14, no 2
559-583
EN
The flow of a power-law lubricant in a squeeze film bearing with one porous wall is considered. The bearing is modelled by two curvilinear rough surfaces and the porous wall is adheres to the curved non-porous surface. The flow in the bearing clearance is considered without inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. Using the Christensen stochastic model of a surface roughness a closed-form solution is obtained. A step bearing and a spherical bearing are discussed as examples. It is shown that the power-law exponent and the roughness influence the bearing performance considerably.
7
Content available remote Inertia and surface roughness effects in a curvilinear squeeze film bearing lubricated by a power-law fluid
Walicka A.
International Journal of Applied Mechanics and Engineering
|
2009
|
Vol. 14, no 4
1139-1161
EN
The flow of a power-law lubricant in a squeeze film bearing is considered. The bearing is modelled by two curvilinear rough surfaces. The flow in the bearing clearance is considered with inertia effects. Using the Christensen stochastic model of a surface roughness a closed-form solution is obtained. A step bearing and a spherical bearing are discussed as examples. It is shown that the power-law exponent and the roughness considerably influence the bearing performance.
8
Content available remote Rotational inertia effect in a curvilinear thrust bearing with porous layer lubricated by a Newtonian fluid
Jurczak P.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 1
37-45
EN
The flow of a Newtonian lubricant in a bearing clearance is discussed. The bearing is modelled by two rotational surfaces and the porous layer is adhered to the curved impermeable surface. The effects of rotational inertia forces on the pressure distribution are examined. The flow in the bearing clearance is considered with inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. As an example the bearing modelled by two spherical surfaces was discussed in detail.
9
Content available remote Reodynamics of lubricating curvilinear thrust bearings with Ellis pseudo-plastic fluid.
Ratajczak M., Walicka A., Walicki E., Ratajczak P.
Zagadnienia Eksploatacji Maszyn
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2006
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Vol. 41, nr 2
147-158
EN
The paper addresses the problems of flow of Ellis pseudo-plastic fluid in the clearance of thrust bearing with curved surfaces. On the basis of analytic solutions to the equations of motion - presented in the orthogonal curvilinear coordinates system - formulae for pressure distribution are given. The research focuses on the determination of the effect of inertia components (suitably simplified equations of motion) on the flow area. The solutions obtained are illustrated with examples of flows in flat and spherical bearings.
PL
W artykule autorzy przedstawiają zagadnienia przepływu płynu pseudoplastycznego Ellisa w szczelinie krzywopowierzchniowego łożyska wzdłużnego. W oparciu o rozwiązania analityczne równań ruchu - przedstawionych w krzywoliniowym ortogonalnym układzie współrzędnych - podano formuły na rozkład ciśnienia. Badania w szczególności koncentrowały się na określeniu wpływu składników bezwładnościowych (odpowiednio uproszczonych równań ruchu) na pole przepływu. Otrzymane rozwiązania zilustrowano przykładami przepływów w łożyskach płaskich i kulistych.
10
Content available remote Mechanical parameters of a curvilinear bearing with one porous pad lubricated by a power-law fluid.
Jurczak P., Walicka A., Walicki E., Michalski D.
Zagadnienia Eksploatacji Maszyn
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2006
|
Vol. 41, nr 2
71-81
EN
The flow of a power-law lubricant in a squeeze film bearing with one porous pad is considered. The bearing is modelled by two curvilinear surfaces and the porous pad is adhered to the curved non-porous surface. The flow in the bearing clearance is considered with inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. Using the averaged inertia method the closed-form solution is obtained. A step bearing is discussed as an example.
PL
Rozważono przepływ potęgowego środka smarnego w wyciskanym filmie łożyska z porowatą wkładką. Łożysko jest modelowane dwiema krzywoliniowymi powierzchniami, a porowata wkładka przylega do zakrzywionej nieprzepuszczalnej powierzchni. Przepływ w szczelinie łożyska jest rozważony z uwzględnieniem bezwładności, a równania Naviera-Stokesa i Poissona rozwiązano wykorzystując przybliżenie Morgana-Camerona. Stosując metodę uśrednionej bezwładności uzyskano formuły określające ciśnienie i siłę nośną. Jako przykład rozważono łożysko płytkowe.
11
Content available remote Inertia effects in the curvilinear thrust bearing lubricated by a pseudo-plastic fluid of rotem-shinnar.
Ratajczak M., Walicka A., Walicki E., Ratajczak P.
Zagadnienia Eksploatacji Maszyn
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2006
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Vol. 41, nr 2
159-170
EN
In the paper, the influence of inertial effects on pressure distribution in a thrust bearing having the curvilinear outline of working spaces is discussed. Quasi-linear equations of motion incorporating inertia elements of circumferential flow of a pseudo-elastic fluid are used to solve the problem. An analytical solution of the equations of motion rendered it possible to work out a formula for the determination of pressure distribution. A flat and spherical thrust bearing is considered as an example.
PL
W artykule autorzy omawiają wpływ efektów bezwładnościowych na rozkład ciśnienia w łożysku wzdłużnym o krzywoliniowym zarysie powierzchni roboczych. Do rozwiązania zagadnienia użyto quasi-liniowych równań ruchu, zawierających składniki bezwładności przepływu obwodowego płynu pseudoplastycznego. Analityczne rozwiązania równań ruchu pozwoliły na wyznaczenie formuły określającej rozkład ciśnienia. Jako przykład rozpatrzono łożysko wzdłużne płaskie i kuliste.
12
Content available remote Flow of a couple-stress fluid in a curvilinear thrust bearing with one porous pad
Jurczak P., Walicka A., Walicki E., Michalski D.
Tribologia
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2006
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nr 3
63-75
EN
The flow of a couple stress fluid in the clearance of a curvilinear bearing with a porous pad is considered. The porous pad is connected with the upper impermeable rotating surface which approaches the lower fixed bearing surface. The Reynolds and Poisson equations are uncoupled by using the Morgan-Cameron approximation and a closed-form solution is obtained. As an example the bearing formed by two disks is discussed.
PL
W pracy rozważono przepływ płynu z naprężeniami momentowymi w krzywoliniowej szczelinie łożyska z porowatą wkładką. Porowata wkładka powiązana jest z górną nieprzepuszczalną wirującą powierzchnią, która zbliża się do dolnej nieruchomej powierzchni łożyska. Do rozwiązania równań Poissona oraz Reynoldsa wykorzystano przybliżenie Morgana-Camerona. Jako przykład rozpatrzono łożysko utworzone przez dwie kołowe tarcze.
13
Content available remote Pressure distribution in a squeeze film biobearing lubricated by a synovial fluid
Jurczak P.
International Journal of Applied Mechanics and Engineering
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2006
|
Vol. 11, no 4
857-864
EN
The flow of a synovial fluid in a squeeze film biological bearing is considered. The biobearing is modelled by two rotational surfaces and the porous layer is adheres to the curved non-porous surface. The flow in the biobearing clearance is considered with inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. As an example the biobearing modelled by two disks and two spherical surfaces is discussed.
14
Content available remote Influence of rheological parameters on the mechanical parameters of curvilinear thrust bearing with one porous wall lubricated by a couple stress fluid
Jurczak P., Walicka A., Walicki E., Michalski D.
International Journal of Applied Mechanics and Engineering
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2006
|
Vol. 11, no 2
221-233
EN
The flow of a couple stress fluid in the clearance of a curvilinear thrust bearing with a porous pad is considered. The porous pad is connected with an upper impermeable rotating surface which approaches the lower fixed bearing surface. The Reynolds and Poisson equations are uncoupled by using the Morgan-Cameron approximation and a closed-form solution is obtained. Expressions for the pressure and capacity load of the bearing are given. As an example the bearing modelled by two disks and two spherical surfaces is discussed.
15
Content available remote Inertia effects in a curvilinear squeeze film bearing with one porous wall lubricated by a power-law fluid
Walicka A., Walicki E., Jurczak P., Michalski D.
International Journal of Applied Mechanics and Engineering
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2003
|
Vol. 8, no 1
107-116
EN
The flow of a power-law lubricant in a squeeze film bearing with one porous wall is considered. The bearing is modelled by two curvilinear surfaces and the porous wall is adhered to the curved non-porous surface. The flow in the bearing clearance is considered with inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. Using the averaged inertia method the closed-form solution is obtained. A step bearing is discussed as an example.
16
Content available remote Effect of fluid inertia and wall porosity on parameters of a biobearing with squeeze film.
Walicka A., Walicki E., Jurczak P.
Zagadnienia Eksploatacji Maszyn
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2002
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Vol. 37, nr 3
145-155
EN
The flow of a Newtonian fluid in squeeze film of a biological bearing with one porous wall is considered. The bearing is modelled by two curvilinear surfaces and the porous wall is adhered to the curved non-porous surface. The flow in the bearing clearance is considered with inertia and the Navier-Stokes and Poisson equations are uncoupled by using the Morgan-Cameron approximation. Using the averaged inertia method the closed-form solution is obtained. Step and spherical bearings are discussed as examples.
PL
Rozważano przepływ cieczy newtonowskiej w ściskanym filmie biologicznego łożyska z jedną porowatą ścianką. Łożysko jest modelowane przez dwie krzywoliniowe powierzchnie. Porowata ścianka przylega do krzywoliniowej nieporowatej powierzchni. Rozważony jest przepływ cieczy w przestrzeni łożyska z uwzględnieniem bezwładności. Równania Naviera-Stokesa i Poissona są rozwiązane z zastosowaniem przybliżenia Morgana-Camerona. Z wykorzystaniem metody uśredniania bezwładności zostało uzyskane rozwiązanie w formie zamkniętej. Przykładowo zostały rozpatrzone łożyska stopowe i sferyczne.
17
Content available remote Theoretical investigation of gas inertia effects on parameters of a bearing with curvilinear surfaces
Walicka A., Walicki E.
International Journal of Applied Mechanics and Engineering
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2002
|
Vol. 7, no 3
1033-1043
EN
Based on a first-order perturbation solution in a modified Reynolds number an analysis is presented to determine the effect of the inertial forces of an isothermal gas lubricant film on pressure distribution and other parameters of a bearing with curvilinear surfaces. The corrections to the pressure distribution are found to be small, but noticeable. It is also found that these corrections in the case of only rotational inertia forces are significant. Numerical results for thrust bearings with a constant film thickness are given in graphical form.
18
Content available remote Rotational inertia effect in a curvilinear bearing lubricated by generalized second grade fluids of power-law type
Walicki E., Walicka A.
International Journal of Applied Mechanics and Engineering
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2002
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Vol. 7, no 3
1045-4056
EN
The effects of centrifugal inertia forces on the pressure distribution in a curvilinear thrust bearing lubricated by a generalized second grade fluid of power-law type are examined. The examples of flows in the bearings modelled by two disks and two concentric spheres are considered. The results obtained show that fluid inertia forces have significant effects on the pressure distributions.
19
Content available remote Inertia effect on the pressure distribution in a thrust bearing lubricated by conducting and magnetic viscoelastic fluids
Walicka A.
International Journal of Applied Mechanics and Engineering
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2002
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Vol. 7, Spec. is
99-108
EN
A theoretical aspect of lubrication of a curvilinear thrust bearing by conducting and magnetic viscoelastic fluids is considered. The effects of centrifugal (rotational) inertia forces on the pressure distribution in the presence of a magnetic field, normal to the bearing surfaces, are examined. The examples of flows in the bearings modelled by two disks and two concentric spheres are discussed. The obtained results show that the fluid inertia forces and magnetic field have significant effects on the pressure distribution.
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