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1
Content available remote Inertia effects in a porous squeeze film bearing lubricated by a Bingham fluid
Walicka A., Walicki E., Jurczak P.
International Journal of Applied Mechanics and Engineering
|
2012
|
Vol. 17, no. 3
1027-1038
EN
The influence of inertia and wall porosity on the pressure distribution in a curvilinear squeeze film bearing lubricated by a viscoplastic fluid of a Bingham type is considered. The general consideration on the flow of the viscoplastic fluid in a bearing clearance and in a porous layer are presented. Using the Morgan-Cameron approximation and an averaged inertia method the modified Reynolds equation for the curvilinear thrust bearing is given. The solution of this equation for the case of the squeeze film bearing is presented. As a result one obtains a formula expressing the pressure distribution. The example of a squeeze film between parallel disks is discussed in detail.
2
Content available Effects of inertia in the steady state pressurised flow of a non-Newtonian fluid between two curvilinear surfaces of revolution: Rabinowitsch fluid model
Singh U. P., Gupta R.S., Kapur V.K.
Chemical and Process Engineering
|
2011
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Vol. 32, nr 4
333-349
EN
In many practical situations fluids are normally blended with additives (viscosity index improvers, viscosity thickeners, viscosity thinners) due to which they show pseudoplastic and dilatant nature which can be modelled as cubic stress model (Rabinowitsch model). The cubic stress model for pseudoplastic fluids is adopted because Wada and Hayashi have shown that the theoretical results with this model are in good agreement with the experimental results. The present theoretical analysis is to investigate the pseudoplastic effect along with the effect of rotational inertia on the pressure distribution, frictional torque and fluid flow rate of externally pressurised flow in narrow clearance between two curvilinear surfaces of revolution. The expression for pressure has been derived using energy integral approach. To analyse and discuss the effects of pseudoplasticity and fluid inertia on the pressure distribution, fluid flow rate and frictional torque, the examples of externally pressurised flow in the clearance between parallel disks and concentric spherical surfaces have been considered.
3
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
|
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.
4
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
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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.
5
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.
6
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.
7
Efekty bezwładnościowe w przepływie zawiesiny opisanej modelem płynu z naprężeniami momentowymi przez kanał z porowatą wkładką
Jurczak P., Walicka A., Walicki E., Michalski D.
Inżynieria i Aparatura Chemiczna
|
2006
|
Nr 6s
101-103
EN
The flow of couple stress fluid in the clearance of a curvilinear channel with the porous pad was considered. The porous pad was connected with the upper impermeable rotating surface approaching the lower fixed channel surface. The Reynolds and Poisson equations were uncoupled using the Morgan-Cameran approximation and closed-form solution was obtained, As an example the channel formed by two disks was discussed.
8
Badania teoretyczne nad przepływem zawiesiny opisanej modelem potęgowym w krzywoliniowym kanale z porowatą wkładką
Jurczak P., Walicka A., Walicki E., Michalski D.
Inżynieria i Aparatura Chemiczna
|
2006
|
Nr 6s
99-101
EN
Inertia effects in the flow of suspension modelled as a power-law fluid in a curvilinear squeeze film channel with the porous pad were considered. The analysis was based on the assumption that the porous pad consisted of a system of capillaries of very small radii, which allowed the use of the Darcy law and the Mor-gan-Cameron approximation for the flow in the porous pad. A spherical channel was discussed as an example.
9
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.
10
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
|
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.
11
Content available remote Influence of inertia and viscoelasticity on the flow of a generalized second grade fluid of a power-law type between two fixed surfaces of revolution
Ratajczak P., Walicki E., Walicka A.
International Journal of Applied Mechanics and Engineering
|
2005
|
Vol. 10, no spec
55-62
EN
The fully developed steady laminar flow of a generalized second grade fluid of a power-law type through a narrow space between two fixed surfaces of revolution, having a common axis of symmetry, is considered. One obtained the solution of this problem using the boundary layer equations expressed for axially symmetric case in a curvilinear orthogonal coordinate system connected with one of the surfaces. The method of averaging inertia and viscoelastic terms is used to find the formula expressing the pressure distribution in a clearance between fixed surfaces of revolution.
12
Content available remote Performance of a thrust bearing lubricated by a Bingham ferromagnetic lubricant
Walicka A., Wilewski B.
International Journal of Applied Mechanics and Engineering
|
2004
|
Vol. 9, no spec.
345-352
EN
The effects of centrifugal inertia forces on the pressure distribution in the curvilinear thrust bearing lubricated by a ferromagnetic viscoplastic lubricant of a Bingham type are examined. The examples of flows in the bearing modelled by and two concentric spheres are considered. The results obtained show that ferrofluid inertia forces and magnetization have significant effects on the pressure distributions and on the load-capacity.
13
Content available remote Inertia effect in the curvilinear thrust bearing lubricated by a power-law ferrofluid
Walicka A., Wilewski B.
International Journal of Applied Mechanics and Engineering
|
2004
|
Vol. 9, no spec.
337-344
EN
The effects of centrifugal inertia forces on the pressure distribution in the curvilinear thrust bearing lubricated by a power-law ferrofluid are examined. The examples of flows in the bearings modelled by two disks and two concentric spheres are considered. The results obtained show that ferrofluid inertia forces and magnetization have significant effects on the pressure distributions.
14
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
|
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.
15
Content available remote Inertia effect in a flow of a generalized second grade fluid of a power-law type between two fixed surfaces of revolution
Walicka A., Walicki E.
International Journal of Applied Mechanics and Engineering
|
2003
|
Vol. 8, no spec.
187-194
EN
The steady laminar flow of a generalized second grade fluid of a power-law type through a narrow space between two fixed surfaces of revolution, having a common axis of symmetry, is considered. To solve this problem the boundary layer equations are used and expressed for axially symmetric case in a curvilinear orthogonal coordinate system connected with one of the surfaces. The method of averaging inertia and viscoelastic terms is used to solve the formula expressing the pressure distribution in a gap between fixed surfaces of revolution.
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
|
2002
|
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 Effect of lubricant inertia and wall conductance on the pressure distribution in MHD thrust bearings
Walicki E., Walicka A.
Tribologia
|
2002
|
nr 6
1691-1701
EN
Steady laminar MHD flow of a viscous Newtonian fluid in the bearing clearance modelled by two co-axial surfaces of revolution is considered. To solve this problem the MHD thin layer equations are used and exspressed in the curvilinear orthogonal coordinate system x, ..., y. The influence of wall conductance and inertia of rotating fluid on the flow field is analyzed.
PL
Rozważono ciągły magnetohydrodynamiczny (MHD) przepływ laminarny lepkiej cieczy newtonowskiej w szczelinie łożyska modelowanej przez dwie współosiowe powierzchnie. Przy rozwiązaniu problemu wykorzystano równania dla cienkiej warstwy MHD i wyrażono je w krzywoliniowym układzie współrzędnych x, u, y. Przeprowadzono analizę wpływu przewodności ścianki oraz bezwładności obracającego się płynu na pole przepływu.
18
Content available remote Mechanical parameters of a multilobe conical bearing with ferromagnetic lubricant
Walicki E., Walicka A., Jurczak P., Michalski D.
International Journal of Applied Mechanics and Engineering
|
2002
|
Vol. 7, Spec. is
119-126
EN
In this paper the authors present a solution to the problem of an inertia effect of ferromagnetic lubricant flow in a multilobe conical bearing. The problem was solved by Galerkin's method after assuming that the bearing is lubricated with an incompressible Newtonian lubricant. The general form of solutions for pressure distribution and axial load for particular cases of the bearing geometry are given
19
Performance of a multilobe conical bearing lubricated by an incompressible Newtonian fluid
Walicki E., Walicka A., Rossa R.
Applied Mechanics and Engineering
|
1999
|
Vol. 4, no spec.
89-98
EN
In the presented paper the authors provide a solution to the problem of an inertia effect of lubricant flow in a multilobe conical bearing. The problem was solved by Galerkin's method after assuming that the bearing was lubricated with an incompressible Newtonian fluid. General form of solutions for particular cases of the bearing geometry are given.
20
Interia effect in the squeeze film of a couple-stress fluid in biological bearings
Walicki E., Walicka A.
Applied Mechanics and Engineering
|
1999
|
Vol. 4, no 2
363-373
EN
Couple-stresses affect lubrication problem when additives are used or lubricant contains long-chain molecules. Such couple-stresses may have a considerable effect on the behaviour of bearings in practice. The influence of couple-stress and lubricant inertia on mechanical parameters of the curvilinear thrust bearing with squeeze film is considered. The simulation of the squeeze-film behaviour of a human joint modelled as a spherical bearing is discusses as an example. It is shown that the influence of couple-stresses on the characteristics of the discussed bearing is considerable but the inertia effect is significant and not negligible. Both the effects - couple-stress and inertia - provide an enhancement in the pressure distribution and in the load-carrying capacity.
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