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1
Content available Mechanical parameters of the curvilinear squeeze film bearing lubricated by a Gecim-Winer fluid
Walicka A., Walicki E.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 2
465--473
EN
Based upon a Gecim-Winer fluid flow model, a curvilinear squeeze film bearing is considered. The equations of motion are given in a specific coordinates system. After general considerations on the Gecim-Winer fluid flow these equations are used to derive the Reynolds equation. The solution of this equation is obtained by a method of successive approximation. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of the Gecim-Winer fluid flow in gaps of two simple bearings: radial and spherical are presented.
2
Content available Curvilinear squeeze film bearing lubricated with a DeHaven fluid or with similar fluids
Walicka A., Jurczak P., Falicki J.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 3
697--715
EN
In the paper, the model of a DeHaven fluid and some other models of non-Newtonian fluids, in which the shear strain rates are known functions of the powers of shear stresses, are considered. It was demonstrated that these models for small values of material constants can be presented in a form similar to the form of a DeHaven fluid. This common form, called a unified model of the DeHaven fluid, was used to consider a curvilinear squeeze film bearing. The equations of motion of the unified model, given in a specific coordinate system are used to derive the Reynolds equation. The solution to the Reynolds equation is obtained by a method of successive approximations. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of flows of the unified DeHaven fluid in gaps of two simple squeeze film bearings are presented.
3
Content available Pressure distribution in a porous squeeze film bearing lubricated with a Herschel-Bulkley fluid
Walicka A., Jurczak P.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 4
951--965
EN
The influence of a wall porosity on the pressure distribution in a curvilinear squeeze film bearing lubricated with a lubricant being a viscoplastic fluid of a Herschel-Bulkley type is considered. After general considerations on the flow of the viscoplastic fluid (lubricant) in a bearing clearance and in a porous layer the modified Reynolds equation for the curvilinear squeeze film bearing with a Herschel-Bulkley lubricant is given. The solution of this equation is obtained by a method of successive approximation. As a result one obtains a formula expressing the pressure distribution. The example of squeeze films in a step bearing (modeled by two parallel disks) is discussed in detail.
4
Content available Mechanical parameters of the squeeze film curvilinear bearing lubricated with a Prandtl fluid
Walicka A., Walicki E.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 4
967--978
EN
Based upon a Prandtl fluid flow model, a curvilinear squeeze film bearing is considered. The equations of motion are given in a specific coordinate system. After general considerations on the Prandtl fluid flow these equations are used to derive the Reynolds equation. The solution of this equation is obtained by a method of successive approximation. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of the Prandtl fluid flow in gaps of two simple bearings are presented.
5
Content available remote Pressure distribution in a porous squeeze film bearing lubricated by a simple Casson fluid
Walicka A., Walicki E., Jurczak P.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 3
1039-1049
EN
The influence of a wall porosity on the pressure distribution in a curvilinear squeeze film bearing lubricated by a lubricant being a viscoplastic fluid of a simple Casson type is considered. After general considerations on the flow of the viscoplastic fluid (lubricant) in a bearing clearance and in a porous layer the modified Reynolds equation for the curvilinear squeeze film bearing with a Casson lubricant is given. The solution of this equation is obtained by a method of successive approximation. As a result one obtains a formula expressing the pressure distribution. The example of squeeze film in a step bearing (modeled by two parallel disks) is discussed in detail.
6
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
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2012
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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.
7
Content available remote Pressure distribution in a porous curvilinear squeeze film bearing lubricated by a Bingham fluid
Walicka A.
International Journal of Applied Mechanics and Engineering
|
2011
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Vol. 16, no 4
1215-1224
EN
The influence of a 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 viscoplastic fluid in a bearing clearance and in a porous layer are presented. 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.
8
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
|
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.
9
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
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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.
10
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.
11
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.
12
Content available remote Effect of surface roughness on the performance of hydromagnetic squeeze film between conducting porous infinitely long rectangular plates
Vadher P. A., Deheri G. M., Patel R. M.
International Journal of Applied Mechanics and Engineering
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2008
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Vol. 13, no 2
473-498
EN
An attempt has been made to study and analyze the performance of a hydromagnetic squeeze film between conducting porous rough infinitely long rectangular plates with electrically conducting lubricant in the presence of a transverse magnetic field. The bearing surfaces are assumed to be transversely rough. The random roughness is characterized by a stochastic random variable with non zero mean, variance and skewness. The associated Reynolds' equation is then stochastically averaged with respect to the random roughness parameter. This equation is solved with appropriate boundary conditions to find the pressure distribution, which is then used to obtain the load carrying capacity. Lastly, the response time is calculated. The results are presented graphically as well as in a tabular form. It is seen that the bearing system gets affected adversely owing to transverse surface roughness. But variance (-ve) tends to increase the load carrying capacity. Also, the bearing system resists an enhanced performance due to hydromagnetization. In addition, the load carrying capacity increases considerably due to conductivity while it decreases with respect to the aspect ratio The combined effect of porosity, the aspect ratio and the standard deviation associated with roughness is substantially adverse. However, this negative effect can be compensated to some extent by hydromagnetization and conductivity in the case of negatively skewed roughness. It is also observed that the bearing with magnetic field can support a load even when there is absence of flow. This investigation makes it plain and clear that roughness must be given due consideration while designing the bearing system.
13
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
|
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.
14
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
|
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.
15
Content available remote Non-Newtonian squeeze films with slip boundary conditions
Radulescu A.V.
Tribologia
|
2006
|
nr 3
163-173
EN
The paper describes the squeeze film of the non-Newtonian fluids between two circular plates with slip boundary conditions, having as final result the pressure distribution and the load capacity.
PL
W artykule opisano wyciskaną warstwę cieczy nie-Newtonowskiej pomiędzy dwoma kolistymi dyskami, z uwzględnieniem warunków brzegowych ujmujących poślizg. Efektem rozważań jest opis rozkładu ciśnienia oraz nośności.
16
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
|
2006
|
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.
17
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.
18
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.
19
Content available remote Pressure distribution in a squeeze film biobearing lubricated by a synovial fluid
Jurczak P.
International Journal of Applied Mechanics and Engineering
|
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.
20
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.
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