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1
Content available Flows of Newtonian and power-law fluids in symmetrically corrugated cappilary fissures and tubes
Walicka A.
International Journal of Applied Mechanics and Engineering
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2018
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Vol. 23, no. 1
187--211
EN
In this paper, an analytical method for deriving the relationships between the pressure drop and the volumetric flow rate in laminar flow regimes of Newtonian and power-law fluids through symmetrically corrugated capillary fissures and tubes is presented. This method, which is general with regard to fluid and capillary shape, can also be used as a foundation for different fluids, fissures and tubes. It can also be a good base for numerical integration when analytical expressions are hard to obtain due to mathematical complexities. Five converging-diverging or diverging-converging geometrics, viz. wedge and cone, parabolic, hyperbolic, hyperbolic cosine and cosine curve, are used as examples to illustrate the application of this method. For the wedge and cone geometry the present results for the power-law fluid were compared with the results obtained by another method; this comparison indicates a good compatibility between both the results.
2
Content available Combined effects of Soret and Dufour on MHD flow of a power-law fluid over flat plate in slip flow rigime
Saritha K., Rajasekhar M. N., Reddy B. S.
International Journal of Applied Mechanics and Engineering
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2018
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Vol. 23, no. 3
689--705
EN
A numerical model is developed to study the Soret and Dufour effects on MHD boundary layer flow of a power-law fluid over a flat plate with velocity, thermal and solutal slip boundary conditions. The governing equations for momentum, energy and mass are transformed to a set of non-linear coupled ordinary differential equations by using similarity transformations. These non-linear ordinary differential equations are first linearized using a quasi-linearization technique and then solved numerically based on the implicit finite difference scheme over the entire range of physical parameters with appropriate boundary conditions. The influence of various governing parameters along with velocity, thermal and mass slip parameters on velocity, temperature and concentration fields are examined graphically. Also, the effects of slip parameters, the Soret and Dufour number on the skin friction, Nusselt number and Sherwood number are studied. Results show that the increase in the Soret number leads to a decrease in the temperature distribution and to an increase in concentration fields.
3
Content available Magneto-hydro dynamic flow and heat transfer of non-Newtonian power-law fluid over a non-linear stretching surface with viscous dissipation
Kishan N., Kavitha P.
International Journal of Applied Mechanics and Engineering
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2014
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Vol. 19, no. 2
259--273
EN
A fluid flow and heat transfer analysis of an electrically conducting non-Newtonian power law fluid flowing over a non-linear stretching surface in the presence of a transverse magnetic field taking into consideration viscous dissipation effects is investigated. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. By using quasi-linearization techniques first linearize the non linear momentum equation is linearized and then the coupled ordinary differential equations are solved numerically by an implicit finite difference scheme. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, Eckert number, velocity exponent parameter, temperature exponent parameter, modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed.
4
Content available Zmodyfikowana charakterystyka przepływowa płynu nienewtonowskiego
Melcher T
Inżynieria i Aparatura Chemiczna
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2012
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Nr 6
356-357
PL
Zaproponowano niekonwencjonalną metodę wyznaczania wskaźnika płynięcia i stałej konsystencji potęgowej cieczy nienewtonowskiej na podstawie danych doświadczalnych z zakresu turbulentnego. Dokonano transformacji wymiarowych zmiennych fizycznych sprowadzając rodzinę krzywych płynięcia do uniwersalnej, pojedynczej charakterystyki przepływowej " całym zakresie przepływu. Przeprowadzona ilościowa analiza danych : doświadczalnych potwierdziła przydatność proponowanej metody.
EN
Based on the experimental data of turbulent flow range, the unconventional method of determining the flow index and flow consistency constant of power-law, non-Newtonian fluid is proposed. The dimensional transformation of physical variables was performed, reducing a family of flow curves to the universal, single flow characteristic in a whole flow range. Performed quantitative analysis of experimental data confirmed the usefulness of proposed method.
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
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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.
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
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2009
|
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 Numerical study of non-Darcy forced convective heat transfer in a power law fluid over a stretching sheet
Prasad K. V., Datti P. S.
International Journal of Applied Mechanics and Engineering
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2009
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Vol. 14, no 2
473-488
EN
An analysis has been carried out to study the non-Darcy flow behavior and heat transfer characteristics of a non-Newtonian power law fluid over a non-isothermal stretching sheet with variable thermal conductivity and internal heat generation/absorption. Thermal conductivity is assumed to vary as a linear function of temperature. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations by a similarity transformation. The presence of non-Darcy forced convection and power law index leads to coupling and non-linearity in the boundary value problem. Because of the coupling and non-linearity, the problem has been solved numerically by the Keller box method. The computed values of horizontal velocity and temperature, boundary layer thickness are shown graphically in tables and figures. Several reported works on the problem are obtained as limiting cases of the present study. The results of the study have implications in extrusion processes and in other applications with porous media.
8
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.
9
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.
10
Wpływ efektów bezwładnościowych oraz parametrów reologicznych na rozkład ciśnienia w przepływie uogólnionego płynu drugiego rzędu typu potęgowego w zakrzywionej szczelinie
Ratajczak P., Walicka A., Walicki E., Ratajczak M.
Inżynieria i Aparatura Chemiczna
|
2006
|
Nr 6s
205-207
EN
Rheodynamics of the generalized second grade fluids in curvilinear channels with a constant gap thickness are discussed in the paper. A power-law type model of the generalized second grade fluid was assumed. Based on the analytical solutions of movement equations, dependences describing the pressure distribution were given. The influence of a modified Reynolds number and viscoelastic parameters on pressure profiles was examined. . •
11
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.
12
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.
13
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.
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