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1
Content available Towards to efficiency maximum within a pressure increasing process
Puzyrewski R.
Transactions of the Institute of Fluid-Flow Machinery
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2014
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nr 126
153--168
EN
The article presents a mathematical description of compression process in a pump and an original concept to increase efficiency in this process.
2
Content available Mathematical Modeling and Numerical Analysis of Nonstationary Plane-Parallel Flows of Viscous Incompressible Fluid by R-Functions and Galerkin Method
Artyukh A., Sidorov M.
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
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2014
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Vol. 3, No 3
3-11
EN
This paper is dedicated to nonstationary plane-parallel flows of viscous incompressible fluid in finite simply connected domains. Theorem of the solution uniqueness is presented. The method of successive approximation, the Galerkin method and the R-functions method are used to obtain the numerical solution, which was tested on the problem with known solution.
3
Content available remote Correction factors in one-dimensional flow pattern of a viscous incompressible fluid in a smooth circular pipe
Szewczyk H.
Chemical and Process Engineering
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2008
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Vol. 29, z. 1
271-292
EN
Explicit dependences of correction factors of kinetic energy [alfa] (Re) and momentum [beta] (Re) as well as the relations of the average velocity to maximum velocity [Pi] (Re) and the average velocity in a pipe crosssection to the average velocity lengthwise pipe radius (Re) in a long pipe (Re < 36x10[6] is the Reynolds number) have been determined. The essential departures from the recognised values of the factors, otherwise known only for Re [delta] 3.24x10[6], were found. Furthermore, it was found that the radius r1, on which the local velocity equals average velocity, has the value given by ISO 7145-1982(E) standard, however only for Re > 25x10[3], and not for Re > 10x10[3].
PL
Wyznaczono jawne zależności współczynników korekcyjnych energii kinetycznej [alfa] (Re) i pędu [beta] (Re) oraz stosunki prędkości średniej do prędkości maksymalnej [Pi] (Re) oraz prędkości średniej w przekroju poprzecznym rury do prędkości średniej wzdłuż promienia rury (Re) w długiej rurze (Re < 36x10[6] to liczba Reynoldsa). Wykryto odstępstwa od dotychczas uznawanych wartości tych współczynników znanych dotychczas tylko dla Re [delta].3,24x106. Stwierdzono, że promień r1, na którym prędkość miejscowa jest równa prędkości średniej, ma wartość podawaną przez normę ISO 7145-1982(E), ale dopiero dla Re > 25x10[3], nie zaś dla Re > 10x10[3].
4
Content available remote Exact solutions for unsteady incompressible viscous fluid flows
Jamil M., Ahmed F., Khan N. A.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 4
975-988
EN
Two-dimensional, unsteady, laminar equations of motions of an incompressible fluid with variable viscosity are considered. The problem investigated is the flow for which the vorticity distribution is proportional to the stream function perturbed by a generalized uniform stream making an angle with the positive x-axis. Employing transformation variables, the goveming Navier-Stocks Equations (NSE) are transformed into steady state equations and then simple ordinary differential equations and a class of exact solutions are obtained. Several graphs of physical interest of streamline are also displayed and discussed.
5
Content available remote Asymptotic solution for laminar flow of an incompressible fluid with variable viscosity and thermal conductivity between rotating surfaces of revolution
Walicka A.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 3
831-848
EN
A steady laminar flow of an incompressible Newtonian fluid with variable viscosity and thermal conductivity is considered, in a narrow space between two surfaces of revolution, rotating with generally different angular velocities about a common axis of symmetry. The problem statement for two classes of throughflow, with full and rotational inertia, is fonnulated. A procedure for perturbing a creeping flow solution and an iteration scheme are developed to produce a solution for higher approximations. The solution depends on eight or seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for second class of throughflow are presented for the velocity components, the pressure and the temperature distributions for typical shapes of surfaces as disks and spherical surfaces.
6
Content available remote Flow through porous media induced by an impervious rotating disk in the presence of magnetic field
Sharma P. K., Chaudhary R. C.
Engineering Transactions
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2005
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Vol. 53, iss. 1
43-53
EN
The flow of an electrically conducting viscous incompressible fluid, due to an infinite impervious rotating disk bounded by porous medium is discussed. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium - by Brinkman equations. A uniform magnetic field is applied in the direction normal to flow. At the interface (porous medium - clear fluid boundary), a modified set of boundary conditions is applied. Analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.
7
Content available remote Exact solutions to an incompressible second-grade fluid flow equations
Naeem R. K., Zia S. S.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no 1
71-85
EN
Employing complex variables and complex functions the exact solutions to equations governing the motion of an incompressible second-grade fluid are determined.
8
Content available remote A class of exact solutions to equations governing the steady plane flows of an incompressible fluid of variable viscosity via von Mises variables
Naeem R. K., Ali S. A.
International Journal of Applied Mechanics and Engineering
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2001
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Vol. 6, no 2
395-436
EN
A class to exact solutions of equations governing the steady plane flows of an incompressible fluid of variable viscosity are determined using von ? Mises variables. Applications of some of the solutions to the boundary value problems are also indicated.
9
Content available Some remarks on the concept of stream tubes for numerical simulations of complex fluid flows - applications
Clermont J., Normandin M., Radu D.
Control and Cybernetics
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2000
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Vol. 29, no 2
535-553
EN
This paper presents new theoretical elements for numerical simulation of two- and three-dimensional flows, based on the concept of streamlines and domain decomposition. The so-called "stream-tube method", considered previously particularly for flows inolving open streamlines, is extended to general streamline comfigurations. It is shown how local transformation functions may be defined in order to simulate flows of complex fluids, notably those requiring evaluation of particle time history. The specific features (for example : mass conservation, simplicity in handling time-dependent constitutive equations) of the stream-tube methods previously investigated numerically are still preserved in the new formulation. An example of calculations is given in the case of the two-dimensional flow of a Newtonian fluid between two eccentric cylinders where results are found to be consistent with literature data.
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