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1

Convective flow of hydromagnetic couple stress fluid with varying heating through vertical channel

Makhalemele C. R., Rundora L., Adesanya S. O.

International Journal of Applied Mechanics and Engineering

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2021

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Vol. 26, no. 2

107--127

EN

This article addresses the impact of magnetic field induction on the buoyancy-induced oscillatory flow of couple stress fluid with varying heating. Modelled equations for the incompressible fluid are coupled and nonlinear due to the inclusion of viscous heating and thermal effect on the fluid density. Approximate solutions are constructed and coded on a symbolic package to ease the computational complexity. Graphical representations of the symbolic solutions are presented with detailed explanations. Results of the present computation show that the effect of induced magnetic field on the oscillatory flow and heat transfer is significant and cannot be neglected.

2

Numeryczne modelowanie przepływu płynu nieściśliwego przez kryzę standardową i szczelinową

Tomaszewska B.

Zeszyty Naukowe. Mechanika / Politechnika Opolska

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2014

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z. 104

213-216

EN

This paper presents the results of numerical calculations of liquid flow through a standard and slotted orifice with an equal β ratio of 0,5. The conducted numerical calculations indicate that the standard orifice produces a larger constant pressure drop in comparison to the slotted orifice.

3

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

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.

5

Boundary integral method for an oscillatory Stokes flow past a solid particle

Kohr M., Pop I.

International Journal of Applied Mechanics and Engineering

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2003

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Vol. 8, no 4

603-620

EN

In this paper, we present a boundary integral method in order to determine the oscillatory Stokes flow due to translational or rotational oscillations of a solid particle in an unbounded viscous incompressible fluid. As an application of this method, we study both cases of small-and high-frequency oscillations. Finally, we give some numerical results in the case of transverse oscillations of a prolate spheroid.