On a reduced load approximation for a multi-stream fluid model

In this paper we propose a model for determining the pressure loss due to friction in each phase in a three-layer laminar steady flow of immiscible liquid and gas flow in a flat channel. This model generalizes an analogous problem for a two-layer laminar flow, proposed earlier. The relations obtained in the final form for the pressure loss due to friction in liquids can be used as closing relations for the three-fluid model. These equations take into account the influence of interphase boundaries and are an alternative to the approach used in foreign literature. In this approach, the wall and interphase voltages are approximated by the formulas for a single-phase flow and do not take into account the mutual influence of liquids on the loss of pressure on friction in phases. The distribution of flow parameters in these two models is compared.

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Analysis of Nanoparticles on Peristaltic Flow of Prandtl Fluid Model in an Endoscopy

Current Nanoscience ◽

10.2174/1573413710666140322000351 ◽

2014 ◽

Vol 10 (5) ◽

pp. 709-721 ◽

Cited By ~ 12

Author(s):

S. Nadeem ◽

Hina Sadaf ◽

M. Sadiq

Keyword(s):

Fluid Model ◽

Peristaltic Flow

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On the flow of MHD generalized maxwell fluid via porous rectangular duct

Open Physics ◽

10.1515/phys-2020-0209 ◽

2020 ◽

Vol 18 (1) ◽

pp. 989-1002

Author(s):

Aamir Farooq ◽

Muhammad Kamran ◽

Yasir Bashir ◽

Hijaz Ahmad ◽

Azeem Shahzad ◽

...

Keyword(s):

Fluid Model ◽

Maxwell Fluid ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Rectangular Duct ◽

Modified Darcy’S Law ◽

Initial Boundary Value ◽

Generalized Maxwell Fluid ◽

Limiting Case ◽

The Impact

Abstract The purpose of this proposed investigation is to study unsteady magneto hydrodynamic (MHD) mixed initial-boundary value problem for incompressible fractional Maxwell fluid model via oscillatory porous rectangular duct. Considering the modified Darcy’s law, the problem is simplified by using the method of the double finite Fourier sine and Laplace transforms. As a limiting case of the general solutions, the same results can be obtained for the classical Maxwell fluid. Also, the impact of magnetic parameter, porosity of medium, and the impact of various material parameters on the velocity profile and the corresponding tangential tensions are illuminated graphically. At the end, we will give the conclusion of the whole paper.

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Effect of centre of pressure and stiffness effect of porous pivoted curved slider bearings using couple stress fluid model

10.1063/5.0025468 ◽

2020 ◽

Author(s):

Nisha ◽

A. Govindarajan

Keyword(s):

Couple Stress ◽

Fluid Model ◽

Couple Stress Fluid ◽

Centre Of Pressure ◽

Slider Bearings

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A numerical study of gravity-driven instability in strongly coupled dusty plasma. Part 1. Rayleigh–Taylor instability and buoyancy-driven instability

Journal of Plasma Physics ◽

10.1017/s0022377821000349 ◽

2021 ◽

Vol 87 (2) ◽

Author(s):

Vikram S. Dharodi ◽

Amita Das

Keyword(s):

Dusty Plasma ◽

Numerical Study ◽

Fluid Model ◽

Density Region ◽

Strongly Coupled ◽

Rising Bubble ◽

Inhomogeneous Density ◽

Gravity Driven ◽

The Individual ◽

Strongly Coupled Dusty Plasma

Rayleigh–Taylor (RT) and buoyancy-driven (BD) instabilities are driven by gravity in a fluid system with inhomogeneous density. The paper investigates these instabilities for a strongly coupled dusty plasma medium. This medium has been represented here in the framework of the generalized hydrodynamics (GHD) fluid model which treats it as a viscoelastic medium. The incompressible limit of the GHD model is considered here. The RT instability is explored both for gradual and sharp density gradients stratified against gravity. The BD instability is discussed by studying the evolution of a rising bubble (a localized low-density region) and a falling droplet (a localized high-density region) in the presence of gravity. Since both the rising bubble and falling droplet have symmetry in spatial distribution, we observe that a falling droplet process is equivalent to a rising bubble. We also find that both the gravity-driven instabilities get suppressed with increasing coupling strength of the medium. These observations have been illustrated analytically as well as by carrying out two-dimensional nonlinear simulations. Part 2 of this paper is planned to extend the present study of the individual evolution of a bubble and a droplet to their combined evolution in order to understand the interaction between them.

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