Nonsteady shear flow of micropolar fluids

Mizukami, Akira

doi:10.1016/0020-7225(81)90051-3

Cited by 5 publications

(3 citation statements)

References 9 publications

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“…Further, it is assumed that due to the fluid-solid interaction at both boundaries, the microstructure does not rotate relative to the catheter surface as well as relative to the elastic boundary, [11] which gives…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube

Muthu

Kumar

Chandra

2003

Archive of Applied Mechanics (Ingenieur Archiv)

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Oscillatory flow of a micropolar fluid in an annular tube is investigated. The outer wall of the tube is taken to be elastic and the variation in the diameter of the elastic wall due to pulsatile nature of pressure gradient is assumed to be small. The wall motion is governed by a tube law. The nonlinear equations governing the fluid flow and the tube law are solved using perturbation analysis. The steady-streaming phenomenon due to the interaction of convected inertia with viscous effects is studied. The analysis, is carried out for zero mean flow rate. It presents the effects of the elastic nature of the wall combined with micropolar fluid parameters on the mean pressure gradient and wall shear stress for different catheter sizes and frequency parameters. It is found that the effect of micropolarity is of considerable importance for small steady-streaming Reynolds number. Also, it is observed that the relationship between mean pressure gradient and the flow rate depends on the amplitude of the diameter variation, flow rate waveforms and the phase difference between them.

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Section: Formulation Of the Problemmentioning

confidence: 99%

Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube

Muthu

Kumar

Chandra

2003

Archive of Applied Mechanics (Ingenieur Archiv)

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“…The shear flow of a micropolar fluid contained between two parallel plates was studied by Mizukami in Ref. [13]. Łukaszewicz [14] studied the long time behavior of 2D micropolar fluid flows.…”

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confidence: 99%

Exact solution for the unsteady flow of a semi-infinite micropolar fluid

2011

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The unsteady motion of an incompressible micropolar fluid filling a half-space bounded by a horizontal infinite plate that started to move suddenly is considered. Laplace transform techniques are used. The solution in the Laplace transform domain is obtained by using a direct approach. The inverse Laplace transforms are obtained in an exact manner using the complex inversion formula of the transform together with contour integration techniques. The solution in the case of classical viscous fluids is recovered as a special case of this work when the micropolarity coefficient is assumed to be zero. Numerical computations are carried out and represented graphically.

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“…The field equations for an incompressible micropolar fluid flow in the absence of the body forces and body couples are given in the vectorial form as (see [34][35][36][37] It is assumed that the physical properties of the micropolar fluid are constant.…”

Section: Basic Equationsmentioning

confidence: 99%

Unsteady three‐dimensional boundary layer flow due to a stretching surface in a micropolar fluid

Ahmad

Ishak

Pop

2011

Numerical Methods in Fluids

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SUMMARY In this paper, the unsteady three‐dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite‐difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady‐state flow to final steady‐state flow in the whole spatial region. The equations for the initial unsteady‐state flow are also solved analytically. It is found that there is a smooth transition from the small‐time solution to the large‐time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented. Copyright © 2011 John Wiley & Sons, Ltd.

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Nonsteady shear flow of micropolar fluids

Cited by 5 publications

References 9 publications

Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube

Effect of elastic wall motion on oscillatory flow of micropolar fluid in an annular tube

Exact solution for the unsteady flow of a semi-infinite micropolar fluid

Unsteady three‐dimensional boundary layer flow due to a stretching surface in a micropolar fluid

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