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A Uniqueness Theorem on Couple-Stress Theory of Fluids
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1983Existence and uniqueness of solution for the three-dimensional exterior problem is established by first proving a reciprocal theorem which is then used to obtain an integral representation for the velocity vector in terms of fundamental solutions for both bounded and unbounded domains. This representation then yields the uniqueness.
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Chaotic thermal convection of couple-stress fluid layer
Nonlinear Dynamics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Layek, G. C., Pati, N. C.
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Peristaltic transport of a couple-stress fluid
Rheologica Acta, 1986The problem of peristaltic transport of a couple-stress fluid has been investigated under a zero Reynolds number and long wavelength approximation. A comparison of the results with those for a Newtonian fluid model shows that the magnitude of the pressure rise under a given set of conditions is greater in the case of the couple-stress fluid.
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Slider bearings lubricated by fluids with couple stress
Wear, 1979Abstract A theoretical study is presented of infinitely long slider bearings assuming the lubricant to be an incompressible fluid with couple stress. Analytical expressions for the load capacity, frictional force and the centre of pressure are derived.
G. Ramanaiah, Priti Sarkar
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Flow of couple stress fluid through stenotic blood vessels
Journal of Biomechanics, 1985The effects of an axially symmetric mild stenosis on the flow of blood, when blood is represented by a couple stress fluid model, have been studied. It is found that, for a fixed stenosis size, the resistance to flow and wall shear stress increase as the couple stress parameter eta decreases from unity.
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Flow of couple stress fluid with variable thermal conductivity
Applied Mathematics and Mechanics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asad, S., Alsaedi, A., Hayat, T.
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Elastohydrodynamically lubricated finite line contact with couple stress fluids
Tribology International, 2013Abstract The effect of couple stress fluid on the elastohydrodynamically lubricated finite line contact is studied. Modified Reynolds equation is derived from Stokes microcontinuum theory and solved numerically using finite difference method. Owing to the finite contact analysis, the effect of couple stress fluid at the edges of the roller is ...
S.P. Chippa, M. Sarangi
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Compositional Simulation of Fluid Flow Coupled Stress-Sensitive Reservoirs
SPE Latin American and Caribbean Petroleum Engineering Conference, 2005Abstract Because of the every time higher complexity of the petroleum and gas reservoirs, their analysis have become into an intensive job that, to get a real behavior, most of then consider numerical modeling of the different phenomena inside the reservoir.Two aspects that have shown transcendental importance in reservoir fluid flow are
Yanury Benavides Bello +2 more
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Exact Solutions of Couple Stress Fluid Flows
2018Exact solutions of non-Newtonian fluid flows are very rare. In this paper, the couple stress fluid flows are considered and certain exact solutions of these flows are derived. The governing equations of motion of an incompressible steady-state couple stress fluid in the absence of body forces and body couples are considered.
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POROUS SLIDER BEARING LUBRICATED WITH COUPLE STRESS MHD FLUIDS
Transactions of the Canadian Society for Mechanical Engineering, 1994A theoretical study is presented for infinitely long porous slider bearings in general form, considering the lubricant to be an incompressible electrically conducting couple stress fluid in presence of uniform magnetic field. Analytical expressions for the pressure, load capacity, centre of pressure and frictional force are derived.
R.C. Bhattacharjee, N.C. Das
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