Fluid flow due to a cylinder rolling along ground

Bhattacharyya, S. N.; Mahapatra, Sushil Kumar; Smith, F. T.

doi:10.1016/j.jfluidstructs.2004.02.003

Cited by 5 publications

(1 citation statement)

References 22 publications

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“…The resulting fluid stream function allows us to calculate the field of velocities, pressures and stresses in the fluid. These fields, however, have a singularity in the nanotube-nanoplate tangency point, which was reported in [6]. An immediate application of the exact solution to calculate the moment of viscous forces results in the divergence of the integral (3).…”

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confidence: 93%

Hydrodynamics of nanorolling

et al. 2009

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An initial stage of nanoroll formation in a hydrothermal medium is investigated -the stage of rolling of a double layer under the action of internal stresses. A critical role in the rolling process is attributed to the viscous liquid surrounding the roll. A method is proposed to calculate the liquid flow around the forming nanoroll. A calculation of the rolling process is also performed. Finally, disturbance of the liquid by the rolling nanotube is studied.

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confidence: 93%

Hydrodynamics of nanorolling

et al. 2009

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Computability and Adaptivity inCFD

Hoffman¹,

Johnson

2004

Encyclopedia of Computational Mechanics

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method constitutes a general flexible methodology for the discretization of the incompressible and compressible Navier-Stokes equations applicable to a great variety of flow problems from creeping viscous flow to slightly viscous flow, including free or moving boundaries. With continuous piecewise polynomials in space of order) and discontinuous or continuous Encyclopedia of Computational Mechanics.

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Cylinder rolling on a wall at low Reynolds numbers

Merlen

Frankiewicz

2011

J. Fluid Mech.

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The flow around a cylinder rolling or sliding on a wall was investigated analytically and numerically for small Reynolds numbers, where the flow is known to be two-dimensional and steady. Both prograde and retrograde rotation were analytically solved, in the Stokes regime, giving the values of forces and torque and a complete description of the flow. However, solving Navier–Stokes equation, a rotation of the cylinder near the wall necessarily induces a cavitation bubble in the nip if the fluid is a liquid, or compressible effects, if it is a gas. Therefore, an infinite lift force is generated, disconnecting the cylinder from the wall. The flow inside this interstice was then solved under the lubrication assumptions and fully described for a completely flooded interstice. Numerical results extend the analysis to higher Reynolds number. Finally, the effect of the upstream pressure on the onset of cavitation is studied, giving the initial location of the phenomenon and the relation between the upstream pressure and the flow rate in the interstice. It is shown that the flow in the interstice must become three-dimensional when cavitation takes place.

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Fluid flow due to a cylinder rolling along ground

Cited by 5 publications

References 22 publications

Hydrodynamics of nanorolling

Hydrodynamics of nanorolling

Computability and Adaptivity inCFD

Cylinder rolling on a wall at low Reynolds numbers

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