Longitudinal and torsional oscillations of a rod in a third-grade fluid

Bandelli, R.; Lapczyk, I.; Li, H.

doi:10.1016/0020-7462(94)90010-8

Cited by 9 publications

(3 citation statements)

References 10 publications

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“…These solutions have already been extended to Oldroyd-B fluids by Rajagopal and Bhatnagar [29]. Bandelli et al [3] developed numerical solution corresponding to the same problem for a third grade fluid. More recently, Fetecau and Fetecau [11] made an analytic study for the starting solutions of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder.…”

Section: Introductionmentioning

confidence: 90%

Fluctuating flow of a Maxwell fluid past a porous plate with variable suction

Wang

Hayat

2008

Nonlinear Analysis: Real World Applications

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Section: Introductionmentioning

confidence: 90%

Fluctuating flow of a Maxwell fluid past a porous plate with variable suction

Wang

Hayat

2008

Nonlinear Analysis: Real World Applications

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“…Ramkissoon et al [10] have examined a polar fluid by using transform methods and they have presented the effect of micropolar parameters on the microrotation and velocity fields graphically. Bandelli et al [11] studied the flow of third grade fluid. Rajagopal and Bhatnagar [12] presented two simple but elegant solutions for the flow of an Oldroyd-B fluid.…”

Section: Introductionmentioning

confidence: 99%

Unsteady flow of a micropolar fluid generated by a circular cylinder subject to longitudinal and torsional oscillations

Nagaraju

Ramana

2014

Theor appl mech (Belgr)

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The flow generated by a circular cylinder, performing longitudinal and torsional oscillations, in an infinite expanse of a micropolar fluid is studied. Analytical expressions for the velocity and micro rotation components are obtained using no slip and hyper stick conditions at the boundaries. The effects of coupling number; Reynolds number and gyration parameter on the transverse and axial velocity components are shown and explained graphically. Also explicit expression for the drag force acting on the wall of the cylinder is derived and the effects of pertinent parameters on the drag are shown graphically.

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“…With this in view, the model in the present paper is a third-grade fluid one. Related studies are in [3,9,28].…”

Section: Introductionmentioning

confidence: 99%

The flow of a non‐Newtonian fluid induced due to the oscillations of a porous plate

Asghar

Mohyuddin

Hayat

et al. 2004

Mathematical Problems in Engineering

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An analytic solution of the flow of a third-grade fluid on a porous plate is constructed. The porous plate is executing oscillations in its own plane with superimposed injection or suction. An increasing or decreasing velocity amplitude of the oscillating porous plate is also examined. It is also shown that in case of third-grade fluid, a combination of suction/injection and decreasing/increasing velocity amplitude is possible as well. Several limiting situations with their implications are given and discussed.

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Longitudinal and torsional oscillations of a rod in a third-grade fluid

Cited by 9 publications

References 10 publications

Fluctuating flow of a Maxwell fluid past a porous plate with variable suction

Fluctuating flow of a Maxwell fluid past a porous plate with variable suction

Unsteady flow of a micropolar fluid generated by a circular cylinder subject to longitudinal and torsional oscillations

The flow of a non‐Newtonian fluid induced due to the oscillations of a porous plate

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