On hydromagnetic rotating flow of an Oldroyd-B fluid near an oscillating plate

Ghosh, A. K.; Sana, Pintu

doi:10.1007/s00033-009-8060-3

Cited by 4 publications

(3 citation statements)

References 9 publications

(13 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, such flows have wide coverage on the development of energy generation and in astrophysical and geophysical fluid dynamics. The academic workers and engineers are very much interested in the geometry of such types of flows [6,17]. The literature about motion under translating or rotating cylinders for non-Newtonian fluids is not so well organized, but some interesting studies of such types of fluid flows are given by Jamil et al [8,9], Kamran et al [10,11], and Mahmood et al [14,15].…”

Section: Introductionmentioning

confidence: 99%

Study of velocity and shear stress for unsteady flow of incompressible Oldroyd-B fluid between two concentric rotating circular cylinders

Ullah¹,

Tanveer²,

Bajwa³

2019

Hacettepe Journal of Mathematics and Statistics

View full text Add to dashboard Cite

This investigation deals with the study of unsteady flow of incompressible Oldroyd-B fluid between two rotating circular cylinders, both cylinders are rotating around their common axis (r = 0). The governing differential equations are formulated with appropriate boundary conditions and then solved by means of Laplace and Hankel transforms to obtain velocity and shear stress for unsteady flow of Oldroyd-B fluid between two infinite concentric rotating circular cylinders. The obtained solutions can easily be reduced to equivalent solutions for Maxwell and classical Newtonian fluids. Finally, the influence of different physical parameters on the fluid velocity and shear stress is graphically underlined and discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Study of velocity and shear stress for unsteady flow of incompressible Oldroyd-B fluid between two concentric rotating circular cylinders

Ullah¹,

Tanveer²,

Bajwa³

2019

Hacettepe Journal of Mathematics and Statistics

View full text Add to dashboard Cite

show abstract

“…Tong et al [14] obtained exact solutions for the unsteady rotational flow of a non-Newtonian fluid in an annular pipe. Most recently, Ghosh et al [15][16][17] solved some problems associated with the flow of an Oldroyd-B fluid which are (i) Hydromagnetic flow of an Oldroyd-B fluid near a pulsating plate, (ii) Hydromagnetic channel flow of an Oldroyd-B fluid induced by tooth pulses and (iii) Hydromagnetic rotating flow of an Oldroyd-B fluid near an oscillating plate. In the present paper, we intend to construct solution of an unsteady hydromagnetic flow of an Oldroyd-B fluid between two oscillating plates with a view to its applications in the analysis of viscoelastic boundary layers, spreading of protective coating on electronic and optical devices and in the detection of magnetic effect on electrically conducting flows of biological and geophysical fluids.…”

Section: Introductionmentioning

confidence: 99%

On Hydromagnetic Flow of an Oldroyd-B Fluid Between Two Oscillating Plates

Ghosh

Datta

Sen

2015

Int. J. Appl. Comput. Math

View full text Add to dashboard Cite

An initial value investigation is made of the motion of an incompressible, viscoelastic, electrically conducting Oldroyd-B fluid bounded by two infinite rigid nonconducting plates. The flow is generated impulsively from rest in the fluid due to rectilinear oscillations of given frequencies superimposed on the plates in their own planes in presence of an external magnetic field acting transversely to the plates. The operational method is used to derive exact solutions for the fluid velocity and the shear stress on the walls. The quantitative evaluation of the results is considered when two plates oscillate in phase but with different frequencies. The results are shown graphically for different time periods of oscillations of the plates which represent the cases: (i) the lower plate oscillates with a time period less than the upper, (ii) both the plates oscillate with the same time period and (iii) the lower plate oscillates with a time period grater than the upper. It is seen that the effect of fluid elasticity on the flow depends on the advancing and retarding motion of the plates. On the other hand, the magnetic field damps the fluid motion for all values of the time period of oscillations of the plates. The drag on the plates, for small and large time, are shown graphically when the time period of oscillation of the lower plate is small. For small values of time, the drag on the lower plate is negative with the amplitude decreasing continuously till the oscillations occur from moderately large values of time. Similar phenomenon also occurs for the drag which is positive at the upper plate for small values of time. In all cases, the amount of drag on the plates increases with the increase of the elasticity of the fluid and the magnetic field. Some particular results for the fluid velocity are derived as special cases of the present solution.

show abstract

“…Javadzadegan et al [17] discussed the pulsatile flow of viscous and viscoelastic fluids in constricted tubes with a view to analyse the viscoelastic behaviour of blood using the Oldroyd-B fluid model. Most recently, Ghosh and Sana [18] presented solutions of hydromagnetic rotating flow of an Oldroyd-B fluid near an oscillating plate. In the present paper, we intend to construct solution of hydromagnetic flow of an Oldroyd-B fluid near an infinite plate induced by half rectified sine pulses with a view to its application in more generalised physical situations.…”

Section: Introductionmentioning

confidence: 99%

A Note on Hydromagnetic Flow of an Oldroyd-B Fluid near an Infinite Plate Induced by Half Rectified Sine Pulses

Ghosh¹,

Datta²,

Sen³

2014

OJFD

View full text Add to dashboard Cite

An initial value problem concerning the motion of an incompressible, electrically conducting, viscoelastic Oldroyd-B fluid bounded by an infinite rigid non-conducting plate is solved. The unsteady motion is generated impulsively from rest in the fluid due to half rectified sine pulses subjected on the plate in its own plane in presence of an external magnetic field. It is assumed that no external electric field is acting on the system and the magnetic Reynolds number is very small. The operational method is used to obtain exact solutions for the fluid velocity and the shear stress on the wall. Quantitative analysis of the results is presented with a view to disclose the simultaneous effects of the external magnetic field and the fluid elasticity on the flow and the wall shear stress for different periods of pulsation of the plate. It is also shown that the classical and hydromagnetic Rayleigh solutions appear as the limiting cases of the present analysis.

show abstract

On hydromagnetic rotating flow of an Oldroyd-B fluid near an oscillating plate

Cited by 4 publications

References 9 publications

Study of velocity and shear stress for unsteady flow of incompressible Oldroyd-B fluid between two concentric rotating circular cylinders

Study of velocity and shear stress for unsteady flow of incompressible Oldroyd-B fluid between two concentric rotating circular cylinders

On Hydromagnetic Flow of an Oldroyd-B Fluid Between Two Oscillating Plates

A Note on Hydromagnetic Flow of an Oldroyd-B Fluid near an Infinite Plate Induced by Half Rectified Sine Pulses

Contact Info

Product

Resources

About