On hydromagnetic channel flow of an Oldroyd-B fluid induced by rectified sine pulses

Ghosh, A. K.; Sana, Pintu

doi:10.1590/s1807-03022009000300006

Cited by 15 publications

(12 citation statements)

References 15 publications

(7 reference statements)

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“…Ghosh and Sana [ 12 ] analyzed hydromagnetic flow of an Oldroyd-B fluid near a pulsating plate. In subsequent papers, Ghosh and Sana [ 13 ] and Gosh et al [ 14 ] discussed the unsteady flow of electrically conducting Oldroyd-B fluid induced by rectified sine pulses and half rectified sine pulses. Khan and Zeeshan [ 15 ] extended the work of Gosh and Sana [ 12 ] by taking the Oldroyd-B fluid into a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

et al. 2015

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This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient techniques namely the Optimal Homotopy Asymptotic Method (OHAM) and Homotopy Perturbation Method (HPM). Both of these solutions are presented graphically and compared. This comparison is also shown in tabular form. An excellent agreement is observed. The effects of various physical parameters on velocity have also been studied graphically.

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Section: Introductionmentioning

confidence: 99%

Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

et al. 2015

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“…Analytical expressions for the fluid velocity field is obtained making use of Laplace transform domain. A similar type of problem in which the upper plate started impulsively from rest with velocity tooth pulses subjected on the upper plate with the lower plate kept stationary has already been solved in Ghosh et al [22].…”

Section: Discussionmentioning

confidence: 92%

Run-up Flow of Oldroyd-B Fluid through a Parallel plate channel

Krishna¹,

Qadri²

2016

IOSR

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“…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

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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.

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On hydromagnetic channel flow of an Oldroyd-B fluid induced by rectified sine pulses

Cited by 15 publications

References 15 publications

Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

Run-up Flow of Oldroyd-B Fluid through a Parallel plate channel

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

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