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

Ghosh, A. K.; Sana, Pintu

doi:10.22364/mhd.44.3.11

Cited by 7 publications

(2 citation statements)

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“…The boundary condition used is of interest as sound waves, light waves, and ocean waves travel like the form of sawtooth pulses. Study of sawtooth pulses flows is also important because of their increasing applications in aerospace science, astrophysics, atmospheric science and physiological fluid dynamics Ghosh (2011). Moreover, a sawtooth wave has strong electromagnetic properties.…”

Section: Introductionmentioning

confidence: 99%

Flow of Generalized Burgers' Fluid between Side Walls Induced by Sawtooth Pulses Stress

Sultan

Nazar

2016

JAFM

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This paper presents the unsteady magnetohydrodynamic (MHD) flow of a generalized Burgers' fluid between two parallel side walls perpendicular to a plate. The flow is generated from rest at time 0 t   induced by sawtooth pulses stress applied to the bottom plate. The solutions obtained by means of the Laplace and the Fourier cosine and sine transforms in this order are presented as a sum between the corresponding Newtonian and non-Newtonian contributions. We investigate the effect of magnetic field and permeability on the fluid motion by a numerical procedure for the inverse Laplace transform, namely Stehfest's algorithm. Moreover, the influence of side walls on the fluid motion, the effect of pulse period, magnetic and porosity parameters and material parameters is presented by graphical illustrations.

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Section: Introductionmentioning

confidence: 99%

Flow of Generalized Burgers' Fluid between Side Walls Induced by Sawtooth Pulses Stress

Sultan

Nazar

2016

JAFM

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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%

Untitled

2016

IOSR

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In this paper, we consider the unsteady hydrodynamic flow of an incompressible Oldroyd-B fluid in a parallel plate channel, initially induced by a constant pressure gradient. The pressure gradient is suddenly withdrawn and the upper plate moves with a uniform velocity while the lower plate continues to be at rest. The arising flow is referred to as run up flow. The unsteady governing equations are solved as initial value problem using Laplace transform technique. The expressions for velocity, shear stresses on both plates and discharge are obtained. The behaviour of the velocity, shear stresses and mass flux has been discussed in detail with respect to variations in different governing flow parameters and is presented through graphs.

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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 tooth pulses

Cited by 7 publications

References 0 publications

Flow of Generalized Burgers' Fluid between Side Walls Induced by Sawtooth Pulses Stress

Flow of Generalized Burgers' Fluid between Side Walls Induced by Sawtooth Pulses Stress

Untitled

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

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