Object structure

Creator:

Bhadauria, Beer Singh ; Singh, Manoj Kumar ; Singh, Ajay ; Singh, Brajesh Kumar ; Kiran, Palle

Contributor:

Jurczak, Paweł - red.

Title:

Stability analysis and internal heating effect on oscillatory convection in a viscoelastic fluid saturated porous medium under gravity modulation from the history of conferences on the machine and mechanism science

Group publication title:

IJAME, volume 21 (2016)

Subject and Keywords:

Non-linear stability analysis ; complex Ginzburg-Landau equation ; gravity modulation ; internal heating ; bifurcations

Abstract:

In this paper, we investigate the combined effect of internal heating and time periodic gravity modulation in a viscoelastic fluid saturated porous medium by reducing the problem into a complex non-autonomous Ginzgburg-Landau equation. Weak nonlinear stability analysis has been performed by using power series expansion in terms of the amplitude of gravity modulation, which is assumed to be small. The Nusselt number is obtained in terms of the amplitude for oscillatory mode of convection. ; The influence of viscoelastic parameters on heat transfer has been discussed. Gravity modulation is found to have a destabilizing effect at low frequencies and a stabilizing effect at high frequencies. Finally, it is found that overstability advances the onset of convection, more with internal heating. The conditions for which the complex Ginzgburg-Landau equation undergoes Hopf bifurcation and the amplitude equation undergoes supercritical pitchfork bifurcation are studied.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2016

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.1515/ijame-2016-0046

Pages:

785-803

Source:

IJAME, volume 21, number 4 (2016)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

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Rights:

Biblioteka Uniwersytetu Zielonogórskiego