Object
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
Creator:
Bhadauria, Beer Singh ; Singh, Manoj Kumar ; Singh, Ajay ; Singh, Brajesh Kumar ; Kiran, Palle
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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
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Source:
IJAME, volume 21, number 4 (2016)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2016)
Last modified:
Jul 6, 2023
In our library since:
Apr 11, 2023
Number of object content hits:
26
All available object's versions:
https://www.zbc.uz.zgora.pl/publication/80572
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 1 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 2 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 3 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 4 (2016)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 21, number 4 (2016) - spis treści
- 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
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