- Tytuł:
- Stability analysis and internal heating effect on oscillatory convection in a viscoelastic fluid saturated porous medium under gravity modulation
- Autorzy:
-
Bhadauria, B. S.
Singh, M. K.
Singh, A.
Singh, B. K.
Kiran, P. - Powiązania:
- https://bibliotekanauki.pl/articles/265014.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
analiza stabilności
grawitacja
ciecz lepkosprężysta
nonlinear stability analysis
complex Ginzburg-Landau equation
gravity modulation
internal heating
bifurcation - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2016, 21, 4; 785-803
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki
Artykuł