Object

Title: Weakly nonlinear oscillatory convection in a viscoelastic fluid saturated porous medium with throughflow and temperature modulation

Contributor:

Jurczak, Paweł - red.

Group publication title:

IJAME, volume 23 (2018)

Abstract:

The effect of vertical throughfow and temperature modulation on a viscoelastic fluid saturated porous medium has been investigated. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small and the disturbances are expanded in terms of power series of amplitude of convection. ; A weak nonlinear stability analysis has been performed for the oscillatory mode of convection, and heat transport in terms of the Nusselt number, which is governed by the non autonomous complex Ginzburg-Landau equation, is calculated. The effect of vertical through flow is found to stabilize the system irrespective of the direction of through flow in the case of permeable boundary conditions. The time relaxation has a destabilizing effect, while the time retardation parameter has a stabilizing effect on the system. ; The effects of amplitude and frequency of modulation on heat transport have been analyzed and depicted graphically. The study shows that the heat transport can be controlled effectively by a mechanism that is external to the system. Further, it is also found that heat transfer is more in oscillatory mode of convection rather than in stationary mode of convection.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Format:

application/pdf

Resource Identifier:

oai:zbc.uz.zgora.pl:72965

DOI:

10.2478/ijame-2018-0035

Pages:

635-653

Source:

IJAME, volume 23, number 3 (2018)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

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