Oscillatory nonlinear thermal instability in nanoliquid under gravity modulation within Hele-Shaw cell

Author:

Kiran Palle1ORCID

Affiliation:

1. Department of Mathematics , Chaitanya Bharathi Institute of Technology , Hyderabad , Telangana , 500075 , India

Abstract

Abstract The effect of gravity-field modulation is investigated in a nano liquid-confined Hele-Shaw cell. This study aims to finish the work described in (S. N. Rai, B. S. Bhadauria, K. Anish, and B. K. Singh, “Thermal instability in nanoliquid under four types of magnetic-field modulation within Hele-Shaw cell,” Int. J. Heat Mass Transfer, vol. 145, no. 7, p. 072501, 2023) for oscillatory convection. The existence of the complex Ginzburg-Landau equation (CGLE) model is constrained by the requirement ω 2 > 0. The magnetic fluxes in the Hele-shaw cell are governed by CGLE with g-jitter. The quantity of heat-mass transfer is examined in the presence of a g-jitter. In addition, the findings of our research on transport analysis indicate that oscillatory mode is preferable to stationary mode. It is also found that the gravity-driven Hele-Shaw layer has lower transport properties. Further, the transport analysis is compared to previous research and shown to have improved results.

Publisher

Walter de Gruyter GmbH

Reference49 articles.

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2. H. Bénard, “Les tourbillons cellulaires dans une nappe liquide [cellular vortices in a sheet of liquid],” Rev. Gen. Sci. Pures Appl., vol. 11, pp. 1309–1328, 1900.

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