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.
Acknowledgment
The author PK would like to thank the management of Chaitanya Bharathi Institute of Technology for providing research benefits. In addition, author PK thanks R & E Hub CBIT for appointing him as a research coordinator for the Department of Mathematics.
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Research ethics: The data used in this paper from other parts are cited therein.
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Author contributions: This article is written solely by the author. The problem formulation and the methodology are prepared by the author himself.
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Competing interests: The author has no conflicts of interest to publish this article.
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Research funding: There is no funding for this work.
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Data availability: The data is available with the author; upon the request it will be provided.
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Research Articles
- New LMI constraint-based settling-time estimation for finite-time stability of fractional-order neural networks
- A spatial model to understand tuberculosis granuloma formation and its impact on disease progression
- Oscillatory nonlinear thermal instability in nanoliquid under gravity modulation within Hele-Shaw cell
- Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative
- A mathematical model to study herbal and modern treatments against COVID-19
- Study of explicit travelling wave solutions of nonlinear (2 + 1)-dimensional Zoomeron model in mathematical physics
Artikel in diesem Heft
- Frontmatter
- Research Articles
- New LMI constraint-based settling-time estimation for finite-time stability of fractional-order neural networks
- A spatial model to understand tuberculosis granuloma formation and its impact on disease progression
- Oscillatory nonlinear thermal instability in nanoliquid under gravity modulation within Hele-Shaw cell
- Fuzzy neutral fractional integro-differential equation existence and stability results involving the Caputo fractional generalized Hukuhara derivative
- A mathematical model to study herbal and modern treatments against COVID-19
- Study of explicit travelling wave solutions of nonlinear (2 + 1)-dimensional Zoomeron model in mathematical physics