Stability of the flow due to a heated stretching sheet

Niall Hanevy; Philip M. J. Trevelyan; Sharon O. Stephen; Paul T. Griffiths

Stability of the flow due to a heated stretching sheet

Niall Hanevy, Philip M. J. Trevelyan, Sharon O. Stephen, Paul T. Griffiths

Research output: Contribution to journal › Article › peer-review

Abstract

The stability of the flow induced by a linearly stretched, flat sheet with a temperature gradient between the sheet and the free stream is investigated via a complementary numerical and large Reynolds number lower-branch asymptotic analysis. This analysis involves the derivation of new basic flow solutions which extend the exact analytical solutions of Crane, by coupling the energy and momentum equations with a temperature-dependent viscosity. In the most extreme case considered, the Reynolds number at which instabilities are observed is approximately halved compared to the isothermal case, thereby justifying its consideration as a physically meaningful flow variable of interest with potential implications for industrial extrusion processes.

Original language	English
Article number	124135
Number of pages	11
Journal	Physics of Fluids
Volume	36
Issue number	12
Early online date	18 Dec 2024
Publication status	Published - Dec 2024

Bibliographical note

Copyright © 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://
creativecommons.org/licenses/by/4.0/).

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N Hanevy et al_Stability of the flow due to a heated stretching sheet
Copyright © 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Final published version, 1.84 MBLicence: CC BY 4.0

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AU - Hanevy, Niall

AU - Trevelyan, Philip M. J.

AU - Stephen, Sharon O.

AU - Griffiths, Paul T.

PY - 2024/12

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N2 - The stability of the flow induced by a linearly stretched, flat sheet with a temperature gradient between the sheet and the free stream is investigated via a complementary numerical and large Reynolds number lower-branch asymptotic analysis. This analysis involves the derivation of new basic flow solutions which extend the exact analytical solutions of Crane, by coupling the energy and momentum equations with a temperature-dependent viscosity. In the most extreme case considered, the Reynolds number at which instabilities are observed is approximately halved compared to the isothermal case, thereby justifying its consideration as a physically meaningful flow variable of interest with potential implications for industrial extrusion processes.

AB - The stability of the flow induced by a linearly stretched, flat sheet with a temperature gradient between the sheet and the free stream is investigated via a complementary numerical and large Reynolds number lower-branch asymptotic analysis. This analysis involves the derivation of new basic flow solutions which extend the exact analytical solutions of Crane, by coupling the energy and momentum equations with a temperature-dependent viscosity. In the most extreme case considered, the Reynolds number at which instabilities are observed is approximately halved compared to the isothermal case, thereby justifying its consideration as a physically meaningful flow variable of interest with potential implications for industrial extrusion processes.

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JO - Physics of Fluids

JF - Physics of Fluids

IS - 12

M1 - 124135

ER -

Stability of the flow due to a heated stretching sheet

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