Spatial properties and the influence of the Soret coefficient on the solutions of time-dependent double-diffusive Darcy plane flow

Xuejiao Chen; Yuanfei Li; Xuejiao Chen; Yuanfei Li

doi:10.3934/era.2023021

Electronic Research Archive

2023, Volume 31, Issue 1: 421-441. doi: 10.3934/era.2023021

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Spatial properties and the influence of the Soret coefficient on the solutions of time-dependent double-diffusive Darcy plane flow

Xuejiao Chen ^,,
Yuanfei Li

School of Data Science, Guangzhou Huashang College, Guangdong 511300, China

Received: 28 August 2022 Revised: 12 October 2022 Accepted: 27 October 2022 Published: 08 November 2022

This paper investigates time-dependent double-diffusive Darcy flow which is defined in a semi-infinite strip pipe, where the generatrix of the pipe is not parallel to the coordinate axis any more. By using several results which have been derived in the literature, the spatial properties and the influence of the Soret coefficient on the solutions are both obtained. We also give some concrete examples.
- convergence result,
- Darcy plane flow,
- Soret coefficient
Citation: Xuejiao Chen, Yuanfei Li. Spatial properties and the influence of the Soret coefficient on the solutions of time-dependent double-diffusive Darcy plane flow[J]. Electronic Research Archive, 2023, 31(1): 421-441. doi: 10.3934/era.2023021

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Abstract

This paper investigates time-dependent double-diffusive Darcy flow which is defined in a semi-infinite strip pipe, where the generatrix of the pipe is not parallel to the coordinate axis any more. By using several results which have been derived in the literature, the spatial properties and the influence of the Soret coefficient on the solutions are both obtained. We also give some concrete examples.

References

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