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arXiv · 2303.15048

Evolution of Perturbation in Quiescent Medium

Tapan K. Sengupta·Shivam K. Jha·Aditi Sengupta·Bhavna Joshi·Prasannabalaji Sundaram
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Abstract

Here, the perturbation equation for a dissipative medium is derived from the first principle from the linearized compressible Navier-Stokes equation without Stokes's hypothesis. The dispersion relations of this generic governing equation are obtained for one and three-dimensional perturbations, which exhibit both the dispersive and dissipative nature of the perturbations traveling in a dissipative medium, depending upon the length scale. We specifically provide a theoretical cut-off wave number above which the perturbation equation represents diffusive and dissipative nature. Such behavior has not been reported before, as per the knowledge of the authors.

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Tapan K. Sengupta, Shivam K. Jha, Aditi Sengupta, Bhavna Joshi, Prasannabalaji Sundaram. 2023-03-27. Evolution of Perturbation in Quiescent Medium. https://arxiv.org/abs/2303.15048

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