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Analytical Solution for Large-Scale Rotating Fluid Layer with Thermal Convection

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A soliton-like solution is obtained by using the auxiliary Riccati equation method for the evolution equation describing the deformation of the upper surface of a large-scale rotating fluid layer with… Click to show full abstract

A soliton-like solution is obtained by using the auxiliary Riccati equation method for the evolution equation describing the deformation of the upper surface of a large-scale rotating fluid layer with the thermal convection. This solution reveals that the long-lived structure of the rotating fluid layer depends on the nonlinear term associated with the beta effect and the diffusion term resulted from the thermal convection.

Keywords: solution; thermal convection; rotating fluid; fluid layer

Journal Title: Fluid Dynamics
Year Published: 2019

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