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- W3115702623 abstract "Flows within porous media play important roles in many scientific and industrial systems. However, the case wherein such flows become turbulent has not been completely understood, particularly, from a mathematical viewpoint. In this study, the $k-varepsilon$ model (the variable $k$ denotes the turbulent kinetic energy per unit mass and $varepsilon$ the dissipation rate for the turbulent kinetic energy), which has been widely used for the usual turbulent flow in a clear fluid, was applied to a turbulent flow through porous media. If a homogeneous, averaged flow and homogeneous isotropic turbulence are assumed, the governing equations for the variables $k$ and $varepsilon$ describe a straight line as a nullcline common to both the variables. The nullcline was shown to be a line attractor. A temporal evolution of the eddy viscosity was also obtained, and the initial and final values of the eddy viscosity were observed to be related to a power law, indicating universal sensitivity. This sensitivity originates from the common nullcline and is not observed for the usual turbulent flow. Finally, nonlinear mathematical and seismological implications were provided using based on the results obtained." @default.
- W3115702623 created "2021-01-05" @default.
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- W3115702623 date "2021-02-15" @default.
- W3115702623 modified "2023-10-16" @default.
- W3115702623 title "Characteristic Sensitivity of Turbulent Flow within a Porous Medium under Initial Conditions" @default.
- W3115702623 cites W1607581237 @default.
- W3115702623 doi "https://doi.org/10.7566/jpsj.90.024401" @default.
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