Mach Fronts in Random Media with Fractal and Hurst Effects

Article Mechanics

Doppler effect described by the solutions of the Cattaneo telegraph equation

Yuriy Povstenko et al.

Summary: This study examines the Cattaneo telegraph equation for temperature with a moving time-harmonic source on different domains using Laplace and Fourier transforms, obtaining expressions that demonstrate wave fronts and clarify the Doppler effect. Various specific cases, including the heat conduction equation and wave equation, are investigated, along with quasi-steady-state solutions for non-moving time-harmonic source and time-harmonic boundary conditions for temperature.

ACTA MECHANICA (2021)

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Article Mechanics

On streamwise velocity spectra models with fractal and long-memory effects

Rossella Laudani et al.

Summary: Two novel spectrum models of the streamwise velocity component with robust correlation structures are proposed in this study, which account for and decouple the fractal dimension and Hurst effect. These models show good agreement and better performance than conventional isotropic-based models when tested with field data.

PHYSICS OF FLUIDS (2021)

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Article Multidisciplinary Sciences