Thermal analysis of rotating fluid under fractal-fractional differential approach with G-Jitter effect: The dynamism of modulation

초록

The convective motions of rotating fluids under G-Jitter effect are of interest in industrial applications based on mechanisms of defining the structure verses quality of the material, homogeneity verses inhomogeneity of heating, laminar verses turbulent waves, oscillating verses non-oscillating vortices, and few others. This manuscript presents fractal modeling of G-Jitter effect for thermal analysis of rotating fluid via fractional differential as well as integral approach. The fractal-fractionalized mathematical model is proposed in terms of system of evolutionary differential equations that describes chaotic phenomenon under sensitivity of imposed initial conditions. The numerical simulations have also been generated by means of fractal-fractional differential as well as integral approach based on non-singularity and non-locality. The heat transfer effect of gravity modulation and rotation on amplitudes have also been investigated in phase portraits with dynamical chaotic behaviors. Our results suggest that high-frequency modulated fluid layer is unstable and low-frequency-modulated fluid layer is stable during chaotic convection.

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