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Convection in binary fluid mixtures with modulated heating
1Perm State University, 614990, Perm, Russia. bsmorodin@yandex.ru
Summary
Strongly nonlinear binary fluid convection exhibits complex traveling and standing waves when heated periodically. These patterns show hysteresis and bistability due to strong nonlinear advection and concentration mixing.
Area of Science:
- Fluid Dynamics
- Nonlinear Dynamics
- Thermodynamics
Background:
- Binary fluid convection is crucial in various natural and industrial processes.
- Nonlinear effects significantly alter fluid behavior, especially under external forcing.
- Soret coupling influences heat and mass transfer, leading to complex phenomena.
Purpose of the Study:
- Investigate the response of strongly nonlinear binary fluid convection to temporal heating modulation.
- Analyze the impact of negative Soret coupling on convection patterns.
- Characterize the spatiotemporal dynamics and bifurcation properties.
Main Methods:
- Finite difference numerical simulations were employed.
- Ethanol-water fluid parameters were used with realistic boundary conditions.
- Diagnostic analysis tools were utilized to study complex behaviors.
Main Results:
- Stable solutions include traveling waves with modulated amplitudes/velocities and subharmonic standing waves.
- Synchronously modulated patterns with fixed spatial phase were observed.
- Hysteretic transitions between subcritical traveling and standing waves were found, coexisting with a quiescent state.
Conclusions:
- Nonlinear advection and strong concentration mixing drive complex spatiotemporal dynamics.
- Temporal heating modulation induces rich pattern formation in binary fluid convection.
- The system exhibits bistability and hysteresis, highlighting the intricate interplay of nonlinearities.
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