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Papers by Irina Fayzrakhmanova

Research paper thumbnail of Bubble dynamics atop an oscillating substrate: Interplay of compressibility and contact angle hysteresis

Physics of Fluids, Oct 1, 2011

Research paper thumbnail of Longwave convection in a layer of binary mixture with modulated heat flux: weakly nonlinear analysis

Fluid Dynamics Research, Apr 22, 2014

ABSTRACT

Research paper thumbnail of Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect

Understanding complex systems, 2013

We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a b... more We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory for both longwave and shortwave perturbations. For the shortwave mode we also apply an empirical criterion of stability, which implies that the noise of finite magnitude is present in the system. It is shown that the heat flux modulation destabilizes the layer. However, this destabilization is rather strong only for negative values of the Soret number, when either shortwave or longwave oscillatory mode is critical in the absence of modulation.

Research paper thumbnail of Stick-slip dynamics of an oscillated sessile drop

Physics of Fluids, Jul 1, 2009

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact... more The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small amplitude and high frequency. The dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity is applied: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.

Research paper thumbnail of Vibration impact on longwave thermocapillary instability in a binary mixture with the Soret effect

Bulletin of the American Physical Society, Nov 22, 2009

ABSTRACT

Research paper thumbnail of Influence of vibration on thermocapillary instability in a binary mixture with Soret effect

Bulletin of the American Physical Society, Nov 21, 2010

Submitted for the DFD10 Meeting of The American Physical Society Influence of vibration on thermo... more Submitted for the DFD10 Meeting of The American Physical Society Influence of vibration on thermocapillary instability in a binary mixture with Soret effect IRINA FAYZRAKHMANOVA, Technion

Research paper thumbnail of Vibration influence on the onset of the longwave Marangoni instability in two-layer system

Physics of Fluids, Feb 1, 2018

We study the longwave Marangoni convection in two-layer films under the influence of a low freque... more We study the longwave Marangoni convection in two-layer films under the influence of a low frequency vibration. A linear stability analysis is performed by means of the Floquet theory. A competition of subharmonic, synchronous, and quasiperiodic modes is considered. It has been found that the monotonic instability, which exists at constant gravity, is transformed into a synchronous instability, which is critical in a wide range of vibration amplitude. At parameters where oscillatory instability exists, the longwave quasiperiodic mode remains critical until a subharmonic mode becomes critical with the growth of the vibration amplitude.

Research paper thumbnail of Influence of low-frequency vibration on thermocapillary instability in a binary mixture with the Soret effect: long-wave versus short-wave perturbations

Journal of Fluid Mechanics, Jan 2, 2013

We study the influence of low-frequency vibration on Marangoni instability in a layer of a binary... more We study the influence of low-frequency vibration on Marangoni instability in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically for perturbations of a finite wavelength (short-wave perturbations). Competition between long-wave and short-wave modes is found: the former ones are critical at smaller absolute values of the Soret number chi\chi chi, whereas the latter ones lead to instability at higher vertchivert\vert \chi \vert vertchivert. In both cases the vibration destabilizes the layer. Two variants of calculations are performed: via Floquet theory (linear asymptotic stability) and taking noise into consideration (empirical criterion). It is found that fluctuations substantially reduce the domains of stability. Further, while studying a limiting case within the empirical criterion, we have found a short-wave instability mode overlooked in former investigations of coupled Rayleigh–Marangoni convection in a layer of pure liquid.

Research paper thumbnail of Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

Physics of Fluids, Oct 1, 2010

We study the influence of a low frequency vibration on a long-wave Marangoni convection in a laye... more We study the influence of a low frequency vibration on a long-wave Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory; several limiting cases are treated analytically. Competition of subharmonic, synchronous, and quasiperiodic modes is considered. The vibration is found to destabilize the layer, decreasing the stability threshold. Also, a vibration-induced mode is detected, which takes place even for zero Marangoni number.

Research paper thumbnail of Longwave Marangoni instability in a binary mixture under the action of vibration: Influence of the heat transfer on a free surface

European Physical Journal-special Topics, Feb 1, 2011

We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer o... more We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer of a binary mixture with the Soret effect. Heat loss at a free surface is taken into consideration. Linear stability analysis is performed numerically by means of the Floquet theory. It is shown that with the increase in the Biot number B, the system is stabilized. For heating from below, a crossover is found in a narrow interval of the Soret number: the stability domain decreases stepwise for arbitrary small B.

Research paper thumbnail of Travelling Magnetic Field Influence on Crystal Growth by Bridgman Method

The usage of magnetic fields is known to be an efficient way to control the flows of electrically... more The usage of magnetic fields is known to be an efficient way to control the flows of electrically conductive fluids and therefore allowing to control heat and mass transfer in the melt and, in turn, in the resulting crystal. Bridgman method is employed both under microgravity conditions and at the Earth. In the present paper we consider the growth under terrestrial conditions. The following model is used in the numerical simulations. A cylindrical domain is filled with two phases of a semiconductor: the melt is on top, the crystal is at the bottom. The solid-liquid interface is curved and is subjected to determination along the simulation process. The position and shape of interface are determined from the temperature distribution in both melt and crystal. Both the experimental observation and numerical simulation indicate that the Bridgman growth is greatly influenced by buoyancy-induced convection. The application of magnetic field during the growth gives an instrument for the con...

Research paper thumbnail of Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect

Understanding Complex Systems, 2013

We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a b... more We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory for both longwave and shortwave perturbations. For the shortwave mode we also apply an empirical criterion of stability, which implies that the noise of finite magnitude is present in the system. It is shown that the heat flux modulation destabilizes the layer. However, this destabilization is rather strong only for negative values of the Soret number, when either shortwave or longwave oscillatory mode is critical in the absence of modulation.

Research paper thumbnail of Time-dependent magnetic field influence on GaAs crystal growth by vertical Bridgman method

Journal of Crystal Growth, 2004

Research paper thumbnail of Stick-slip dynamics of an oscillated sessile drop

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact... more The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small amplitude and high frequency. The dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity is applied: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.

Research paper thumbnail of Vibration influence on the onset of the longwave Marangoni instability in two-layer system

Research paper thumbnail of Influence of vibration on thermocapillary instability in a binary mixture with Soret effect

Research paper thumbnail of Vibration impact on longwave thermocapillary instability in a binary mixture with the Soret effect

Research paper thumbnail of Numerical modeling of magnetic field influence on vertical bridgman crystal growth

Computational Continuum Mechanics, 2008

Research paper thumbnail of Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

Physics of Fluids, 2010

We study the influence of a low frequency vibration on a long-wave Marangoni convection in a laye... more We study the influence of a low frequency vibration on a long-wave Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory; several limiting cases are treated analytically. Competition of subharmonic, synchronous, and quasiperiodic modes is considered. The vibration is found to destabilize the layer, decreasing the stability threshold. Also, a vibration-induced mode is detected, which takes place even for zero Marangoni number. Downloaded 29 Nov 2010 to 131.215.220.185. Redistribution subject to AIP license or copyright; see http://pof.aip.org/about/rights_and_permissions 104101-2 Fayzrakhmanova, Shklyaev, and Nepomnyashchy Phys. Fluids 22, 104101 ͑2010͒ Downloaded 29 Nov 2010 to 131.215.220.185. Redistribution subject to AIP license or copyright; see http://pof.aip.org/about/rights_and_permissions

Research paper thumbnail of Stick-slip dynamics of an oscillated sessile drop

Physics of Fluids, 2009

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact... more The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small amplitude and high frequency. The dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity is applied: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.

Research paper thumbnail of Bubble dynamics atop an oscillating substrate: Interplay of compressibility and contact angle hysteresis

Physics of Fluids, Oct 1, 2011

Research paper thumbnail of Longwave convection in a layer of binary mixture with modulated heat flux: weakly nonlinear analysis

Fluid Dynamics Research, Apr 22, 2014

ABSTRACT

Research paper thumbnail of Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect

Understanding complex systems, 2013

We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a b... more We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory for both longwave and shortwave perturbations. For the shortwave mode we also apply an empirical criterion of stability, which implies that the noise of finite magnitude is present in the system. It is shown that the heat flux modulation destabilizes the layer. However, this destabilization is rather strong only for negative values of the Soret number, when either shortwave or longwave oscillatory mode is critical in the absence of modulation.

Research paper thumbnail of Stick-slip dynamics of an oscillated sessile drop

Physics of Fluids, Jul 1, 2009

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact... more The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small amplitude and high frequency. The dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity is applied: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.

Research paper thumbnail of Vibration impact on longwave thermocapillary instability in a binary mixture with the Soret effect

Bulletin of the American Physical Society, Nov 22, 2009

ABSTRACT

Research paper thumbnail of Influence of vibration on thermocapillary instability in a binary mixture with Soret effect

Bulletin of the American Physical Society, Nov 21, 2010

Submitted for the DFD10 Meeting of The American Physical Society Influence of vibration on thermo... more Submitted for the DFD10 Meeting of The American Physical Society Influence of vibration on thermocapillary instability in a binary mixture with Soret effect IRINA FAYZRAKHMANOVA, Technion

Research paper thumbnail of Vibration influence on the onset of the longwave Marangoni instability in two-layer system

Physics of Fluids, Feb 1, 2018

We study the longwave Marangoni convection in two-layer films under the influence of a low freque... more We study the longwave Marangoni convection in two-layer films under the influence of a low frequency vibration. A linear stability analysis is performed by means of the Floquet theory. A competition of subharmonic, synchronous, and quasiperiodic modes is considered. It has been found that the monotonic instability, which exists at constant gravity, is transformed into a synchronous instability, which is critical in a wide range of vibration amplitude. At parameters where oscillatory instability exists, the longwave quasiperiodic mode remains critical until a subharmonic mode becomes critical with the growth of the vibration amplitude.

Research paper thumbnail of Influence of low-frequency vibration on thermocapillary instability in a binary mixture with the Soret effect: long-wave versus short-wave perturbations

Journal of Fluid Mechanics, Jan 2, 2013

We study the influence of low-frequency vibration on Marangoni instability in a layer of a binary... more We study the influence of low-frequency vibration on Marangoni instability in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically for perturbations of a finite wavelength (short-wave perturbations). Competition between long-wave and short-wave modes is found: the former ones are critical at smaller absolute values of the Soret number chi\chi chi, whereas the latter ones lead to instability at higher vertchivert\vert \chi \vert vertchivert. In both cases the vibration destabilizes the layer. Two variants of calculations are performed: via Floquet theory (linear asymptotic stability) and taking noise into consideration (empirical criterion). It is found that fluctuations substantially reduce the domains of stability. Further, while studying a limiting case within the empirical criterion, we have found a short-wave instability mode overlooked in former investigations of coupled Rayleigh–Marangoni convection in a layer of pure liquid.

Research paper thumbnail of Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

Physics of Fluids, Oct 1, 2010

We study the influence of a low frequency vibration on a long-wave Marangoni convection in a laye... more We study the influence of a low frequency vibration on a long-wave Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory; several limiting cases are treated analytically. Competition of subharmonic, synchronous, and quasiperiodic modes is considered. The vibration is found to destabilize the layer, decreasing the stability threshold. Also, a vibration-induced mode is detected, which takes place even for zero Marangoni number.

Research paper thumbnail of Longwave Marangoni instability in a binary mixture under the action of vibration: Influence of the heat transfer on a free surface

European Physical Journal-special Topics, Feb 1, 2011

We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer o... more We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer of a binary mixture with the Soret effect. Heat loss at a free surface is taken into consideration. Linear stability analysis is performed numerically by means of the Floquet theory. It is shown that with the increase in the Biot number B, the system is stabilized. For heating from below, a crossover is found in a narrow interval of the Soret number: the stability domain decreases stepwise for arbitrary small B.

Research paper thumbnail of Travelling Magnetic Field Influence on Crystal Growth by Bridgman Method

The usage of magnetic fields is known to be an efficient way to control the flows of electrically... more The usage of magnetic fields is known to be an efficient way to control the flows of electrically conductive fluids and therefore allowing to control heat and mass transfer in the melt and, in turn, in the resulting crystal. Bridgman method is employed both under microgravity conditions and at the Earth. In the present paper we consider the growth under terrestrial conditions. The following model is used in the numerical simulations. A cylindrical domain is filled with two phases of a semiconductor: the melt is on top, the crystal is at the bottom. The solid-liquid interface is curved and is subjected to determination along the simulation process. The position and shape of interface are determined from the temperature distribution in both melt and crystal. Both the experimental observation and numerical simulation indicate that the Bridgman growth is greatly influenced by buoyancy-induced convection. The application of magnetic field during the growth gives an instrument for the con...

Research paper thumbnail of Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect

Understanding Complex Systems, 2013

We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a b... more We study the influence of modulation of a heat flux on the Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory for both longwave and shortwave perturbations. For the shortwave mode we also apply an empirical criterion of stability, which implies that the noise of finite magnitude is present in the system. It is shown that the heat flux modulation destabilizes the layer. However, this destabilization is rather strong only for negative values of the Soret number, when either shortwave or longwave oscillatory mode is critical in the absence of modulation.

Research paper thumbnail of Time-dependent magnetic field influence on GaAs crystal growth by vertical Bridgman method

Journal of Crystal Growth, 2004

Research paper thumbnail of Stick-slip dynamics of an oscillated sessile drop

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact... more The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small amplitude and high frequency. The dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity is applied: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.

Research paper thumbnail of Vibration influence on the onset of the longwave Marangoni instability in two-layer system

Research paper thumbnail of Influence of vibration on thermocapillary instability in a binary mixture with Soret effect

Research paper thumbnail of Vibration impact on longwave thermocapillary instability in a binary mixture with the Soret effect

Research paper thumbnail of Numerical modeling of magnetic field influence on vertical bridgman crystal growth

Computational Continuum Mechanics, 2008

Research paper thumbnail of Influence of a low frequency vibration on a long-wave Marangoni instability in a binary mixture with the Soret effect

Physics of Fluids, 2010

We study the influence of a low frequency vibration on a long-wave Marangoni convection in a laye... more We study the influence of a low frequency vibration on a long-wave Marangoni convection in a layer of a binary mixture with the Soret effect. A linear stability analysis is performed numerically by means of the Floquet theory; several limiting cases are treated analytically. Competition of subharmonic, synchronous, and quasiperiodic modes is considered. The vibration is found to destabilize the layer, decreasing the stability threshold. Also, a vibration-induced mode is detected, which takes place even for zero Marangoni number. Downloaded 29 Nov 2010 to 131.215.220.185. Redistribution subject to AIP license or copyright; see http://pof.aip.org/about/rights_and_permissions 104101-2 Fayzrakhmanova, Shklyaev, and Nepomnyashchy Phys. Fluids 22, 104101 ͑2010͒ Downloaded 29 Nov 2010 to 131.215.220.185. Redistribution subject to AIP license or copyright; see http://pof.aip.org/about/rights_and_permissions

Research paper thumbnail of Stick-slip dynamics of an oscillated sessile drop

Physics of Fluids, 2009

The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact... more The dynamics of an oscillated sessile drop of incompressible liquid with the focus on the contact line hysteresis is under theoretical consideration. The solid substrate is subject to transverse oscillations, which are assumed small amplitude and high frequency. The dynamic boundary condition that involves an ambiguous dependence of the contact angle on the contact line velocity is applied: the contact line starts to move only when the deviation of the contact angle exceeds a certain critical value. As a result, the stick-slip dynamics can be observed. The frequency response of surface oscillations on the substrate and at the pole of the drop are analyzed. It is shown that novel features such as the emergence of antiresonant frequency bands and nontrivial competition of different resonances are caused by contact line hysteresis.