10 Result(s)
within
Irina V. Alexandrova
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Article
Dynamics of crystals in metastable liquids with applications to the growth of polypeptide hormones
This study is concerned with the dynamics of a polydisperse ensemble of crystals in a single-component metastable solution/melt. A new theory based on the kinetic and balance equations is developed for the des...
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Article
Directional crystallization with a mushy region. Part 1: linear analysis of dynamic stability
In this paper, a linear analysis of dynamic stability of the directional solidification process with a two-phase region is carried out. We show the possibility of oscillatory mode of instability development in...
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Article
Directional crystallization with a mushy region. Part 2: nonlinear analysis of dynamic stability
In this paper, we develop a nonlinear theory of self-oscillatory solidification mode during directional crystallization in the presence of a quasi-equilibrium two-phase region of constitutional supercooling. T...
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Article
A complete analytical solution of unsteady coagulation equations and transition between the intermediate and concluding stages of a phase transformation
In this paper, a complete analytical solution to the unsteady kinetic equation of particle coagulation in a metastable liquid is constructed with allowance for an arbitrary initial particle-volume distribution...
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Article
Exact analytical solutions of a steady-state mushy layer model containing heat exchange with the environment
A set of nonlinear equations describing the crystallization of a binary melt in the presence of a quasi-equilibrium mushy layer is analytically solved in the case of heat exchange with the environment. Solute ...
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Article
Approximate analytical solutions of the kinetic and balance equations for intense boiling
The process of intense boiling is theoretically studied on the basis of kinetic and balance equations for the bubble-size distribution function and system temperature. The kinetic equation for the bubble-size ...
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Article
Growth of spherical and ellipsoidal crystals in a metastable liquid
In this paper, the growth rates of spherical and ellipsoidal crystals evolving in metastable melts and solutions are derived. Different scenarios and aspects of crystal growth (steady-state, unsteady-state, th...
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Article
On the theory of directional crystallization with a two-phase region with vigorous convection
A time-dependent process of directional crystallization with a two-phase (mushy) region with allowance for vigorous convection in the liquid phase is analytically described. An exact solution of non-linear mus...
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Article
Towards the theory of phase transformations in metastable liquids. Analytical solutions and stability analysis
The process of ongoing nucleation and evolution of particles in a metastable liquid caused by external mass sources and crystal withdrawal mechanism is considered. The steady-state and unsteady-state analytica...
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Article
Unsteady-state particle-size distributions at the coagulation stage of phase transformations
In this paper, a new analytical solution of nonstationary integro-differential coagulation equation, which describes the concluding stage of a phase transformation process in metastable liquids, is deduced. T...
