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Theme 2

Mathematical modeling and numerical simulations of multi-scale processes and phenomena in micro- and nano-fluidic systems




tel. (+359 2)


Assoc. Prof. Dr St.  Stefanov -

Project leader

404 979 6463

Prof. DSc Daniel Danchev


979 6447

Assoc. Prof. DSc Stanimir Iliev


979 6488

Assoc. Prof. Dr Petar Gospodinov


979 6463

Assoc. Prof. Dr Nina Pesheva


979 6439

Assist. Prof. Dr Dobry Dankov


979 6488

Assist. Prof. Vadimir Rusinov


979 6463

Assist. Dr Kiril Shterev


979 2007

kshterev at

Assoc. member- Assoc. Prof. Dr Sl. Slavtchev


979 6456

Asist. Dr Galin Valchev


979 6701


The aim of the present project is to contribute to the development of the multiscale approach for solving complex problems of micro- and nano-fluidics, combining different models of mathematical description of the studied micro- and nano-fluid systems: from continuum to discrete ( or atomistic) descriptions. For example, the continuum approach uses complicated and exended models of compressible, viscous, heat-conducting gas with transport coefficients depending on its state and the slip conditions for the fluid on the bounding surfaces of solid bodies, and the molecular approach is based on direct computer simulations using Monte Carlo (DSMC) method of the motion and the interaction of the gas molecules with each other and with the surrounding medium. A particular attention will be paid to the use of special boundary conditions of slippage and exchange between the gaseous medium and the micro-systems elements. The central hypothesis is based on the assumption that the description of the problems under study cannot be realized by the classic Navier-Stokes equations and new improved continuum and molecular models are needed. Numerical methods and numerical simulations will be employed for treating the above problems. The development of parallel algorithms is also foreseen since the above described problems require large computation times. A wide class of micro-flows in a slip regime at the boundaries will be investigated. A comparison will be performed with theoretical and experimental data, obtained from our foregn collaborators ( consultants) for flows in micro-channels and micro-systems, which are elements of real MEMS. At nano-scale also analytical approaches will be applied.


Публичен архив:

A pressure based, iterative finite volume method is developed for calculation of compressible, viscous, heat conductive gas flows at all speeds. For more information click here.

Dynamic Meniscus Profile Method for Detertmination of the Dynamic Contact Angle in the Wilhelmy Plate Geometry is developed and availabel for use here.




Modified date:30-11-2018