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Theme 2

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

 

staff

room

tel. (+359 2)

e-mail

Assoc. Prof. Dr St.  Stefanov -

Project leader

404 979 6463 stefanov@imbm.bas.bg

Prof. DSc Daniel Danchev

310

979 6447

daniel@imbm.bas.bg

Assoc. Prof. DSc Stanimir Iliev

329

979 6488

stani@imbm.bas.bg

Assoc. Prof. Dr Petar Gospodinov

404

979 6463

png@imbm.bas.bg

Assoc. Prof. Dr Nina Pesheva

304

979 6439

nina@imbm.bas.bg

Assist. Prof. Dr Dobry Dankov

329

979 6488

dankov@imbm.bas.bg

Assist. Prof. Vadimir Rusinov

404

979 6463

vladimir@imbm.bas.bg

Assist. Dr Kiril Shterev

421

979 2007

kshterev@imbm.bas.bg

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

326

979 6456

slavcho@imbm.bas.bg

Asist. Dr Galin Valchev

105

979 6701

gvalchev@imbm.bas.bg

 

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:17-11-2015