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GAČR Grant no. 102/08/H081 “Nonstandard application of physical fields” Arindam SARKAR Jiří Chvojka A David LUKÁŠ.

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Presentation on theme: "GAČR Grant no. 102/08/H081 “Nonstandard application of physical fields” Arindam SARKAR Jiří Chvojka A David LUKÁŠ."— Presentation transcript:

1 GAČR Grant no. 102/08/H081 “Nonstandard application of physical fields” Arindam SARKAR Jiří Chvojka A David LUKÁŠ

2 Journal of Statistical Physics Auto-model based computer simulation of Rayleigh Instability (A.S.) has been supported by GACR Grant no. 102/08/H081 “Nonstandard application of physical fields”.

3 Dispersion relation Dispersion law for the Rayleigh instability plots dimensionless angular frequency against the dimensionless wave-number.

4 Auto-model (a) The original longitudinal and cross sectional configurations of the liquid coated fibre. (b) Detailed cross-sectional shape of the original liquid layer on a fibre and the liquid nodes distribution along the fibre axis after the detachment into individual unduloids at the time of MCSPS=20,000.

5 Dynamics of Rayleigh instability The time versus the droplet numbers for (a) the liquid coating the fibre; (b) the pure liquid jet. Unduloids on the fibre merge and those, which disappeared, are marked in grey.

6 Time versus the droplet numbers The time versus the droplet numbers for the system of liquid coating fibre with the original cross-section sketched. (a) the droplet numbers n ~ MCSPS; (b) ln(n) versus MCSPS with a regression result.

7 Outputs The Rayleigh wavelength l versus the original radius r o as predicted by the analytical theory (solid line) and by the computer simulations (points). (a) is for pure liquid jet and (b) for liquid coating a fibre.

8 Hammersley and Clifford theorem Markov random field

9 Clans and clan functions g Bayes’ rule

10 Clan functions and marginal pobabilitioes

11 Energy function, Hamiltonian and exchange energies Interaction energies E(x i,x j ) in [e.u.] Gas x i = 0Liquid x i = 1Fiber x i = 2 Gas x j = 0-40-1020 Liquid x j = 1-10-26-10 Fiber x j = 220-100

12 ELECTROHYDRODYNAMICS OF FREE LIQUID SURFACE IN A CIRCULAR CLEFT; AN APPLICATION TO ELECTROSPRAYING AND ELECTROSPINNING Journal: Acta Materialia A. Sarkar, Jiří Chvojka a D.Lukáš

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16 Journal: Textile Progress Arindam+Jiří+David


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