This directory contains critical data (onset three-dimensional
flow) in an axisymmetric thermocapillary liquid bridge under zero
gravity conditions. Data are valid for the two-fluid model (TFM)
where the liquid bridge is surrounded by a gas bounded by a coaxial
cylindrical container. In the gas an axisymmetric and coaxial gas
flow is imposed through the inlet of the annular gas container.

The working liquid is 5cSt silicone oil and the gas is Argon. The
governing equations are solved accounting for temperature dependent
properties.

The geometry is characterized by

	- r_i = 5mm ... radius of the rods supporting the liquid bridge
	- d_rod = 15mm ... length of the support rods
	- r_o = 15mm ... radius of the outer cylindrical shield

Results are available for different lengths d of the liquid brigde:

	- d = r_i*[0.5; 0.66; 1; 1.8] ... length of the liquid bridges

Note the length of the annular gas container is 2d_rod + d.

All *.dat files in this directory have 4 columns:
	> 1st column: Gas flow Reynolds number Re_g = w_g*d/nu, where
		- w_g is the mean inlet gas velocity of the chamber
		- d is the length of the liquid bridge
		- nu is the kinematic viscosity of the liquid	
	> 2nd column: Critical thermocapillary Reynolds number Re = delta_T*d*gamma/(rho*nu^2), where
		- delta_T is the temperature difference between the rods
		- gamma is the negative Taylor expansion coefficient of the surface tension
		- rho is the density of the liquid
	> 3rd column: Critical non-dimensional frequency (in units of the inverse viscous time scale t*=d^2/nu)
	> 4th column: Critical azimuthal wave number m

Note: positive/negative values of Re_g represent gas flows entering
the gas tube from the cold/hot side.
