MATHEMATICAL STUDY OF THE SMALL OSCILLATIONS OF A CATENOIDAL LIQUID BRIDGE BETWEEN TWO EQUAL MEMBRANES UNDER ZERO GRAVITY

1998 ◽  
Vol 12 (2) ◽  
pp. 197-213
Author(s):  
P. CAPODANNO
Keyword(s):  
Liquid Bridge ◽  
Zero Gravity ◽  
Mathematical Study ◽  
Small Oscillations

scholarly journals Mathematical study of the small oscillations of a finite cylindrical column liquid-gas under zero gravity

2019 ◽  
Vol 7 (1) ◽  
pp. 4
Author(s):  
Hilal Essaouini ◽  
Pierre Capodanno
Keyword(s):  
Variational Equation ◽  
Equations Of Motion ◽  
Geometric Condition ◽  
Zero Gravity ◽  
Mathematical Study ◽  
Small Oscillations ◽  
Cylindrical Column ◽  
Barotropic Gas ◽  
Circular Rings ◽  
Classical Vibration

This paper deals with the mathematical study of the small motions of a system formed by a cylindrical liquid column bounded by two parallel circular rings and an internal cylindrical column constituted by a barotropic gas under zero gravity. From the equations of motion, the authors deduce a variational equation. Then, the study of the small oscillations depends on the coerciveness of a hermitian form that appears in this equation. It is proved that this last problem is reduced to an auxiliary eigenvalues problem. The discussion shows that, under a simple geometric condition, the problem is a classical vibration problem.  

Characterization of the thermal and solutal Marangoni flows of opposite directions developing in a cylindrical liquid bridge under zero gravity

2020 ◽  
Vol 32 (3) ◽  
pp. 034104
Author(s):  
Chihao Jin ◽  
Atsushi Sekimoto ◽  
Yasunori Okano ◽  
Hisashi Minakuchi ◽  
Sadik Dost
Keyword(s):  
Liquid Bridge ◽  
Zero Gravity ◽  
Marangoni Flows

Temperature Distribution of High Prandtl Number Liquid Bridge under Zero Gravity

2013 ◽  
Vol 712-715 ◽  
pp. 1638-1641
Author(s):  
Ru Quan Liang ◽  
Shuo Yang ◽  
Jun Hong Ji ◽  
Fu Sheng Yan ◽  
Ji Cheng He
Keyword(s):  
Temperature Field ◽  
Prandtl Number ◽  
Liquid Bridge ◽  
Surface Deformation ◽  
Stokes Equations ◽  
Ambient Air ◽  
Conservation Equation ◽  
Staggered Grid ◽  
Zero Gravity ◽  
High Prandtl Number

A numerical model has been developed to investigate temperature field of high prandtl number liquid bridge under zero-gravity condition, and numerical simulations have been carried out. The Navier-Stokes equations coupled with the energy conservation equation on a staggered grid. In numerical calculations, we considered not only the free surface deformation but also the effects of ambient air. Overall numerical analysis of liquid bridge was carried out by level set method of mass conservation to capture two phase interfaces. Simultaneously, results of temperature field in liquid bridge and ambient gas-phase were given.

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