Numerical study on the effect of heat loss upon the critical marangoni number in a half-zone liquid bridge

2006 ◽  
Vol 18 (3-4) ◽  
pp. 141-145 ◽  
Author(s):  
Yukifumi Kousaka ◽  
Hiroshi Kawamura
Keyword(s):  
Heat Loss ◽  
Liquid Bridge ◽  
Marangoni Number ◽  
Numerical Study ◽  
Critical Marangoni Number

Nonlinear Marangoni convection in bounded layers. Part 1. Circular cylindrical containers

1982 ◽  
Vol 120 ◽  
pp. 91-122 ◽  
Author(s):  
S. Rosenblat ◽  
S. H. Davis ◽  
G. M. Homsy
Keyword(s):  
Marangoni Number ◽  
Finite Amplitude ◽  
Surface Cooling ◽  
Aspect Ratios ◽  
Linearized Stability ◽  
Double Eigenvalues ◽  
Critical Marangoni Number ◽  
Side Walls ◽  
Convective State ◽  
The Stability

We consider liquid in a circular cylinder that undergoes nonlinear Marangoni insta- bility. The upper free surface of the liquid is taken to have large-enough surface tension that surface deflections are neglected. The side walls are adiabatic and impenetrable, and for mathematical simplicity the liquid is allowed to slip on the side walls. The linearized stability theory for heating from below gives the critical Marangoni number Mc as a function of cylinder dimensions, surface-cooling condition and Rayleigh number. The steady nonlinear convective states near Mc are calculated using an asymptotic theory, and the stability of these states is examined. At simple eigenvalues Mc the finite-amplitude states are determined. We find th at the Prandtl number of the liquid influences the stability of axisymmetric states, distinguishing upflow at the centre from downflow. Near those aspect ratios corresponding to double eigenvalues Me, where two convective states of linear theory are equally likely, the nonlinear theory predicts sequences of transitions from one steady convective state to another as the Marangoni number is increased. These transitions are determined and discussed in detail. Time-periodic convection is possible in certain cases.

scholarly journals Numerical study on thermocapillary convection in liquid bridge under surrounding shear gas stream

2016 ◽  
Vol 40 ◽  
pp. 06001
Author(s):  
Ruquan Liang ◽  
Limin Kong ◽  
Fuqiang Yan ◽  
Di Bei ◽  
Shuo Zhang
Keyword(s):  
Liquid Bridge ◽  
Thermocapillary Convection ◽  
Numerical Study

On the Stability of Planar Premixed Flames Under Nonadiabatic Conditions and Preferential Diffusion

2017 ◽  
Vol 9 (3) ◽  
Author(s):  
Eman Al-Sarairah ◽  
Bilal Al-Hasanat ◽  
Ahmed Hachicha
Keyword(s):  
Heat Loss ◽  
Numerical Study ◽  
Lewis Number ◽  
Premixed Flame ◽  
Constant Density ◽  
Damkohler Number ◽  
Damköhler Number ◽  
Number Ratio ◽  
Preferential Diffusion ◽  
The Stability

In this paper, we provide a numerical study of the stability analysis of a planar premixed flame. The interaction of preferential diffusion and heat loss for a planar premixed flame is investigated using a thermodiffusive (constant density) model. The flame is studied as a function of three nondimensional parameters, namely, Damköhler number (ratio of diffusion time to chemical time), Lewis number (ratio of thermal to species diffusivity), and heat loss. A maximum of four solutions are identified in some cases, two of which are stable. The behavior of the eigenvalues of the linearized system of stabilty is also discussed. For low Lewis number, the heat loss plays a major role in stabilizing the flame for some moderately high values of Damköhler number. The results show the effect of increasing or decreasing Lewis number on adiabatic and nonadiabatic flames temperature and reaction rate as well as the range of heat loss at which flames can survive.

Numerical Study on High Prandtl Number Liquid Bridge

2013 ◽  
Vol 712-715 ◽  
pp. 1630-1633
Author(s):  
Ru Quan Liang ◽  
Shuo Yang ◽  
Fu Sheng Yan ◽  
Jun Hong Ji ◽  
Ji Cheng He
Keyword(s):  
Gas Phase ◽  
Liquid Bridge ◽  
Surface Deformation ◽  
Numerical Study ◽  
Mass Conservation ◽  
Ambient Air ◽  
Two Phase ◽  
High Prandtl Number ◽  
Free Surface Deformation ◽  
Ambient Gas

The overall numerical analysis of liquid bridge for high Pr number fluid and flow field of ambient air under the zero-gravity environment was carried out in the present paper. The paper used level set method of mass conservation to capture two phase interfaces. Not only the free surface deformation was considered, but also the effect of ambient gas was taken into account. Simultaneously, results of stream function in liquid bridge and ambient gas-phase were given.

Numerical Simulation of Oscillatory Marangoni Flow in Encapsulated Liquid Bridge

2005 ◽  
Author(s):  
Lan Peng ◽  
You-Rong Li ◽  
Nobuyuki Imaishi ◽  
Dan-Ling Zeng ◽  
Qing-Hua Chen
Keyword(s):  
Liquid Bridge ◽  
Marangoni Number ◽  
Oscillatory Flow ◽  
Marangoni Convection ◽  
Silicone Oil ◽  
Temperature Fields ◽  
Critical Conditions ◽  
Simulation Results ◽  
Physical And Mathematical Models ◽  
Oscillation Frequencies

The physical and mathematical models of the Marangoni convection of KF-96 silicone oil and FC-70 fluorinart in an encapsulated liquid bridge were established. To contrast to this configuration, the Marangoni convection of KF-96 silicone oil in a liquid bridge was also studied in present work. We conducted a series of unsteady two-dimensional numerical simulations. Simulation conditions correspond to those in the experiments of Majima and Kawamura (2001). The simulation results with large Marangoni number (Ma) predicted oscillatory flows under microgravity. The critical conditions for the onset oscillatory flow were determined and compared with the experimental results. Details of the flow and temperature fields were discussed. Oscillation frequencies were also exhibited.

Sign in / Sign up

Export Citation Format

Share Document