An analytical model for time-dependent deformation of a circular plate illuminated by a laser pulse

1998 ◽  
Vol 31 (1) ◽  
pp. 65-73 ◽  
Author(s):  
Marjan Dovc ◽  
Janez Mozina ◽  
Franci Kosel
2011 ◽  
Vol 682 ◽  
pp. 460-490 ◽  
Author(s):  
B. ISSENMANN ◽  
R. WUNENBURGER ◽  
H. CHRAIBI ◽  
M. GANDIL ◽  
J.-P. DELVILLE

We present an analytical model of the time-dependent, small-amplitude deformation of a free liquid surface caused by a spatially localized, axisymmetric, pulsed or continuous, acoustic or electromagnetic radiation pressure exerted on the surface. By exactly solving the unsteady Stokes equation, we predict the surface dynamics in all dynamic regimes, namely inertial, intermediate and strongly damped regimes. We demonstrate the validity of this model in all dynamic regimes by comparing its prediction to experiments consisting of optically measuring the time-dependent curvature of the tip of a hump created at a liquid surface by the radiation pressure of an acoustic pulse. Finally, we present a numerical scheme simulating the behaviour of a fluid–fluid interface subjected to a time-dependent radiation pressure and show its accuracy by comparing the numerical predictions with the analytical model in the intermediate and strongly damped regimes.


2015 ◽  
Author(s):  
Vyacheslav A. Trofimov ◽  
Elena S. Komarova ◽  
Eugeniy V. Pedan ◽  
Mikhail V. Fedotov

Author(s):  
M. Fakoor-Pakdaman ◽  
M. Andisheh-Tadbir ◽  
Majid Bahrami

A new all-time model is developed to predict transient laminar forced convection heat transfer inside a circular tube under arbitrary time-dependent heat flux. Slug flow condition is assumed for the velocity profile inside the tube. The solution to the time-dependent energy equation for a step heat flux boundary condition is generalized for arbitrary time variations in surface heat flux using a Duhamel’s integral technique. A cyclic time-dependent heat flux is considered and new compact closed-form relationships are proposed to predict: i) fluid temperature distribution inside the tube ii) fluid bulk temperature and iii) the Nusselt number. A new definition, cyclic fully-developed Nusselt number, is introduced and it is shown that in the thermally fully-developed region the Nusselt number is not a function of axial location, but it varies with time and the angular frequency of the imposed heat flux. Optimum conditions are found which maximize the heat transfer rate of the unsteady laminar forced-convective tube flow. We also performed an independent numerical simulation using ANSYS to validate the present analytical model. The comparison between the numerical and the present analytical model shows great agreement; a maximum relative difference less than 5.3%.


2001 ◽  
Vol 86 (20) ◽  
pp. 4500-4503 ◽  
Author(s):  
Masaaki Tsubouchi ◽  
Benjamin J. Whitaker ◽  
Li Wang ◽  
Hiroshi Kohguchi ◽  
Toshinori Suzuki

2017 ◽  
Vol 95 (4) ◽  
pp. 322-330 ◽  
Author(s):  
Yuxin Sun ◽  
Jingxuan Ma ◽  
Shoubin Liu ◽  
Jialing Yang

In this study, the heat conduction behavior of a bi-layered circular plate during pulsed laser heating is investigated. A laser pulse with non-Gaussian temporal form is applied to the center of the top surface of the plate at the beginning of time. The spatial distribution of the heat energy of the laser pulse is also considered. The Green’s function for heat conduction equation of two-dimensional laminated structure is determined and is used to derive the analytical expression of temperature increment of the problem. The validation of this theoretical model is obtained through comparison with numerical results obtained by the ANSYS software package. The spatial and temporal variations of the temperature increment are illustrated. The influence of the duration time of the laser pulse on the temperature increment is also analyzed.


2000 ◽  
Vol 18 (3) ◽  
pp. 433-441
Author(s):  
P.P. CORSO ◽  
D.G. LAPPAS ◽  
P.L. KNIGHT

Calculations of the double ionization of a model 1D helium atom interacting with an intense short laser pulse are presented. A substantial signature of nonsequential double ionization is found for all the wavelengths that are considered, from 248 nm to 1064 nm, provided that sufficiently short pulses are employed. We show how one can modify the size of the “knee” structure of the double ionization yield curve by varying the laser pulse duration. The underlying mechanism of the correlated double electron ejection is investigated and discussed.


2009 ◽  
Vol 79 (3) ◽  
Author(s):  
Yongsheng Huang ◽  
Yuanjie Bi ◽  
Yijin Shi ◽  
Naiyan Wang ◽  
Xiuzhang Tang ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document