Ling Zhou's research while affiliated with Dalian University of Technology and other places

Publications (13)

Article
A novel polygonal element differential method (PEDM) is presented for solving two-dimensional nonlinear transient heat conduction problems for the first time. New shape functions as well as their derivatives with respect to isoparametric coordinates are derived to treat the polygonal elements with an internal node. System equations of the PBEM are...
Article
In the present work, a polygonal boundary element method (PBEM) for solving transient inhomogeneous heat conduction problems with spatially-varying heat generation is developed for the first time. A new general analytical method is proposed and employed in the present PBEM, by which the radial integrals associated with arbitrary spatially-varying d...
Article
Recently, a polygonal boundary element method (PBEM) has been developed for solving heat conduction problems. In the PBEM, the radial integration method (RIM) is employed to shift the domain and surface integrals in the boundary-domain integral equation into equivalent line integrals, and all the radial integrals are computed by Gaussian quadrature...
Article
Full-text available
The interaction between the laser and material is commonly described by the macroscale method, two-temperature model (TTM), and the microscale method, molecular dynamics. In the present paper, the melting and resolidification of ultrashort laser interaction with thin gold film is investigated in terms of a meso-scale method. The lattice Boltzmann m...
Article
Accurately determining boundary conditions in a scramjet combustor is of great importance for modeling the coupled process of fuel burning, fluid flow and heat transfer in the scramjet combustor, and for design and optimization of the cooling system. In this paper, a new methodology is proposed for determining boundary conditions at inaccessible su...
Article
Slab surface radiative emissivities severely affect the radiative heat transfer in a reheating furnace, as well as the slabs’ coupled conduction, convection, and radiation. Accurate evaluation of these parameters is of significance to ensure the high accuracy of the mathematical model for a reheating furnace, which is beneficial to the energy savin...
Article
Full-text available
The rapid melting and resolidification in femtosecond laser interaction with a single nanoparticle are investigated analytically. The dual-hyperbolic two-step (DHTS) model is coupled with the interfacial tracking method to describe the ultrafast melting and resolidification behavior. The optical reflectivity is solved using the Mie theory. Comparis...
Article
Full-text available
The purpose of this paper is to investigate and compare three kinds of two temperature models (TTMs) including the parabolic two-step (PTS) model, the hyperbolic two-step (HTS) model, and the dual-hyperbolic two-step (DHTS) model. First, the thin gold films subject to pico- to femtosecond laser pulses are simulated according to these three TTMs. Co...
Article
Full-text available
The rapid melting and resolidification of gold films irradiated by laser pulses less than 100 fs are investigated using the dual-hyperbolic two-step model. The solid-liquid interfacial velocity in the ultrafast phase change process is obtained by coupling a hyperbolic interfacial energy balance equation and nucleation dynamics. The results are comp...
Article
The objective of this paper is to find a more appropriate source term for heat conduction in a nanoparticle subject to ultrashort laser irradiation. Monte Carlo simulation based on Mie's theory is used to investigate the heat source distribution in a single nanoparticle subject to ultrashort laser irradiation. The results show that when the particu...
Article
For the cases that the characteristic time is comparable to the relaxation time of the energy carriers, heat conduction can be interpreted as a form of wave propagation. In this article, the wave effects of both electron and lattice temperatures during interaction of two symmetric femtosecond laser beams with thin gold film are investigated using a...

Citations

... Unlike the above numerical methods, the element differential method (EDM) [18] is a strong-form technique to solve ordinary or partial differential equations. The most important feature of the EDM is that the derived spatial derivatives can be directly substituted into the governing equation and boundary conditions to form the final system of algebraic equations [19]. ...
... for all test functions q ∈ L 2 ( c ). Conversely, for the smooth solution (u, p) ∈ H 2 ( c ) 2 × H 1 ( c ), the boundary conditions on the stress in (5)-(9) follow from the variational inequality (27) after applying Green's formula (26). Proposition 2.1: (Well-posedness of the weak Stokes problems). ...
... The simulation results were satisfactorily consistent with analytical solutions. Li and Wu [22]established the LBM with interfacial tracking method to investigate the melting and solidification of thin gold film and compared the results with those of Two-Temperature Model (TTM). ...
... Moreover, the temperature rises and pollutant emission standards [3,4] for aero engines are being raised. Therefore, the manufacturing and thermal management of the combustor is becoming challenging [5]. There are two ways to reduce the harmful effects of high temperature on combustor life [6]. ...
... They then used PSO optimization technique to find appropriate sensor locations on the wall and solved the system of equations, to obtain the plume strength and location. Cui et al. [14] approximated the surface emissivity in a reheating furnace by introducing an inverse methodology that includes heat radiation, conduction and convection. ...
... Most of these studies focused on experimental investigation. Some theoretical studies on ultrafast laser-NP interaction have recently been reported [8][9][10]. A two-temperature model (TTM) integrated with phase change models was used to simulate the sintering of Au/Cu NPs using singleshot ultrafast lasers [8,9]. ...
... From the literature analysis, it can be seen that, for the heat transfer of laminated structures, numerical methods are mostly used, and the boundary conditions generally do not change with time. e transient heat transfer of multilayer materials is a nonlinear problem because the thermophysical parameters of each layer are different; in addition, the boundary conditions change with time, and it is difficult to obtain the analytical solution of the problem directly [20][21][22][23]. In this paper, the boundary conditions are differentiated in the time domain, and a special method of separating variables is used to obtain the analytical solution of the temperature field of the laminated structure in a small time period, and then, the cycle is carried out to obtain the analytical solution of the temperature field in the whole time domain. ...
... For this reason, they proposed the electron-lattice two temperature model (TTM). In the original TTM model, Fourier's law is still used to describe the transfer of heat (parabolic two-step model, PTS), but Li et al. [12,13] found the hyperbolic two-step model (HTS) obtained by replacing Fourier's law with CV model is more reliable through melting threshold experiments [14]. Unlike the heat transfer mechanism of metals, metalloid solids accomplish this process by lattice vibration. ...
... As in light and sound, the wavelike characteristics of thermal waves are fascinating. The phenomena, such as overshooting [36,37], diffraction [38,39], reflection [40][41][42][43][44][45][46][47], refraction [48] and dispersion [49], have been investigated in detail. In particular, the behaviors of thermal waves at an interface have been studied for its importance in multilayered composite material heat conduction [5,9,[50][51][52][53][54][55][56][57][58][59]. ...