In this paper, the asymptotic behavior of the global smooth solutions to the Cauchy problem for the one-dimensional nonisentropic Euler-Poisson （or full hydrodynamic） model for semiconductors, where the energy equat...In this paper, the asymptotic behavior of the global smooth solutions to the Cauchy problem for the one-dimensional nonisentropic Euler-Poisson （or full hydrodynamic） model for semiconductors, where the energy equation with non-zero thermal conductivity coefficient are contained, is discussed. The global existence of smooth solutions for the Cauchy problem with small perturbed initial data is proved. In particular, that the solutions converge to the corresponding stationary solutions exponentially fast as t → ∞ is showed.展开更多
An effective fire and smoke propagation model is important for evaluating building safety, indicating safe rescue paths in emergencies, and determining proper control strategies. In this paper, a new model to simulate...An effective fire and smoke propagation model is important for evaluating building safety, indicating safe rescue paths in emergencies, and determining proper control strategies. In this paper, a new model to simulate smoke propagation and to characterize mixing behavior is developed. In this model, a function considering the mixing behavior between the hot smoke and cool air is introduced to better resolve the temperature and smoke profiles in the vertical direction. Smoothed particle hydrodynamics (SPH) approach is used to obtain the function distribution through reconstructing velocities of marker particles and determining locations of particles in each layer in the zone model. The fundamentals of the model are presented in detail in this paper. A test (a simple building with experimental data and CFD simulation) is used to verify the model, in which experimental data and CFD simulations are compared to predictions from the new model and those from a two-layer model implemented using CFAST (Consolidated Model of Fire and Smoke Transport, developed by NIST). Favorable agreement of the new model results is seen with experiment data or CFD simulations. The new model also provides more accurate prediction of temperature distribution in comparison to the two-layer model.展开更多
基金the Youngth Program of Hubei Provincial Department of Education (Q200628002)the Innovation Program of Shanghai Municipal Education Commission (08YZ72)
文摘In this paper, the asymptotic behavior of the global smooth solutions to the Cauchy problem for the one-dimensional nonisentropic Euler-Poisson （or full hydrodynamic） model for semiconductors, where the energy equation with non-zero thermal conductivity coefficient are contained, is discussed. The global existence of smooth solutions for the Cauchy problem with small perturbed initial data is proved. In particular, that the solutions converge to the corresponding stationary solutions exponentially fast as t → ∞ is showed.
基金supported by the National Natural Science Foundation of China (50804027)
文摘An effective fire and smoke propagation model is important for evaluating building safety, indicating safe rescue paths in emergencies, and determining proper control strategies. In this paper, a new model to simulate smoke propagation and to characterize mixing behavior is developed. In this model, a function considering the mixing behavior between the hot smoke and cool air is introduced to better resolve the temperature and smoke profiles in the vertical direction. Smoothed particle hydrodynamics (SPH) approach is used to obtain the function distribution through reconstructing velocities of marker particles and determining locations of particles in each layer in the zone model. The fundamentals of the model are presented in detail in this paper. A test (a simple building with experimental data and CFD simulation) is used to verify the model, in which experimental data and CFD simulations are compared to predictions from the new model and those from a two-layer model implemented using CFAST (Consolidated Model of Fire and Smoke Transport, developed by NIST). Favorable agreement of the new model results is seen with experiment data or CFD simulations. The new model also provides more accurate prediction of temperature distribution in comparison to the two-layer model.
