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991.
992.
Andreas Weber 《Mathematical Physics, Analysis and Geometry》2009,12(1):75-95
We determine the L
p
spectrum of the Laplace-Beltrami operator on certain complete locally symmetric spaces M whose universal covering X is a symmetric space of non-compact type with rank one. More precisely, we show that the L
p
spectra of M and X coincide if the fundamental group of M is small and if the injectivity radius of M is bounded away from zero. In the L
2 case, the restriction on the injectivity radius is not needed.
相似文献
993.
994.
Roman Fursenko Sergey Mokrin Sergey Minaev 《Proceedings of the Combustion Institute》2019,37(2):1655-1661
Stationary combustion regimes, their linear stability and extinction limits of stretched premixed flames in a narrow gap between two heat conducting plates are studied by means of numerical simulations in the framework of one-dimensional thermal-diffusion model with overall one-step reaction. Various stationary combustion modes including normal flame (NF), near-stagnation plane flame (NSF), weak flame (WF) and distant flame (DF) are detected and found to be analogous to the same-named regimes of conventional counterflow flames. For the flames stabilized in the vicinity of stagnation plane at moderate and large stretch rates (which are NF, NSF and WF) the effect of channel walls is basically reduced to additional heat loss. For distant flame characterized by large flame separation distance and small stretch rates intensive interphase heat transfer and heat recirculation are typical. It is shown that in mixture content / stretch rate plane the extinction limit curve has ε-shape, while for conventional counterflow flames it is known to be C-shaped. This result is quite in line with recent experimental findings and is explained by extension of extinction limits at small stretch rates at the expense of heat recirculation. Analysis of the numerical results makes possible to reveal prime mechanisms of flame quenching on different branches of ε-shaped extinction limit curve. Namely, two upper limits are caused by stretch and heat loss. These limits are direct analogs of the upper and lower limits on conventional C-shaped curve. Two other limits are related with weakening of heat recirculation and heat dissipation to the burner. Thus, the present study provides a satisfactory explanation for the recent experimental observations of stretched flames in narrow channel. 相似文献
995.
Non-contact temperature measurement in a nuclear reactor is still a huge challenge because of the numerous constraints to consider, such as the high temperature, the steam atmosphere, and irradiation. A device is currently developed at CEA to study the nuclear fuel claddings behavior during a Loss-of-Coolant Accident. As a first step of development, we designed and tested an optical pyrometry procedure to measure the surface temperature of nuclear fuel claddings without any contact, under air, in the temperature range 700–850 °C. The temperature of Zircaloy-4 cladding samples was retrieved at various temperature levels. We used Multispectral Radiation Thermometry with the hypothesis of a constant emissivity profile in the spectral ranges 1–1.3 µm and 1.45–1.6 µm. To allow for comparisons, a reference temperature was provided by a thermocouple welded on the cladding surface. Because of thermal losses induced by the presence of the thermocouple, a heat transfer simulation was also performed to estimate the bias. We found a good agreement between the pyrometry measurement and the temperature reference, validating the constant emissivity profile hypothesis used in the MRT estimation. The expanded measurement uncertainty (k = 2) of the temperature obtained by the pyrometry method was ±4 °C, for temperatures between 700 and 850 °C. Emissivity values, between 0.86 and 0.91 were obtained. 相似文献
996.
We investigate the coherent phonon thermal transport at low temperatures in Gold nanowires, in order to study the effects of scattering on the lattice thermal conductivity. Three types of shaped joint nanostructures are employed in our calculation. We present a detailed study of the thermal conductance as a function of the temperature for different shaped joint. This is done by solving the phonon Boltzmann transport equation in the ballistic regime and calculating the transmission rates of the vibration modes through the consideration of the phonon group velocity modification in the system. The transmission properties are calculated by use of the matching method in the harmonic approximation with nearest and next nearest neighbor force constants. The results show that the transmission probabilities depend on the type of joint nanostructure. The pronounced fluctuations of the transmission spectra as a function of the frequency can be understood as Fano resonances. It is also found that the behavior of the thermal conductance versus temperature is qualitatively different for different nanostructures and depends sensitively on the width of the shaped joint. 相似文献
997.
Closed-form solutions are derived to the problem of an edge dislocation or a steady line heat source at the center of a multicoated circular inhomogeneity by using the complex variable method and the transfer matrix method. The problem is reduced to a single linear algebraic equation which determines the single unknown real coefficient appearing in the complex stress functions defined in the surrounding matrix. The other unknown real coefficient in the complex stress functions in the inhomogeneity can then be conveniently determined. 相似文献
998.
In this paper, a numerical method is presented to investigate the Electrohydrodynamic effect using micropolar fluid model. The EHD flow for the forced convection heat transfer in a smooth channel is simulated. The computed results were compared with the fully turbulent flow approach. It is found that the micropolar model can be used to simulate the hydraulically laminar flow. In addition, the heat transfer enhancement has the same efficiency for both the micropolar and the k-ε models. The change of the applied voltage and the Reynolds number caused various deviations of the results obtained from the two approaches up to a maximum of 20.79%, and a minimum of 0.03%. 相似文献
999.
We study the model, describing a nonlinear diffusion process (or a heat propagation process) in an inhomogeneous medium with non-stationary absorption (or source). We found tree submodels of the original model of the nonlinear diffusion process (or the heat propagation process), having different symmetry properties. We found all invariant submodels. All essentially distinct invariant solutions describing these invariant submodels are found either explicitly, or their search is reduced to the solution of the nonlinear integral equations. For example, we obtained the invariant solution describing the nonlinear diffusion process (or the heat distribution process) with two fixed "black holes", and the invariant solution describing the nonlinear diffusion process (or the heat distribution process) with the fixed "black hole" and the moving "black hole". The presence of the arbitrary constants in the integral equations, that determine these solutions provides a new opportunities for analytical and numerical study of the boundary value problems for the received submodels, and, thus, for the original model of the nonlinear diffusion process (or the heat distribution process). For the received invariant submodels we are studied diffusion processes (or heat distribution process) for which at the initial moment of the time at a fixed point are specified or a concentration (a temperature) and its gradient, or a concentration (a temperature) and its rate of change. Solving of boundary value problems describing these processes are reduced to the solving of nonlinear integral equations. We are established the existence and uniqueness of solutions of these boundary value problems under some additional conditions. The obtained results can be used to study the diffusion of substances, diffusion of conduction electrons and other particles, diffusion of physical fields, propagation of heat in inhomogeneous medium. 相似文献
1000.
Comparisons of Heat Transfer Enhancement of an Internal Blade Tip with Metal or Insulating Pins 下载免费PDF全文
Cooling methods are needed for turbine blade tips to ensure a long
durability and safe operation. A common way to cool a tip is to use
serpentine passages with 180-deg turn under the blade tip-cap taking
advantage of the three-dimensional turning effect and impingement like
flow. Improved internal convective cooling is therefore required to
increase the blade tip lifetime. In the present study, augmented heat
transfer of an internal blade tip with pin-fin arrays has been investigated
numerically using a conjugate heat transfer method. The computational domain
includes the fluid region and the solid pins as well as the tip regions.
Turbulent convective heat transfer between the fluid and pins, and heat
conduction within pins and tip are simultaneously computed. The main
objective of the present study is to observe the effect of the pin
material on heat transfer enhancement of the pin-finned tips. It is
found that due to the combination of turning, impingement and pin-fin
crossflow, the heat transfer coefficient of a pin-finned tip is a factor
of 2.9 higher than that of a smooth tip at the cost of an increased pressure
drop by less than 10%. The usage of metal pins can reduce the tip temperature
effectively and thereby remove the heat load from the tip. Also, it is found
that the tip heat transfer is enhanced even by using insulating pins having
low thermal conductivity at low Reynolds numbers. The comparisons of overall
performances are also included. 相似文献