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Fin materials can be observed in a variety of engineering applications. They are used to ease the dissipation of heat from a heated wall to the surrounding environment. In this work, we consider a nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. The equation(s) under study are highly nonlinear. Both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature. Firstly, we consider the Lie group analysis for different cases of thermal conductivity and the heat transfer coefficients. These classifications are obtained from the Lie group analysis. Then, the first integrals of the nonlinear straight fin problem are constructed by three methods, namely, Noether’s classical method, partial Noether approach and Ibragimov’s nonlocal conservation method. Some exact analytical solutions are also constructed. The obtained result is also compared with the result obtained by other methods. 相似文献
54.
The reaction of anhydrous YbCl3 with 1 equiv, of Li2Me2Si(NPh)2 in THF, after workup, yielded a ytterbium(Ⅲ) chloride [{Me2Si(NPh)2Yb}(μ2-CI)(TMEDA)]2·3PhMe (1) (TMEDA=tetramethylethanediamine). The same reaction followed by treatment with Na-K alloy afforded a new ytterbium(H) complex supported by a bridged diamide with four coordinated LiC1 molecules, [{Me2Si(NPh)2Yb(THF)2}(μ3-CI)(μ4-CI){Li(THF)}2]2·2THF (2) in high yield. Both complexes were structurally characterized by X-ray analysis to be dimers. Complex 1 was a chlorine-bridged dimer with ytterbium in a distorted octahedral geometry. In complex 2 two [Me2Si(NPh)2Yb(THF)2]- (μ3-CI)[Li(THF)]2 moieties were connected with each other by two μ4-CI bridges to form a "chair-form" framework. 相似文献
55.
P. Potera S. Ubizskii YA. Zhydachevskii D. Sugak Solskii T. Lukasiewicz 《辐射效应与固体损伤》2013,168(12):821-824
The present work is devoted to investigation of optical absorption in pure and neodymium-doped YAlO3 (YAP) single crystals in the spectral range 0.2–1.1 μm induced by the influence of 12C ions irradiation with energy 4.50 MeV/u (MeV per nucleon) and a fluence 2 × 109 cm?2 or of 235U ion irradiation with energy 9.35 MeV/u and a fluence 5 × 1011 cm?2. The induced absorption in the case of 12C ions irradiation is caused by recharging of point growth defects and impurities under the radiation influence. After irradiation by 235U ions with fluence 5 × 1011 cm?2 the strong absorption rise is probably caused by contribution of the lattice destruction as a result of heavy ion bombardment. 相似文献
56.
V. N. Kravchenko N. YA. Minina A. M. Savin I. V. Berman O. P. Hansen C. B. Sorensen 《高压研究》2013,33(2):305-308
Anisotropy of the piezoresistance relaxations has been observed in p -(0 0 1)GaAs/Al 0.5 Ga 0.5 As heterostructures. The character of relaxation process depends on the direction of the applied uniaxial compression: after loading along [1 m 1 0] direction the specimen resistance relaxes down to the lower magnitude while after loading along [1 1 0] direction it relaxes up to the higher magnitude. Shubnikov-de Haas oscillations and Hall effect measurements indicate that variation of the carrier concentration j N in the quantum well during relaxation processes has different signs for uniaxial compression along [1 m 1 0] and [1 1 0] directions and correlates with the corresponding change of the resistance. The piezoelectric field that in GaAs can reach the magnitude E =1.152 2 10 6 V/m at uniaxial stress P =1 kbar along d 1 1 0 ¢ directions is supposed to be responsible for the metastable state after loading (unloading) and redistribution of carriers during the relaxation process. 相似文献
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58.
Yu. G. Osokin M. YA. Grinberg V. Sh. Feldblyum O. A. Yasinskii V. V. Plachtinskii E. R. Kofanov V. A. Ustinov G. S. Mironov 《Reaction Kinetics and Catalysis Letters》1978,9(2):189-192
The isomerization kinetics of 5-vinylbicyclo [2,2,1]-hept-1ene to 5-enthylidenbicyclo [2,2,1] hept-2-ene in the presence of iron pentacarbonyl and parasubstituted anilines has been investigated. The kinetic data correlate with -constants of the substitutes according to Jaffe.
5- [2,2,1]-2- 5- [2,2,1] -2- - . - .相似文献
59.
N. YA. Turova E. P. Turevskaya V. G. Kessler M. I. Yanovskaya 《Journal of Sol-Gel Science and Technology》1994,2(1-3):17-23
X-ray structural analysis of crystalline alkoxides in many cases reveals that along with OR-groups their molecules also contain oxo-ligands. The following possible reactions leading to formation of oxoalkoxides have been discussed: hydrolysis, pyrolysis (frequently uncontrollable), ether elimination, oxidation of OR-groups (which exist in solutions of alkali, alkaline-earth and rare earth elements), or alkoxides of the lower oxidation states (which are formed by reduction of M(OR)
n
on cathode during electrolysis or by hydrogen in statu nascendi). Oligomeric oxoalkoxides differ from the polymeric alkoxides M(OR)
n
in considerably higher solubility and reactivity. The most important role of oxoalkoxides in the processes of formation of oxides has been demonstrated using as an example preparation of BaTiO3 from alkoxides. 相似文献
60.