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991.
The Ramanujan Journal - For $$h \ge 2$$ and an infinite set of positive integers A, let $$R_{A,h}(n)$$ denote the number of representations of the positive integer n as the sum of h distinct terms... 相似文献
992.
A Review of Results on Axially Symmetric Navier-Stokes Equations,with Addendum by X. Pan and Q. Zhang 下载免费PDF全文
Qi Zhang & Xinghong Pan 《分析论及其应用》2022,38(3):243-296
In this paper, we give a brief survey of recent results on axially symmetric
Navier-Stokes equations (ASNS) in the following categories: regularity criterion, Liouville property for ancient solutions, decay and vanishing of stationary solutions. Some
discussions also touch on the full 3 dimensional equations. Two results, closing of the
scaling gap for ASNS and vanishing of homogeneous D solutions in 3 dimensional
slabs will be described in more detail.In the addendum, two new results in the 3rd category will also be presented, which
are generalizations of recently published results by the author and coauthors. 相似文献
993.
This paper presents the results of an experimental study of natural convection heat transfer between a horizontal cylindrical envelope and an internal concentric heated square cylinder with two slots. The internal cylinder was a hollow one with horizontal slots on its top and bottom surfaces. The ratio of slot widthS to the side heightH was 0.0612 and 0.3878. The ratio of the envelope inner diameterD
o
to the side heightH was 2.653. Air was used as the working fluid. The range of Ray-leigh number was 1.77×1028.72×106 forS/H=0.0612 and 1.32×1026.25×106 forS/H=0.3878. The results show that there are three different heat transfer regimes in different Ray-leigh number regions, i.e. pure conduction regime, transition regime and convection regime. The average heat transfer results were correlated into two empirical equations. Comparison was made with the non-slotted case. It is found that slots of the internal cylinder can significantly enhance the heat transfer.
Nomenclature C p specific heat at constant pressure, J/(kg·K) - D i diameter of the related circular cylinder whose circumferential area is equal to that of the unslotted square cylinder, m - D o internal diameter of the outer circular envelope, m - F i surface area of the inner two slot cylinder, m - g gravitational acceleration, m/s2 - H distance between the opposite sides of the square cylinder with two slots, m - K eq dimensionless equivalent thermal conductivity - L axial length of the test section, m - m ratio of the area of the unslotted square cylinder surface to that of the slotted square cylinder - P pressure in the enclosure, Pa - Q total power input to the enclosure, W - Q cond radial heat conduction, W - Q conv convective heat transfer, W - Q r radiation heat transfer, W - Q los end heat dissipation, W - R air gas constant, J/(kg·K) - Ra Rayleigh number - S slot width, m - T i wall temperature of the inner cylinder, K - T o wall temperature of the outer envelope, K - T m mean temperature, K - T temperature difference=T i –T o , K - W maximum gap width of the test annuli=(D o –H)/2 for the square case, m Greek symbols 0 black body radiation constant, W/(m2·K4) - s equation system emissivity - air thermal conductivity, W/(m·K) - eq equivalent thermal conductivity, W/(m·K) - air dynamic viscosity, kg/(m·s) This work was supported by the National Natural Science Foundation of China. 相似文献
Experimentelle Untersuchung des Wärmeübergangs bei natürlicher Konvektion zwischen einer horizontalen zylindrischen Außenhülle und einem konzentrischen, beheizten, quadratischen Prisma mit zwei Schlitzen
Zusammenfassung In der Arbeit werden die Ergebnisse einer experimentellen Untersuchung des Wärmeübergangs bei natürlicher Konvektion zwischen einer horizontalen zylindrischen Außenhülle und einem beheizten quadratischen Prisma mit zwei Schlitzen vorgestellt. Das Prisma selbst ist hohl und weist in der oberen und unteren Begrenzungsfläche je einen horizontalen Längsschlitz auf. Das Verhältnis von SchlitzweiteS zu SeitenhöheH beträgt 0,0612 und 0,3878, das des HülleninnendurchmessersD o zur SeitenhöheH beträgt 2,653. Als Arbeitsmedium diente Luft. Die Rayleigh-Zahlen variierten zwischen 1,7·102 und 8,72·106 fürS/H=0,0612 und zwischen 1,32·102 und 6,25·106 fürS/H=0,3878. Die Ergebnisse belegen die Existenz dreier unterschiedlicher Wärmeübergangsregime in den verschiedenen Rayleigh-Zahl-Bereichen, und zwar reiner Leitungsbereich, Übergangsgebiet und Konvektionsbereich. Die Ergebnisse für den Wärmeübergang werden im Vergleich mit jenen für ein Prisma ohne Schlitze durch zwei Korrelationbeziehungen dargestellt. Es zeigt sich, daß durch Anbringung von Schlitzen am Innenprisma der Wärmeübergang wesentlich verstärkt werden kann.
Nomenclature C p specific heat at constant pressure, J/(kg·K) - D i diameter of the related circular cylinder whose circumferential area is equal to that of the unslotted square cylinder, m - D o internal diameter of the outer circular envelope, m - F i surface area of the inner two slot cylinder, m - g gravitational acceleration, m/s2 - H distance between the opposite sides of the square cylinder with two slots, m - K eq dimensionless equivalent thermal conductivity - L axial length of the test section, m - m ratio of the area of the unslotted square cylinder surface to that of the slotted square cylinder - P pressure in the enclosure, Pa - Q total power input to the enclosure, W - Q cond radial heat conduction, W - Q conv convective heat transfer, W - Q r radiation heat transfer, W - Q los end heat dissipation, W - R air gas constant, J/(kg·K) - Ra Rayleigh number - S slot width, m - T i wall temperature of the inner cylinder, K - T o wall temperature of the outer envelope, K - T m mean temperature, K - T temperature difference=T i –T o , K - W maximum gap width of the test annuli=(D o –H)/2 for the square case, m Greek symbols 0 black body radiation constant, W/(m2·K4) - s equation system emissivity - air thermal conductivity, W/(m·K) - eq equivalent thermal conductivity, W/(m·K) - air dynamic viscosity, kg/(m·s) This work was supported by the National Natural Science Foundation of China. 相似文献
994.
G. K. Agrafiotis M. Z. Tsoukalas 《The Journal of the Operational Research Society》1995,46(10):1269-1280
In this paper a class of correlated cumulative processes, B s (t) = ∑N(t)i=1 H s (X i )X i , is studied with excess level increments X i ?s, where {N(t), t ?0} is the counting process generated by the renewal sequence T n , T n and X n are correlated for given n, H s (t) is the Heaviside function and s?0 is a given constant. Several useful results, for the distributions of B s (t), and that of the number of excess (non-excess) increments on (0, t) and the corresponding means, are derived. First passage time problems are also discussed and various asymptotic properties of the processes are obtained. Transform results, by applying a flexible form for the joint distribution of correlated pairs (T n , X n ) are derived and inverted. The case of non-excess level increments, X i < s, is also considered. Finally, applications to known stochastic shock and pro-rata warranty models are given. 相似文献
995.
G. Zöller S. Hainzl C. R. Münz M. Beyer 《Zeitschrift fur Physik C Particles and Fields》1995,68(1):103-111
In the framework of the instantaneous Bethe Salpeter equation we investigate weak decays ofB andD mesons. Mesons are described asq $\bar q$ states interacting via a mixture of a scalar and a vector confining kernel and a one gluon exchange. The model parameters are fixed by a fit to the meson mass spectrum including also the light mesons. We calculate form factors and compare our results to the pole dominance hypothesis. From a fit to ARGUS and CLEO data onB→D *?v semileptonic decay we extract the Cabbibo Kobayashi Maskawa matrix element to beV cb =(0.032 ± 0.003)(1.49ps/τ b )1/2 The Isgur Wise function is calculated utilizing the heavy quark mass limit. Finally, we give some results on nonleptonic decays. 相似文献
996.
N. M. Agababyan I. V. Ajinenko M. R. Atayan K. Belous M. Charlet P. V. Chliapnikov E. A. De Wolf K. Dziunikowska A. M. F. Endler Z. Sh. Garutchava H. R. Gulkanyan R. Sh. Hakobyan J. K. Karamyan D. Kisielewska W. Kittel S. S. Mehrabyan Z. V. Metreveli L. C. S. Oliveira K. Olkiewicz F. K. Rizatdinova E. K. Shabalina L. N. Smirnova M. D. Tabidze L. A. Tikhonova A. G. Tomaradze F. Verbeure S. A. Zotkin 《Zeitschrift fur Physik C Particles and Fields》1995,66(3):409-415
The angular dependence of Bose-Einstein correlations is studied in interactions of + andK
+ mesons with protons and nuclei at 250 GeV/c. The pion source is found to be elongated along the interaction axis in the c.m.s., with the ratioa between transverse and longitudinal dimension equal to 0.55±0.06 for the case of proton, 0.53±0.13 for the case ofAl and 0.33±0.21 for the case ofAu target. For meson-proton interactions, indication for an increase of the elongation is found with increasing event multiplicity, pair momentum and particle transverse momentum.Now at UIA, Wilrijk, Belgium 相似文献
997.
S. V. Golovkin A. P. Kozhevnikov V. P. Kubarovsky A. I. Kulyavtzev V. F. Kurshetsov A. I. Kushnirenko L. G. Landsberg V. V. Molchanov V. A. Mukhin V. I. Solyanik D. V. Vavilov V. A. Victorov M. Ya. Balatz G. V. Dzubenko A. D. Kamenskii G. K. Kliger V. Z. Kolganov V. S. Lakaev G. S. Lomkatzi A. P. Nilov V. T. Smolyankin V. E. Vishnyakov 《Zeitschrift fur Physik C Particles and Fields》1995,68(4):585-594
In the experiments at the SPHINX facility in 70 GeV proton beam of the IHEP accelerator the coherent diffractive production reactions on carbon nucleip+C [(1385)0
K
++C andp+C[0
K
+]+C were investigated. The evidences for new baryon states were obtained in the study of hyperon-kaon effective mass spectra in these two reactions:X (2050) with massM=(2052±6) MeV and width =(35
–35
+22
) MeV inM[(1385)0
K
+] andX(2000) withM=1999±6 MeV and =91±17 MeV inM[0
K
+]. The unusual features of these massive states (small enough decay widths, anomalously large branching ratios for decays with strange particles emission) make them very serious candidates for cryptoexotic pentaquark baryons with hidden strangeness. 相似文献
998.
C. T. Zhang M. Sferrazza R. H. Mayer Z. W. Grabowski P. Bhattacharyya P. J. Daly R. Broda B. Fornal W. Królas T. Pawłat G. de Angelis D. Bazzacco S. Lunardi C. Rossi-Alvarez 《Zeitschrift für Physik A Hadrons and Nuclei》1995,351(1):11-12
Using an 11.4MeV/u136Xe beam of the UNILAC accelerator of GSI and anatW target, A=184 isobars were produced and separated by using an on-line mass separator. A new isomeric state was found in184Hf. This state decays with a half-life of 48(10) s and emits three -rays of 73, 482, and 555 keV as well as lower-lying cascade transitions. The hindrance of the 73 keV-E1 transition with K=8 is compared with those of other even-even hafnium isotopes. The half-life of184Lu was estimated to be between 15 and 25s. 相似文献
999.
M. Daszewski Z. Janas W. Kurcewicz B. Szweryn 《Zeitschrift für Physik A Hadrons and Nuclei》1995,351(2):225-228
The internal bremsstrahlung spectrum of55Fe was studied using HPGe detector in low background and reduced pileup conditions. The data show that the conclusion on the presence of a heavy mass neutrino strongly depends from the experimental decay energy value taken in the analysis. The decay energy was found to beQ
EC
=231.37 ± 0.10 keV. The obtained results also show the need for the higher accuracyQ
EC
used in the analysis of the existence of a 17-keV neutrino in the55Fe decay.The authors would like to thank A. Plochocki and J. ylicz for helpful discussion and assistance. 相似文献
1000.
X. Zhou Y. Guo X. Sun X. Lei X. Chen Z. Liu Y. Zhang H. Jin Y. Luo S. X. Wen G. J. Yuan G. S. Li C. X. Yang 《Zeitschrift für Physik A Hadrons and Nuclei》1995,351(1):3-4
The high spin states of119Te, populated in110Pd(13C,4n) and110Pd(12C,3n) reactions, have been studied through -ray spectroscopy. The level scheme has been established upto a spin of 55/2. Three-quasiparticle states, based on g2
7/2h11/2 and g7/2d5/2h11/2 configurations, have been identified. The 35/2 and 39/2 states are suggested to be the fully aligned states constituted by five valence h11/2
3, g7/2, d5/2 quasiparticles. 相似文献