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An Exact Solution of the Navier-Stokes Equations Navier-Stokes方程的精确解
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.7984
H. Hunter
{"title":"An Exact Solution of the Navier-Stokes Equations","authors":"H. Hunter","doi":"10.2514/8.7984","DOIUrl":"https://doi.org/10.2514/8.7984","url":null,"abstract":"ux = U{1 y /a*) ) t CD p! = Po (2»U/a*) (x Ut)j It can be shown that Eqs. (1) are a nontrivial solution only if y = 1.5. I t seems likely that this solution is part of a more general solution which has other terms involving {y — 1.5). We shall assume that the more general solution is of the form: V = [u(y, z, t), 0, 0], p = const. Under this assumption, the continuity equation is satisfied identically and the remaining Navier-Stokes equations reduce to","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115511727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Comment on Asymptotic Eigenfunctions for Turbulent Heat Transfer in a Pipe 管道紊流换热的渐近特征函数
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.9638
L. S. Dzung
{"title":"Comment on Asymptotic Eigenfunctions for Turbulent Heat Transfer in a Pipe","authors":"L. S. Dzung","doi":"10.2514/8.9638","DOIUrl":"https://doi.org/10.2514/8.9638","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121413344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Minimum Runway Length for an STOL Aircraft 短距起降飞机的最小跑道长度
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.7854
E. Shoemaker
{"title":"Minimum Runway Length for an STOL Aircraft","authors":"E. Shoemaker","doi":"10.2514/8.7854","DOIUrl":"https://doi.org/10.2514/8.7854","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122628350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Magnetohydrodynamic Free-Convection Pipe Flow 磁流体力学自由对流管道流动
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.9158
K. Cramer
{"title":"Magnetohydrodynamic Free-Convection Pipe Flow","authors":"K. Cramer","doi":"10.2514/8.9158","DOIUrl":"https://doi.org/10.2514/8.9158","url":null,"abstract":"Comparison of Flow-Direction Probes at Supersonic Speeds FRANK W. BARRY 750 I HAS BEEN SHOWN 1 tha t transverse magnetic fields of practica strengths exert considerable influence on liquid-metal, freeconvection, vertical, flat-plate and parallel-plate flow fields. The extent of influence was determined by the magnitude of a nondimensional parameter A which is the ratio of the Hartmann number to the fourth root of the Grashof number, and is a measure of the relative influence of the magnetic and buoyant forces. In this note the steady, fully developed, laminar, freeconvection flow of a fluid of electrical conductivity <TQ through a fully submerged, open-ended, constant-temperature, vertical pipe located in a transverse magnetic field of strength B0 is analyzed in terms of the same parameter. The magnitude of its influence on the velocity and temperature profiles, the surface shear and heat transfer, and the volumetric flow rate is determined.","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117104874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Means and Examples of Aeronautical Research in France at ONERA: The Twenty-Second Wright Brothers Lecture 法国航空研究的方法与实例:第22次莱特兄弟讲座
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.8013
M. Roy
{"title":"Means and Examples of Aeronautical Research in France at ONERA: The Twenty-Second Wright Brothers Lecture","authors":"M. Roy","doi":"10.2514/8.8013","DOIUrl":"https://doi.org/10.2514/8.8013","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130583787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Viscous Torque in a Spherical Gas Bearing 球面气体轴承的粘性扭矩
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.9356
T. Yeh
{"title":"Viscous Torque in a Spherical Gas Bearing","authors":"T. Yeh","doi":"10.2514/8.9356","DOIUrl":"https://doi.org/10.2514/8.9356","url":null,"abstract":"rpHE HYDROSTATIC GAS BEARING lias been used in in•*• dustry for many years. On the other hand, while the principle of the hydrodynamic gas bearing has also been known for many years, it has only recently been applied. Not surprisingly, its first application has been in the nuclear field, where bearing lubricants would be adversely affected by radiation. Possibly even more significant has been the application of the hydrodynamic gas bearing in the gyromotor field, where the fantastic accuracies required have led to experimentation with everything from \"atomic\" to cryogenic gyros. It is quite likely that the current interest in, and work on, the spherical gas bearing will lead to other applications because of its inherently high stability and long life. The gyro motors being developed for air and space applications are, by the nature of these applications, limited in size and, thus, power. Aside from initially bringing the gyro wheel up to synchronous speed, power is necessary to overcome the windage loss of the motor and the viscous loss in the gas-bearing gap. I t can be readily seen how important it is to determine accurately the power requirements in such a small motor. The purpose of this paper is to show how to calculate viscous torque in a spherical gas bearing when the bearing eccentricity e is taken into account. For a high value of eccentricity—i.e., above 0.5—the error introduced by neglecting the eccentricity effect is large, and should not be neglected. An expression for the percentage of this error, which is introduced into the cal-","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133882756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Note on the Optimum Distribution of Material in a Beam for Stiffness 关于梁中材料最优刚度分布的注记
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.7614
B. Saelman
{"title":"A Note on the Optimum Distribution of Material in a Beam for Stiffness","authors":"B. Saelman","doi":"10.2514/8.7614","DOIUrl":"https://doi.org/10.2514/8.7614","url":null,"abstract":"T HAS BEEN STATED by some authors1 that the maximum stiff­ ness of a beam for a given weight is attained when the strain energy is a minimum or when the stress is constant. It can be shown that this condition does not, generally, result in maximum stiffness; however, it closely approximates the optimum condition in some cases. The optimum distribution of material for torsional stiffness of tubular beams is such that the thickness is constant around any cross section, and, for positions along the axis of the tube, the wall thickness should be proportional to the square root of the torsional moment and inversely proportional to the enclosed area. For maximum bending stiffness, the effective flange thick­ ness should be proportional to the square root of the bending moment or the square root of the product of the moment and the axial length on the beam, depending on whether angular or linear deflections are being considered. For the case of torsion, stiffness is measured by the amount of angular rotation, and, if t is independent of s, is given by:","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130936925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HYPERSONIC APPROXIMATION OF THE MINIMUM SEMIAPEX ANGLE GIVING SUBSONIC FLOW BEHIND AN ATTACHED SHOCK 在附带激波后产生亚音速流动的最小半顶点角的高超声速近似
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.9709
E. S. Love
{"title":"HYPERSONIC APPROXIMATION OF THE MINIMUM SEMIAPEX ANGLE GIVING SUBSONIC FLOW BEHIND AN ATTACHED SHOCK","authors":"E. S. Love","doi":"10.2514/8.9709","DOIUrl":"https://doi.org/10.2514/8.9709","url":null,"abstract":"Hypersonic approximation of the minimum semiapex angle giving subsonic flow behind an attached shock","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133306916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Errata—"Free Molecular Flow Forces and Heat Transfer for an Infinite Circular Cylinder at Angle of Attack"* 勘误表-“在攻角下无限圆柱的自由分子流动力和热传递”*
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.7932
L. Talbot
{"title":"Errata—\"Free Molecular Flow Forces and Heat Transfer for an Infinite Circular Cylinder at Angle of Attack\"*","authors":"L. Talbot","doi":"10.2514/8.7932","DOIUrl":"https://doi.org/10.2514/8.7932","url":null,"abstract":"","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114072309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Minimum-Weight Rectangular Radiating Fins 关于最小重量矩形辐射鳍
Journal of the Aerospace Sciences Pub Date : 2012-08-30 DOI: 10.2514/8.8784
Chen-Ya Liu
{"title":"On Minimum-Weight Rectangular Radiating Fins","authors":"Chen-Ya Liu","doi":"10.2514/8.8784","DOIUrl":"https://doi.org/10.2514/8.8784","url":null,"abstract":"TEMPERATURE DISTRIBUTION The governing equation of the temperature T(x) in a thin rectangular fin is dT/dx (e<x/kb)T* = 0 (0 < x < L) (1) where e is the emissivity of the fin material, <r is the StefanBoltzmann constant, k is the conductivity, and 2b and L are the fin width and length. The boundary conditions are T = To dT/dx = 0 T = TL Note that the boundary-value problem is completely defined by Eqs. (1), (2), and (3). The additional condition, Eq. (4), is merely used as a parameter which will be uniquely determined. By direct integration of Eq. (1) with boundary conditions, Eqs. (3) and (4), the solution for the temperature distribution along the fin can be written as","PeriodicalId":336301,"journal":{"name":"Journal of the Aerospace Sciences","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114720634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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