Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point

Zhu Yue-rui; Yao Zhao-kang

Volume 6 Issue 12

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(12): 1087-1099

Zhu Yue-rui, Yao Zhao-kang. Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point[J]. Applied Mathematics and Mechanics, 1985, 6(12): 1087-1099.

Citation:

Zhu Yue-rui, Yao Zhao-kang. Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point[J]. Applied Mathematics and Mechanics, 1985, 6(12): 1087-1099.

Citation:

Zhu Yue-rui, Yao Zhao-kang. Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point[J]. Applied Mathematics and Mechanics, 1985, 6(12): 1087-1099.

PDF( 687 KB)

Higher Order Theory Across a Three-Dimensional Axially-Symmetrical Curved Shock Near the Stagnation Point

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai

Received Date: 1984-05-03
Publish Date: 1985-12-15

Abstract

Abstract

The next order conditions across a three-dimensional curved shock near stagnation point have been established, including the effects of heat conduction, viscosity and the shock structure. These shock conditions involve the local shock curvature in addition to its local inclination. Explicit results have been obtained for the correctional formulations in the mass flux across the shock, the stagnation enthalpy, the tangential component of velocity and the normal component of momentum flux.

FullText(HTML)

References(5)

References

[1]	Chow,R.and Ting Lu(丁汝),Higher order theory of curved shock,Polytechnic Institute of Brooklyn,Aug.(1960).Aeronautical Research Laboratory Contract,No.AF33(616) -6118,Project No.7064,Task No.70169.
[2]	Tsien,H.S.,The equation of gas dynamics,H.W.Emmons(Editor),Fundamentals of Gas Dynamics,Princeton University Press,Princeton,N.J.(1958).
[3]	Richard,V.M.,Mathematics Theory of Compressible Fluid Flow,Academic Press,Inc.New York(1958).
[4]	Morduchow,M.and P.A.Libby,On a complete solution of the one-dimensional flow equations of viscous,heat-conducting compressible gas,Journal of the Aeronautical Sciences,16,11,Nov.(1949).
[5]	Liebber,P.,F.Romano and H.Lew,Approximate solutions of shock waves in a steady,one-dimensional viscous and compressible gas,Journal of the Aeronautical Sciences,18,1,Jan.(1951).

Relative Articles

[1]	MENG Dejia, DENG Dawen. Global Smooth Solutions With Exponential Growth to 2D Inviscid Boussinesq Equations Without Heat Conduction and 3D Axisymmetric Incompressible Euler Equations on Smooth Domains[J]. Applied Mathematics and Mechanics, 2019, 40(8): 910-916. doi: 10.21656/1000-0887.390245
[2]	QIAO Song, SHANG Xin-chun. 3D Scattering and Dynamic Stress Concentration of SH Waves in Spherical Shells With Spherical Inclusions[J]. Applied Mathematics and Mechanics, 2016, 37(5): 522-533. doi: 10.3879/j.issn.1000-0887.2016.05.008
[3]	LI Lan, ZHENG Huai, LUO Xiao-bing. 3-Dimensional Lattice Boltzmann Simulation of Phosphor Jel Dispensing Process in Light Emitting Diodes[J]. Applied Mathematics and Mechanics, 2014, 35(3): 264-271. doi: 10.3879/j.issn.1000-0887.2014.03.004
[4]	LI Dian-sen, LU Zi-xing, LU Wen-shu. Theoretical Prediction of the Stiffness and Strength of Three-Dimensional and Four-Directional Braided Composites[J]. Applied Mathematics and Mechanics, 2008, 29(2): 149-156.
[5]	A. Chattopadhyay. Reflection for Three-Dimensional Plane Waves in Triclinic Crystalline Medium[J]. Applied Mathematics and Mechanics, 2007, 28(10): 1166-1174.
[6]	HOU Peng-fei, DING Hao-jiang, LEUNG Andraw-yt. Three-Dmensional Interactions of a Circular Crack in a Transversely Isotropic Piezoelectric Space With Resultant Sources[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1261-1270.
[7]	LI Yong-chi, YAO Lei, HU Xiu-zhang, CAO Jie-dong, DONG Jie. Some Problems on the Jump Conditions of Shock Waves in 3-Dimensional Solids[J]. Applied Mathematics and Mechanics, 2006, 27(2): 170-176.
[8]	MIAO Yu, WANG Yuan-han. Meshless Analysis for Three-Dimensional Elasticity With Singular Hybrid Boundary Node Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 597-604.
[9]	GAO Qiang, LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733.
[10]	LUO Shao-ming, ZHANG Xiang-wei, LÜ Wen-ge, JIANG Dong-ru. Theoretical Study of Three-Dimensional Numerical Manifold Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1027-1032.
[11]	YANG You-fa, XU Shao-qian, ZHONG Zheng-hua. Studies on Stress Transference Mechanism of Steel Fibre Reinforced Concrete[J]. Applied Mathematics and Mechanics, 2001, 22(4): 425-434.
[12]	Lin Chang, Zhang Xiulian. Study of the Nonlinear Three-Dimensional Debye Screening in Plasmas[J]. Applied Mathematics and Mechanics, 2000, 21(5): 511-515.
[13]	Xiao Wanshen, Zeng Qingyuan, Liu Qingtan. Three-Dimensional Analysis on Plates[J]. Applied Mathematics and Mechanics, 1997, 18(9): 833-844.
[14]	Yang Zhonghua, Ye Ruisong. Double High Order S-Breaking Bifurcation Points and Their Numerical Determination[J]. Applied Mathematics and Mechanics, 1996, 17(7): 601-612.
[16]	Jiang You-liang. On the Completeness for a 3-D Linear Theory of Composite Laminate[J]. Applied Mathematics and Mechanics, 1994, 15(7): 647-655.
[17]	Qian Wei-zhang, Huang Qian, Feng Wei. 3-D Numerical Study on the Bending of Symmetric Composite Laminates[J]. Applied Mathematics and Mechanics, 1994, 15(1): 1-6.
[18]	Jiang Xiao-yu, Zhang Xiang-zhou. Nonlinear Three-Dimension Analysis for Axially Sym-metrical Circular Plates and Multilayered Plates[J]. Applied Mathematics and Mechanics, 1993, 14(8): 715-727.
[19]	Liu Ci-qun. Exact Solution of Unsteady Axisymmetrical Two- Dimensional Flow through Triple Porous Media[J]. Applied Mathematics and Mechanics, 1983, 4(5): 649-655.
[20]	Li Yong-chi, T. C. T. Ting. Lagrangian Description of Transport Equations for Shock Waves in Three-Dimensional Elastic Solids[J]. Applied Mathematics and Mechanics, 1982, 3(4): 449-462.