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Discontinuous Magnetofluidynamic Flows: Similarity Solutions and Shock Relations

机译：不连续的磁流体动力学流动：相似解和冲击关系

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The work investigates some special solutions of the steady magneto-gas dynamic small-perturbation equations, describing the three transitional flows: transonic, hypercritical, trans-Alfvenic. The physical background, and a qualitative mathematical description are presented, along with the similarity solutions for partial differential equations. The general method of Bluman and Cole is presented in detail, and examples given. Also, it is proved that the similarity lines may support shock waves. These theoretical results are applied for obtaining the similarity variables and equations for transonic and hypercritical flows. Several solutions of these equations are given, and some flows about bodies are constructed showing the different peculiar properties of similarity solutions. (Author)

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Geffen, N.; Lustman, L.;
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年度 1969
页码 p.1-69
总页数 69
原文格式 PDF
正文语种 eng
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关键词
Magnetohydrodynamics ; Equations of motion ; Transonic flow ; Mathematical models ; Partial differential equations ; Hypersonic flow ; Israel;

机译：磁流体动力学;运动方程;跨音速流动;数学模型;偏微分方程;高超声速流动;以色列;

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1. SIMILARITY SOLUTION FOR THE FLOW BEHIND A MAGNETOGASDYNAMIC EXPONENTIAL SHOCK WAVE IN A PERFECT GAS WITH VARYING DENSITY, HEAT CONDUCTION, AND RADIATION HEAT FLUX [J] . R. Bajargaan, A. Patel, M. Singh Инженерно-физический журнал . 2021,第1期

机译：相似性解决方案在具有不同密度，导热和辐射热通量的完美气体中磁力动态指数冲击波后面的流动的相似解
2. Similarity solutions using Lie group theoretic method for cylindrical shock wave in self-gravitating perfect gas with axial magnetic field: isothermal flow [J] . Nath G., Singh Sumeeta European Physical Journal Plus . 2020,第3期

机译：使用轴向磁场自我引物完美气体圆柱形冲击波的相似解法方法：等温流动
3. Similarity solutions for unsteady flow behind an exponential shock in a self-gravitating non-ideal gas with azimuthal magnetic field [J] . Nath G., Pathak R. P., Dutta Mrityunjoy Acta astronautica . 2018,第JANa期

机译：自力非理想气体在方位磁场下在指数冲击后的非定常流动的相似解
4. An r-adaptive, high-order discontinuous Galerkin method for flows with attached shocks [C] . Matthew J. Zahr, Per-Olof Persson AIAA SciTech forum and exposition . 2020

机译：具有附加冲击的流的r自适应高阶不连续Galerkin方法
5. Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows. [D] . Perepelitsa, Mikhail. 2004

机译：对于可压缩流体流的Navier-Stokes方程，具有大量不连续初始数据的解决方案的全球存在。
6. Upon the Similarity and Dissimilarity of the behaviour of Cardiac and Skeletal Muscle when brought into relation with Solutions containing Sodium Calcium and Potassium Salts [O] . Sydney Ringer, Dudley W. Buxton 1887

机译：与包含钠钙和钾盐的溶液相关时心脏和骨骼肌行为的相似性和相异性
7. A numerical solution of transonic flow using discontinuous shock relation. [O] . Masayoshi NAKAMURA 1988

机译：不连续冲击关系跨跨越慢速流动的数值解。
8. Discontinuous Magnetofluidynamic Flows. Nonliniquid Simulation,Formation of Shocks. [R] . geffen, nima 1971

机译：不连续的磁流体动力学流动。非流体模拟，冲击的形成。

Discontinuous Magnetofluidynamic Flows: Similarity Solutions and Shock Relations

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