点击选择搜索分类
首页 - 城乡建设、市政工程、环境工程- 正文
☆☆☆☆☆
||
[美] 斯科姆(Schmid,P.J.) 著
出版社: 世界图书出版公司 ISBN:9787510070242 版次:1 商品编码:11457450 包装:平装 丛书名: 经典数学丛书 开本:24开 出版时间:2014-03-01 用纸:胶版纸 页数:556 正文语种:英文
Ⅰ Temporal Stability of Parallel Shear Flows2 Linear Inviscid Analysis2.1 Inviscid Linear Stability Equations2.2 Modal Solutions2.2.1 General Results2.2.2 Dispersive Effects and Wave Packets2.3 Initial Value Problem2.3.1 The Inviscid Initial Value Problem2.3.2 Laplace Transform Solution2.3.3 Solutions to the Normal Vorticity Equation2.3.4 Example: Couette Flow2.3.5 Localized Disturbances3 Eigensolutions to the Viscous Problem3.1 Viscous Linear Stability Equations3.1.1 The Velocity-Vorticity Formulation3.1.2 The Orr-Sommerfeld and Squire Equations3.1.3 Squire's Transformation and Squire's Theorem3.1.4 Vector Modes3.1.5 Pipe Flow3.2 Spectra and Eigenfunctions3.2.1 Discrete Spectrum3.2.2 Neutral Curves3.2.3 Continuous Spectrum3.2.4 Asymptotic Results3.3 Further Results on Spectra and Eigenfunctions3.3.1 Adjoint Problem and Bi-Orthogonality Condition3.3.2 Sensitivity of Eigenvalues3.3.3 Pseudo-Eigenvalues3.3.4 Bounds on Eigenvalues3.3.5 Dispersive Effects and Wave Packets4 The Viscous Initial Value Problem4.1 The Viscous Initial Value Problem4.1.1 Motivation4.1.2 Derivation of the Disturbance Equations4.1.3 Disturbance Measure4.2 The Forced Squire Equation and Transient Growth4.2.1 Eigenfunction Expansion4.2.2 Blasius Boundary Layer Flow4.3 The Complete Solution to the Initial Value Problem4.3.1 Continuous Formulation4.3.2 Discrete Formulation4.4 Optimal Growth4.4.1 The Matrix Exponential4.4.2 Maximum Amplification4.4.3 Optimal Disturbances4.4.4 Reynolds Number Dependence of Optimal Growth4.5 Optimal Response and Optimal Growth Rate4.5.1 The Forced Problem and the Resolvent4.5.2 Maximum Growth Rate4.5.3 Response to Stochastic Excitation4.6 Estimates of Growth4.6.1 Bounds on Matrix Exponential……Ⅱ Stability of Complex Flows and TransitionⅢ Appendix
剪切流中的稳定性和转捩 电子书 下载 mobi epub pdf txt
剪切流中的稳定性和转捩-so88
剪切流中的稳定性和转捩 pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 斯科姆(Schmid,P.J.) 著
出版社: 世界图书出版公司 ISBN:9787510070242 版次:1 商品编码:11457450 包装:平装 丛书名: 经典数学丛书 开本:24开 出版时间:2014-03-01 用纸:胶版纸 页数:556 正文语种:英文
内容简介
回顾了过去10年在壁湍流和自由剪切流转捩问题的数值研究中取得的重要进展,介绍了数值方法和模式研究方面的进展,以及由此带来的关于转捩理论认识上的进展。对于壁面流动,文中主要介绍了渐进稳定流动中"跨越(bypass)转捩"研究中的各种观点。本文也简要介绍了对感受性和转捩控制方面的研究。内页插图
目录
1 Introduction and General Results1.1 Introduction1.2 Nonlinear Disturbance Equations1.3 Definition of Stability and Critical Reynolds Numbers1.3.1 Definition of Stability1.3.2 Critical Reynolds Numbers1.3.3 Spatial Evolution of Disturbances1.4 The Reynolds-Orr Equation1.4.1 Derivation of the Reynolds-Orr Equation1.4.2 The Need for Linear Growth MechanismsⅠ Temporal Stability of Parallel Shear Flows2 Linear Inviscid Analysis2.1 Inviscid Linear Stability Equations2.2 Modal Solutions2.2.1 General Results2.2.2 Dispersive Effects and Wave Packets2.3 Initial Value Problem2.3.1 The Inviscid Initial Value Problem2.3.2 Laplace Transform Solution2.3.3 Solutions to the Normal Vorticity Equation2.3.4 Example: Couette Flow2.3.5 Localized Disturbances3 Eigensolutions to the Viscous Problem3.1 Viscous Linear Stability Equations3.1.1 The Velocity-Vorticity Formulation3.1.2 The Orr-Sommerfeld and Squire Equations3.1.3 Squire's Transformation and Squire's Theorem3.1.4 Vector Modes3.1.5 Pipe Flow3.2 Spectra and Eigenfunctions3.2.1 Discrete Spectrum3.2.2 Neutral Curves3.2.3 Continuous Spectrum3.2.4 Asymptotic Results3.3 Further Results on Spectra and Eigenfunctions3.3.1 Adjoint Problem and Bi-Orthogonality Condition3.3.2 Sensitivity of Eigenvalues3.3.3 Pseudo-Eigenvalues3.3.4 Bounds on Eigenvalues3.3.5 Dispersive Effects and Wave Packets4 The Viscous Initial Value Problem4.1 The Viscous Initial Value Problem4.1.1 Motivation4.1.2 Derivation of the Disturbance Equations4.1.3 Disturbance Measure4.2 The Forced Squire Equation and Transient Growth4.2.1 Eigenfunction Expansion4.2.2 Blasius Boundary Layer Flow4.3 The Complete Solution to the Initial Value Problem4.3.1 Continuous Formulation4.3.2 Discrete Formulation4.4 Optimal Growth4.4.1 The Matrix Exponential4.4.2 Maximum Amplification4.4.3 Optimal Disturbances4.4.4 Reynolds Number Dependence of Optimal Growth4.5 Optimal Response and Optimal Growth Rate4.5.1 The Forced Problem and the Resolvent4.5.2 Maximum Growth Rate4.5.3 Response to Stochastic Excitation4.6 Estimates of Growth4.6.1 Bounds on Matrix Exponential……Ⅱ Stability of Complex Flows and TransitionⅢ Appendix
精彩书摘
1.1 Introduction Hydrodynamic stability theory is concerned with the response of a laminarflow to a disturbance of small or moderate amplitude. If the flow returns toits original laminar state one defines the flow as stable, whereas if the dis-turbance grows and causes the laminar flow to change into a different state,one defines the flow as unstable. Instabilities often result in turbulent fluidmotion, but they may also take the flow into a different laminar, usuallymore complicated state. Stability theory deals with the mathematical anal-ysis of the evolution of disturbances superposed on a laminar base flow. Inmany cases one assumes the disturbances to be small so that further sim-plifications can be justified. In particular, a linear equation governing theevolution of disturbances is desirable. As the disturbance velocities growabove a few percent of the base flow, nonlinear effects become importantand the linear equations no longer accurately predict the disturbance evo-lution. Although the linear equations have a limited region of validity theyare important in detecting physical growth mechanisms and identifyingdominant disturbance types. In this section we will derive the nonlinear equations governing the de-velopment of a disturbance on a laminar base flow, define various types ofstability, and discuss some general concepts and results. ……前言/序言
剪切流中的稳定性和转捩 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 一步学科学:植物惊奇 9787542757807
- 区域2018新版 附加题数学六年级下人教版 小学6年级下册数学
- 正版新书--全民阅读-世界未解之谜(精装) 出版社:中国华侨出版社 中国华侨出版社
- 新版人教版初中体育与健康七八九全一册全套3本课本教材教科书人民教育出版社义务教育教科书八年级全一册体
- 认名车-童眼看天下-畅销升级版
- 英文原版Do You See a Mouse?汪培珽书单一阶段 名家绘本启蒙
- 生态文明新论/生态文明决策者X读丛书 卢风
- Mia and the Too Big Tutu 米娅和她的大舞蹈裙 [4-8岁]
- 科普美学 汤寿根
- 侣行1+2上下 共3册 中国心格调 爱到,行到极端 张昕宇旅游随笔行游天下一对中国情侣的中
- 神秘的大脑:每天30秒探索令人兴奋的50个神经科学理念 科普读物 书籍
- 阳燧宝珠 赵镇琬 新世界出版社
- 正版 科技未来
- Music Theory in Practice, Grade 3
- 超霸舰艇-兵器帝国大揭秘-儿童视觉大系