| 查看: 438 | 回复: 0 | |||
[交流]
正交非线性渗流定理
|
|
Theorem of Orthogonal Non-Linear Flow in Porous Media By QI Chengwei ABSTRACT: Substituting the Orthogonal Power- Quotient Equation into the continuity equation of incompressible fluid steadily flowing in porous media, to achieve the governing equation of orthogonal non- linear flow in porous media at low velocities. This governing equation is a second order non-linear partial differential equation, thus except straight streamline fields, it’s extremely hard to be solved symbolically. Coordinating field theory with differential geometry, to qualitatively analyze geometric characteristics of the flow fields, and gain the‘theorem of orthogonal non-linear flow in porous media: Supposing that iso-intensity surfaces of pressure and streamlines of non- linear flow in porous media are orthogonal to each other, if the flow fields are curved streamline fields, then the streamlines of compressible or incompressible single- phase fluid non-linearly flowing in porous media and the streamlines of incompressible single-phase fluid linearly flowing in porous media are in different shapes under the same condition. Under the orthogonality hypothesis, the shapes of iso-intensity surfaces of pressure are also different.’Drawing an analogy with Stokes flow, to point out the possibility of non- orthogonality between iso- intensity surfaces of pressure and streamlines of the fluid non-linearly flowing in porous media. Key words: mechanics of fluids in porous media, geometric characteristics of flow fields, Orthogonal Power- Quotient Continuity Equation, curved streamline field, lemma, Streamline Curvature Vector Formula, Complex Curvature Formula, Shattering Fracturing |
回复此楼» 本帖附件资源列表
-
欢迎监督和反馈：小木虫仅提供交流平台，不对该内容负责。
本内容由用户自主发布，如果其内容涉及到知识产权问题，其责任在于用户本人，如对版权有异议，请联系邮箱：xiaomuchong@tal.com - 附件 1 : Theorem_of_Orthogonal_Non-Linear_Flow_in_Porous_Media_.pdf
2017-03-28 23:25:05, 26.7 M
» 猜你喜欢
【博士招生】太原理工大学2026化工博士
已经有5人回复
-
什么是人一生最重要的？
已经有5人回复
-
280求调剂
已经有3人回复
-
网上报道青年教师午睡中猝死、熬夜猝死的越来越多，主要哪些原因引起的？
已经有8人回复
-
面上可以超过30页吧？
已经有11人回复
-
版面费该交吗
已经有15人回复
-
体制内长辈说体制内绝大部分一辈子在底层，如同你们一样大部分普通教师忙且收入低
已经有18人回复
-
为什么中国大学工科教授们水了那么多所谓的顶会顶刊，但还是做不出宇树机器人？
已经有10人回复