Asymptotic Matching for Fluid Mechanics: Arildno Refs

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Discussion Overview

The discussion centers around finding references for asymptotic matching in fluid mechanics, particularly in relation to boundary layer theory. Participants are seeking books or articles that provide comprehensive coverage of the topic, including examples and applications.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests references specifically for asymptotic matching in fluid mechanics equations.
  • Another participant recommends the book "Advanced Mathematical Methods for Scientists and Engineers" by Bender & Orszag, providing a link to purchase it.
  • A subsequent post reiterates the recommendation of the same book, indicating that the requester has already acquired it.
  • Another participant suggests looking into articles about multiple boundary layer theory, mentioning the development of a tripartite boundary layer characterized by different powers of the Reynolds number.
  • This participant notes that asymptotic matching is necessary to connect local solutions in the context of boundary layers.
  • The original requester expresses a preference for textbooks with examples rather than articles, indicating a desire for more structured learning materials.

Areas of Agreement / Disagreement

Participants have differing preferences regarding the type of resources sought, with some favoring books while others suggest articles. There is no consensus on a specific resource that meets all needs expressed in the discussion.

Contextual Notes

The discussion highlights a potential limitation in the availability of comprehensive textbooks on the subject, as participants express difficulty in finding suitable references. The focus on boundary layer theory and asymptotic matching suggests a specialized area within fluid mechanics that may not be extensively covered in general texts.

Who May Find This Useful

Readers interested in fluid mechanics, particularly those looking for resources on asymptotic matching and boundary layer theory, may find this discussion relevant.

Clausius2
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Does somebody (i.e. Arildno) know some reference on Asymptotic Matching for Fluid Mechanics equations?

I am looking for a good book, but I didn't find nothing in Amazon nor Dover.
 
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Last edited by a moderator:
Well, have you looked after articles about multiple boundary layer theory?

From what I know, it has become rather common to develop a tripartite boundary layer with various powers of the Reynolds number as the distinguishing marks between the layers.

Evidently, asymptotic matching will be needed to weld together the local solutions.
 
arildno said:
Well, have you looked after articles about multiple boundary layer theory?
From what I know, it has become rather common to develop a tripartite boundary layer with various powers of the Reynolds number as the distinguishing marks between the layers.
Evidently, asymptotic matching will be needed to weld together the local solutions.

I am looking for a textbook with examples and so on rather than a set of articles. Thank you, arildno and happy new year!.
 

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