On Similarity Solutions for Three Dimensional Flow of Second Order Fluids

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Abstract

The existence of similarity solutions for the steady three-dimensional boundary layer flow of a viscoelastic fluid has been investigated. It has been shown that similarity solutions exist for two mainstream flow patterns which correspond to the flow near a stagnation point. The non-linear boundary value problem governing one of these stagnation point flows has been solved numerically combined with a perturbation approach. It is found that the effects of non-Newtonian parameters are to increase the velocity in the boundary layer. Some relevant particular cases have also been discussed.

Original languageEnglish
Pages (from-to)618-622
Number of pages5
JournalJournal of the Physical Society of Japan
Volume66
Issue number3
Publication statusPublished - Mar 1997

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three dimensional flow
stagnation point
three dimensional boundary layer
boundary layer flow
fluids
boundary value problems
boundary layers
flow distribution
perturbation

Keywords

  • Boundary layer
  • Non-Newtonian effects
  • Perturbation
  • Similarity solution
  • Stagnation point

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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abstract = "The existence of similarity solutions for the steady three-dimensional boundary layer flow of a viscoelastic fluid has been investigated. It has been shown that similarity solutions exist for two mainstream flow patterns which correspond to the flow near a stagnation point. The non-linear boundary value problem governing one of these stagnation point flows has been solved numerically combined with a perturbation approach. It is found that the effects of non-Newtonian parameters are to increase the velocity in the boundary layer. Some relevant particular cases have also been discussed.",
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AU - Sacheti, Nirmal C.

AU - Chandran, Pallath

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N2 - The existence of similarity solutions for the steady three-dimensional boundary layer flow of a viscoelastic fluid has been investigated. It has been shown that similarity solutions exist for two mainstream flow patterns which correspond to the flow near a stagnation point. The non-linear boundary value problem governing one of these stagnation point flows has been solved numerically combined with a perturbation approach. It is found that the effects of non-Newtonian parameters are to increase the velocity in the boundary layer. Some relevant particular cases have also been discussed.

AB - The existence of similarity solutions for the steady three-dimensional boundary layer flow of a viscoelastic fluid has been investigated. It has been shown that similarity solutions exist for two mainstream flow patterns which correspond to the flow near a stagnation point. The non-linear boundary value problem governing one of these stagnation point flows has been solved numerically combined with a perturbation approach. It is found that the effects of non-Newtonian parameters are to increase the velocity in the boundary layer. Some relevant particular cases have also been discussed.

KW - Boundary layer

KW - Non-Newtonian effects

KW - Perturbation

KW - Similarity solution

KW - Stagnation point

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ER -