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Group theoretical analysis and similarity solutions for stress boundary layers in viscoelastic flows

✍ Scribed by Kunt Atalık

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
473 KB
Volume
153
Category
Article
ISSN
0377-0257

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✦ Synopsis

Lie group theory is used to obtain point symmetries of the boundary layer equations derived in the literature for the high Weissenberg number flow of upper convected Maxwell (UCM) and Phan-Tien-Tanner (PTT) type of viscoelastic fluids. The equations are reduced to ordinary differential equation systems with the use of scaling and spiral transformation groups. Similarity solutions are obtained and discussed for different cases such as flow around corners, flow over moving and stretching walls, and exponential shear flows.

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Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and suction/blowing: A Lie group analysis
✍ M.A.A. Hamad; M. Ferdows 📂 Article 📅 2012 🏛 Elsevier Science 🌐 English ⚖ 666 KB

In this paper, heat and mass transfer analysis for boundary layer stagnation-point flow over a stretching sheet in a porous medium saturated by a nanofluid with internal heat generation/absorption and suction/blowing is investigated. The governing partial differential equation and auxiliary conditio