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Existence and estimate of positive solutions to a nonlinear singular boundary value problem in the theory of dilatant non-Newtonian fluids

✍ Scribed by Liancun Zheng; Xinxin Zhang; Jicheng He

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
202 KB
Volume
45
Category
Article
ISSN
0895-7177

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✦ Synopsis

This paper presents a rigorous proof of existence and uniqueness of solutions to laminar boundary layer flow in power law non-Newtonian fluid. A theoretical estimate for skin friction coefficient is given, which is characterized by a power law exponent. The reliability and efficiency of the proposed estimate formula are verified by numerical results with a good agreement. The estimate formula can be successfully applied to give the value of the skin friction coefficient.

πŸ“œ SIMILAR VOLUMES

The existence of positive solutions to a
The existence of positive solutions to a non-local singular boundary value problem
✍ Donal O'Regan; Svatoslav StanΔ›k πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 125 KB πŸ‘ 1 views

## Abstract We consider the non‐local singular boundary value problem where __q__ ∈ __C__^0^([0,1]) and __f__, __h__ ∈ __C__^0^((0,∞)), lim__f__(__x__)=βˆ’βˆž, lim__h__(__x__)=∞. We present conditions guaranteeing the existence of a solution __x__ ∈ __C__^1^([0,1]) ∩ __C__^2^((0,1]) which is positive