Techniques for Solving the Boundary-Layer Equations

Analytical and numerical approaches
  • S. D. Harris
  • D. B. Ingham
Conference paper
Part of the NATO Science Series book series (NAII, volume 134)

Abstract

Exact solutions of the Navier-Stokes equations
$$ (q \cdot \nabla )q = - \frac{1} {\rho }\nabla p + \nu \nabla ^2 q, $$
where q = (u,v,w) is the fluid velocity, p is the pressure, v is the kinematic viscosity and ρ is the density, can only be found for bodies with very simple geometries. It is also possible to find solutions when the Reynolds number is very small (Stokes flow), but the flow of an almost inviscid fluid, e.g. air, past a body requires us to develop the theory of boundary layers. These flows are of great practical interest, e.g. in aerodynamical flows, and in these flows, in general, we have the Reynolds number, Re » 1.

Keywords

Porous Medium Heat Mass Transfer Free Convection Quadrature Formula Skin Friction Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • S. D. Harris
    • 1
  • D. B. Ingham
    • 2
  1. 1.Rock Deformation ResearchSchool of Earth Sciences University of LeedsLeedsUK
  2. 2.Department of Applied MathematicsUniversity of LeedsLeedsUK

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