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Numerical study of porous channel flow in a rotating system by a homotopy method

โœ Scribed by Layne T. Watson

Book ID
103916553
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
499 KB
Volume
7
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

Problems in lubrication, transpiration cooling, dialysis, gaseous diffusion processes, subterranean rivers fed by porous bedrock, and flow under the polar icecap are examples of porous channel flow in a rotating system. Using similarity equations the Navier-Stokes equations reduce to a 10th order two-point boundary value problem. For certain parameter ranges this problem is very difficult and is not amenable to simple shooting techniques or classical locally convergent iterative methods. A recently developed globally convergent homotopy algorithm is applied to the boundary value problem, and numerical results are reported for a wide range of parameter values.

๐Ÿ“œ SIMILAR VOLUMES

Numerical solution of the three-dimensio
Numerical solution of the three-dimensional fluid flow in a rotating heterogeneous porous channel
โœ Mark A. Havstad; Peter Vadasz ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 628 KB

A numerical solution to the problem of the three-dimensional fluid flow in a long rotating heterogeneous porous channel is presented. A co-ordinate transformation technique is employed to obtain accurate solutions over a wide range of porous media Ekman number values and consequent boundary layer th