The Magneto-Hydrodynamic Boundary Layer in the Two-Dimensional Steady Flow Past a Semi-Infinite Flat Plate. II. The Falkner-Skan Problem

Journal Article · Tue Jun 11 04:00:00 EDT 1963 · Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences

DOI:https://doi.org/10.1098/rspa.1963.0106· OSTI ID:4687878

James, E. M.

The flow of a viscous liquid past a semi-infinite flat plate against an adverse pressure gradient is investigated. The method used is an iterative method suggested in a paper by Weyl. To start the iterative procedure a function is chosen that satisfies some of the boundary conditions and by using this function the first iterative solution was obtained analytically in terms of confluent hypergeometric functions. Two different starting functions were considered. In the first case it was found possible to compare the results obtained with the well-known Hartree numerical solution and even at the first iteration close agreement is achieved. In the second case, the first iterative solution behaves correctly at infinity but the agreement with Hartree's solution is not as good as it is in the first case.

• Research Organization: University Coll. of Wales, Aberystwyth
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-027555
• OSTI ID: 4687878
• Journal Information: Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences, Journal Name: Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences Journal Issue: 1355 Vol. 273; ISSN 1364-5021
• Publisher: The Royal Society Publishing
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ENGINEERING AND EQUIPMENT
LAYERS
LIQUID FLOW
MAGNETOHYDRODYNAMICS
MATHEMATICS
NUMERICALS
PLATES
SURFACES
VISCOSITY