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Methods for solving the boundary layer equations for moving continuous flat surfaces with suction and injection
Author(s) -
Fox V. G.,
Erickson L. E.,
Fan L. T.
Publication year - 1968
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690140510
Subject(s) - prandtl number , suction , boundary layer , laminar flow , momentum (technical analysis) , schmidt number , boundary layer thickness , mechanics , mathematics , differential equation , range (aeronautics) , blasius boundary layer , heat transfer , physics , mathematical analysis , classical mechanics , thermodynamics , materials science , finance , economics , composite material
Several methods that can be used to obtain solutions to the laminar boundary layer momentum, energy, and diffusion differential equations for moving continuous flat surfaces with suction and injection are presented. Results are obtained for a wide range of the injection parameter, f (0), at Prandtl and Schmidt numbers of 1, 10, and 100. Those methods which permit hand calculation of the properties of interest are compared using the numerical solutions of the boundary layer differential equations as the exact solutions. The new integral method of Hanson and Richardson which gives results for the momentum thickness that deviate less than 2.2% from the exact values is recommended for predicting values of the momentum boundary layer parameters. The Von Karman‐Pohlhausen method, which was modified to account for suction and injection, is most generally valid. This method gives acceptable values of the transfer coefficients for heat, mass and momentum transfer for most of the values considered.