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Rate of growth of a laminar boundary layer on a flat plate
The rate of increase of the boundary-layer thickness 6 may be found by integrating Eqn (7.67), after setting Л = 0 in Eqns (7.64b and c) and substituting for / and Q. Thus Eqn (7.67) becomes
d<5 Cf 140 /і dx~21~ 13 pU^d
 |
Therefore
whence
<52 _ 140 px
T = Upt^
The integration constant is zero if x is measured from the fore stagnation point where (5 = 0, i. e.
6 = 4.64jc/{Rex)in
The other thickness quantities may now be evaluated using Eqns (7.64a, b) with Л = 0. Thus
6* = 0.375(5 = 1.74л /{Rex)l/1 6 = 0.139(5 = QM6x/{Rex)1/2
