Page 240 - Computational Fluid Dynamics for Engineers

7.5 Applications of BLP 229

7.4.7 Subroutine O U T P U T

This subroutine prints out the desired profiles such as fj, Uj, Vj, and bj as
functions of rjj. It also computes the boundary-layer parameters, cy, <$*, 9 and
defined by
R x

- f 2Tw 2 V VR^ (7.4.18a)
™
QU e
x6\
Jo V u eJ yRx (7.4.18b)
x6i
Jo u e \ u eJ yRx (7.4.18c)
u ex
D
ttx — (7.4.18d)
V
where
$1 = / ^ ( l - f')dv = Ve + f(x, Ve) (7.4.19a)
Jo
0i= r f\l-f)dr, (7.4.19b)
Jo
7.4.8 Subroutine E D D Y

For simplicity we use the eddy-viscosity formulation of Cebeci and Smith de-
scribed in subsection 3.2.1 without the strong pressure gradient effect, that is,
a = 0.0168 and mass transfer effect. These capabilities, if desired, can easily
be incorporated into the formulas defined in the subroutine. In terms of trans-
formed variables defined by Eqs. (7.3.4) and (7.3.5). Eqs. (3.2.1) and (3.2.2) are
written as
(
4 = ^ = 0.16i# 2 [l - exp - 1 ) ] V ^ (7.4.20)
l
\ - l / J " ^ \ P+ = mR J\v^\ N = (1-11 V ) 1 / 2 , R x = U -f
(7.4.21)
Similarly Eq. (3.2.3), with a taken as constant (= 0.0168), is written as

2
£+ = 0.0168i?y (7? e - / c ) 7 t r 7 (7.4.22)

7.5 Applications of BLP

In this section we discuss the applications of the computer program (BLP) of the
previous section to a sample of laminar and turbulent flows without separation.
These flows deal with momentum transfer in external flows.