Question: A Blasius Exact Solution Equation For A Laminar Flat-Plate Boundary Layer Problem Which... A Blasius exact solution equation for a laminar flat-plate boundary layer problem which derived from Navier-Stoke equations, could be written as, ff"-2f"'=0 where f = f(n), -d"fM), fm". d'fM, ànd f'-df (71) _ dn' dn' dn U is mainstream fluid velocity and u is fluid velocity in boundary layer. With suitable boundary conditions, the above equation had been solved by 4th-order Runge-Kutta numerical integration and the result is tabulated in Table Qla. TABLE Qla f f'=w/U f" 7 = y, Vx 0.332 0.323 0.000 0.000 1 0.166 0.330 0.267 0.161 0.064 0.016 0.630 0.650 1.397 2 0.846 0.956 0.992 0.998 0.999 1.000 2.310 3.283 4.280 0.002 0.001 5.279 6.280 0.000 Show that: COVRE , =1.27 %3D
Question: A Blasius Exact Solution Equation For A Laminar Flat-Plate Boundary Layer Problem Which... A Blasius exact solution equation for a laminar flat-plate boundary layer problem which derived from Navier-Stoke equations, could be written as, ff"-2f"'=0 where f = f(n), -d"fM), fm". d'fM, ànd f'-df (71) _ dn' dn' dn U is mainstream fluid velocity and u is fluid velocity in boundary layer. With suitable boundary conditions, the above equation had been solved by 4th-order Runge-Kutta numerical integration and the result is tabulated in Table Qla. TABLE Qla f f'=w/U f" 7 = y, Vx 0.332 0.323 0.000 0.000 1 0.166 0.330 0.267 0.161 0.064 0.016 0.630 0.650 1.397 2 0.846 0.956 0.992 0.998 0.999 1.000 2.310 3.283 4.280 0.002 0.001 5.279 6.280 0.000 Show that: COVRE , =1.27 %3D
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Question: A Blasius Exact Solution
Equation For A Laminar Flat-Plate
Boundary Layer Problem Which...
A Blasius exact solution equation for a laminar flat-plate boundary layer problem
which derived from Navier-Stoke equations, could be written as,
ff"-2f"'=0
where f = f(n), =d'fm),
dn?
d'f(n).
df (N) =-
,and f'=-
dn'
dn
U is mainstream fluid velocity and u is fluid velocity in boundary layer.
With suitable boundary conditions, the above equation had been solved by 4th-order
Runge-Kutta numerical integration and the result is tabulated in Table Qla.
TABLE Qla
f'=w/U
f"
7 = y,
VX
0.000
0.000
0.332
0.323
0.267
1
0.166
0.330
0.630
0.846
0.956
0.992
0.998
0.650
1.397
2.310
3.283
0.161
0.064
3
4
0.016
0.002
6
7
4.280
0.001
5.279
6.280
0.999
1.000
0.000
Show that :
CoRe , = 1.27
%3D
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