53:081
Computers in Civil Engineering
Final
Problem
1
For fluid flow
in pipes, friction is described by a dimensionless number, Fanning friction
factor f. The Fanning friction factor is dependent on a
number of parameters related to the size of the pipe and the fluid, which can
all be represented by another dimensionless quantity, the Reynolds number Re. A formula that predicts f given Re is the von
Karman equation,
Typical values
for the Reynolds number for turbulent flow are 10000 to 500000, and for the
Fanning friction factor are 0.001 to 0.01.
(a)
Plot f as a function of
Re
for Re
from 10000 to 500000;
(b)
Assume you only know f for two values
of Re=100000
and Re=300000. Estimate the value of f for Re=200000. Provide the true relative error (in %) of
your estimate. Provide a graphical
illustration of your estimation approach on the same plot that you developed in
(a) above.
What
to submit:
(All
in one folder called Final)
1.
Source code (called ‘final.m’) and other codes as appropriate;
2.
Plot (in ‘final.jpg’);
3.
Other results in a text file (‘final.txt’).
How
to submit:
Send to ‘cee081_final’
grade –d cee081_final Final