Where: Re Reynolds number; Re = 5150 V D V flow velocity D pipe diameter Write a

Question

Where:

Re           Reynolds number; Re = 5150 V D

V             flow velocity

D             pipe diameter

Write a MATLAB program that calculates the friction factor for the following conditions:

        Velocity (ft/sec):          1.6          2.0          7.5          5.4          8.5          10.0      20.0

        Pipe diameter (ft):       0.1          0.2          0.5          0.8          1.0          4.0          5.0

Store the data in a text file

The friction factor f is a parameter used to study fluid flow in pipes. It is given by: Where: Re Reynolds number; Re = 5150 V D V flow velocity D pipe diameter Write a MATLAB program that calculates the friction factor for the following conditions: Velocity (ft/sec): 1.6 2.0 7.5 5.4 8.5 10.0 20.0 Pipe diameter (ft): 0.1 0.2 0.5 0.8 1.0 4.0 5.0 Store the data in a text file ?pipe.txt?. (Only values are stored in the file). The program does the following: Reads the data from the file and store them in two arrays. Calculates the Reynolds number. Calculates the friction factor f . Prints an output in tabular form; sample output with fictitious values is shown. Your name Problem 2 Diameter Velocity Reynlods no Friction F 0.10 1.6 8.2400e+02 0.0777 x.xx x.x x.xxxxe+xx x.xxxx

Explanation / Answer

Code:

fif = fopen('pipe.txt');
V = fscanf(fif,'%g',7);
Dia = fscanf(fif,'%g');
fclose(fif);
Re = 5150*V.*Dia;
disp('Diameter    Velocity    Reynolds Number    friction factor');
for i=1:7
if Re(i)<2300
    f(i) = 64/Re(i);
elseif Re(i)>2300&&Re(i)<10000
    f(i) = 0.316/(Re(i)^0.25);
else
    f(i) = 0.25*[log10(5.74/Re(i)^0.9)]^-2;
end
fprintf('%f     %f      %f      %f ',Dia(i),V(i),Re(i),f(i));
end

Output:

Diameter    Velocity    Reynolds Number    friction factor
0.100000     1.600000      824.000000      0.077670
0.200000     2.000000      2060.000000      0.031068
0.500000     7.500000      19312.500000      0.026042
0.800000     5.400000      22248.000000      0.025137
1.000000     8.500000      43775.000000      0.021397
4.000000     10.000000      206000.000000      0.015442
5.000000     20.000000      515000.000000      0.013021

Create a text file pipe.txt and store 1.6    2.0   7.5   5.4   8.5 10.0 20.0 0.1   0.2    0.5   0.8 1.0   4.0   5.0

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