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2. A pipeline at an oil refinery is carrying oil to a large storage tank. The pi

ID: 2998220 • Letter: 2

Question

2. A pipeline at an oil refinery is carrying oil to a large storage tank. The pipe has a 20 inch internal diameter. The oil is flowing at 5 ft/s and its density is 57 lb/ft^3 . What is the mass flow rate of oil in SI units? What is the mass and volume of oil, in SI units, that flows in a 24 hour period? The flow rate of oil is given by: M = pvA, where: M = mass flow rate of oil (kg/s) p = liquid density (kg/m^3) v = flow speed (m/s) A = cross-sectional area of pipe (m^2) [Answers: 282 kg/s, 24362580 kg, 26688 m^3/

Explanation / Answer

MATLAB program;

clc;
close all;
clear all;

% Taking all values in SI units
%57 (pound / (ft^3)) = 913.052412 kg / (m^3)
% 5 ft/s = 1.524 m/s
% 20 in = 0.508 m

p = 913.052412;
v = 1.524;
d = 0.508;
A = (pi/4)*d^2;

mass_flowrate = p*v*A;

% calculating mass of oil flown in 24 hr
Massflown_in24hrs = mass_flowrate*86400; % 24 hrs = 86400 sec

% calculating Voume of oil flown in 24 hr
Volume_flownin24hr = v*A*86400;

fprintf('mass_flowrate = %6.2f kg/s ' ,mass_flowrate);
fprintf('Massflown_in24hrs = %6.2f kg ',Massflown_in24hrs);
fprintf('Volume_flownin24hr = %6.2f m^3 ',Volume_flownin24hr);

Output:

mass_flowrate = 282.03 kg/s
Massflown_in24hrs = 24367542.01 kg
Volume_flownin24hr = 26688.00 m^3
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