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PE 1305 Quiz #1
Prob. 1) Why is it important for an engineer to check his mathematical results by
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Prob.2) What two rules form the basis of dimensional lysis? What do they mean?
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Prob. 3) In terms of the dimensional sym! L,M,t,T,Q) what are the dimensions of:
a) [area] =
b) [volume] =
c) [velocity] =~ +
d) [acceleration] = i
e) [force (F=ma)] = (© ee
h [pressure (P=F/A)] = ™ mut = Tol ae
a
a
Prob. 4) A liquid is flowing through a section of pipe with a constant velocity v. The
pipe section has a cross sectional area A and a length X. It is important to know Q, the
volume of liquid passing through the section per unit time (Q = volume/time)
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Engineer A says that Q is given by: O=ux Le ewe Lele
Engineer B says that the pressure is given by : Q=vA et ste au eo ue ae \
Which one is surely wrong? Why?
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ay ATOPY 5
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Prob. 5) The porosity © of a rock is defined as the rati
volume. What is the dimension of ®?
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of the pore volume to the total
Prob. 6) The decline in production of certain wells can be described by:
p(t) = p(O)e*
Where p(2) is the production rate at time t and (0) is the production rate at time t=0..
Both these rates are measured in barrels (or gallons) per day. What is the dimension of
b?
Prob. 7) What is the dimension of PV in the ideal gas law (PY=nRT) ?
Remember P is pressure and V is volume.
Prob. 8) In order to correct for the failures of the ideal gas law (PV=nRT ) scientists
multiply the right hand side of the equation by a tabulated correction factor Z(P,T) :
cr - >
PV = ZnRT Le ey ye - —— 2 WE
What is the dimension of Z? a ia
Me ZytT
