I think that I got your answer. It appears to part of the Bernouilli's energy equation $DP+$VDV+$DZ=0 (WHERE $ IS AN INTEGRAL SIGN) applied in fluid dynamics.
The unit that you showed is derived as follows:
I think that the units you are questioning deal w/Bernouilli's equation $dp+$vdv+$dz where $ is an integral.
The unit is derived from the following:
Pressure(lbf/in2)/(DENSITY(lbm/in2)/Gc(386.4 lbm-in2/lbf-sec2)).
Be carefull to know the differences between lb,lbf,lbm.
When I graduated in 1971 units were primarily expressed in the English system this is why you may not have been familiar with this form if you graduated later on using the metric units.
Just to let you know about the relationship between lb,lbf & lbm remember Newton law F=ma
F(lb)= m(slugs)*a(ft/sec2 or in/sec2)
m(lbm)*a(ft/sec2 or in/sec2)
F(lbf)= ---------------------------
Gc(=32.2lbm-ft/lbf-sec2
or 386lbm-in/lbf-sec2)