Bulk modulus and compressibility##fluid mechanics##episode-8##theory>numerical>video
Fluid property
* Bulk modulus and compressibility
My book:-https://imojo.in/unitech108
compressibility coefficient=1/k
√bulk modulus in fluid system is define as the k=dp/-(volumetric strain)
volumetric strain = dv/v
√ unit of bulk modulus similar as pressure
√sign of volumetric strain
◆compress= -ve
◆expand= +ve
◆no change volume= 0
Q[IES 2006]. If the pressure applied on the cylindrical vessel 0.8 MN/m3 due to this pressure volumetric strain develop 6% reducing in nature then determine the bulk modulus of the liquid.
ANS=Bulk modulus(K)=1.33×107 N/m3
●1atm=101325N/m3
●1bar=105 N/m3
Q.If the bulk modulus of the liquid(K)=230×104 KN/m3 then determine pressure applied in atm when volumetric strain develop 8% reducing in nature.
ANS=pressure applied(dp)=1815.93 atm
Q[GATE 2007].Determine the appropriate relation for bulk modulus and density strain.(¶=density)
a) K=¶{dp/d¶}
b) K=¶2{dp/d¶}
c) K=¶3{dp/d¶}
d) K=¶4{dp/d¶}
ANS=(a) K=¶{dp/d¶}
Q. If the pressure change 0.5 Mpa to 1 Mpa and cross bonding density change 500 kg/m3 to 501kg/m3 determine the bulk modulus in Mpa.
a)250 Mpa.
b)350 Mpa.
c) 300 Mpa.
d)400 Mpa.
ANS=(a) 250 Mpa.
Q. If the pressure density relation is given by
(P/Pa)=3001{¶/¶a} - 3000,where Pa and ¶a treated as constant at atmospheric condition then determine value of bulk modulus at 3 atm pressure.
ANS=21021 atm=2129952825 N/m3
Q. Determine the bulk modulus for iso thermal process.
a)P
b)2P
c)3P
d)4P
ANS=(a)P
Q. If the pressure volume relation is given by Pvn=const
where n is const, then the bulk modulus is.
a)np
b)n2p
c)n3p
d)n4p
ANS=(a)np
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