In a pipe of 400mm and 900m length an oil of specific gravity 0.75 is flowing at the rate of 0.5Rm³/s find
1) Heat lost due to friction and
2) power required viscosity of oil as 0.3 Stokes.
Take kinematic viscosity of oil as 0.3stroke.
1)
V=πd2l,V=\pi d^2 l,V=πd2l,
v=Vt,v=\frac Vt,v=tV,
t=Vv=πd2lv=3.14⋅0.42⋅9000.5=15 min,t=\frac Vv=\frac{\pi d^2 l}{v}=\frac{3.14\cdot 0.4^2\cdot 900}{0.5}=15~min,t=vV=vπd2l=0.53.14⋅0.42⋅900=15 min,
ΔQ=ρηgt=0.75⋅0.3⋅10⋅900=2.02 kJ,\Delta Q=\rho \eta gt=0.75\cdot 0.3\cdot 10\cdot 900=2.02~kJ,ΔQ=ρηgt=0.75⋅0.3⋅10⋅900=2.02 kJ,
2)
P=ΔQt=2020900=2.25 W.P=\frac{\Delta Q}{t}=\frac{2020}{900}=2.25~W.P=tΔQ=9002020=2.25 W.
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