A solid cylinder is concentric with a straight pipe. The cylinder is 0.5 m long

Question

A solid cylinder is concentric with a straight pipe. The cylinder is 0.5 m long and has an outside diameter of 8 cm. The pipe has an inside diameter of 8.5 cm. The annulus between the cylinder ad the pipe contains stationary oil. The oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. Most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s? A solid cylinder is concentric with a straight pipe. The cylinder is 0.5 m long and has an outside diameter of 8 cm. The pipe has an inside diameter of 8.5 cm. The annulus between the cylinder ad the pipe contains stationary oil. The oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. Most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?

Explanation / Answer

specfic gravity of oil=denity of oil/denity of standerd fluid

0.92*1000=density of oil

920 kg/m-3

kinematic visocity =dynamic visocity/density ,5.57*10-4*920=0.51 (NS/M-20 )

from newton law of visocity =u*du/dy(dy=0.5cm)

0.51* (1/5*10-2)=10.2(

area of cylinder=2*3.14*4*.5

=0.1256

shear stress=force/area

.1256*10.2=1.28Newton

hence force=1.28n answer.

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