A cylindrical-shaped piston of density rhop. diameter D. and length L falls at s

Question

A cylindrical-shaped piston of density rhop. diameter D. and length L falls at speed V inside a cylinder. The inner walls of the cylinder are coated with a thin film of oil of density rhooil. viscosity mu. and thickness h, as sketched. Suppose rhop = 7850 kg/m3 (steel). D = 4.20 cm L = 25.4 cm. h; = 0.0150 cm. and the oil is unused engine oil at a temperature of 150degreeC (see the Appendices for the required properties). Calculate the terminal speed V for these conditions, showing all your units and unity conversion ratios.

Explanation / Answer

to solve this question first you have to develop theoretical model. In fluid dynamics, an object is moving at its terminal velocity if its speed is constant due to the restraining force exerted by the fluid through which it is moving. In fluid dynamics, an object is moving at its terminal velocity if its speed is constant due to the restraining force exerted by the fluid through which it is moving. for terminal velocity formula is Vt= [g.D^2.(density of cylinder - density of oil)]/18 .viscosity of oil Vt=[9.8*0.042^2 * (7850-density of oil)]/18.density of oil by putting the ,density of oil and density of oil you will get terminal velocity..

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