A cylindrical-shaped piston of density rho p, diameter D, and length L falls at

Question

A cylindrical-shaped piston of density rho p, 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. Assuming that the air pressure below the piston is equal to that above the piston, and neglecting any air resistance, generate an expression for terminal speed V as a function of the other variables. Note: Terminal speed is the constant speed at which the piston would fall if the cylinder were tall enough for steady conditions to be achieved. Suppose rho p = 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. Now suppose that the pressure below the piston is greater than that above the piston. For the same dimensions and fluid properties of part (b), calculate the difference in pressure Pbelow - Pabove in kPa required to keep the piston stationary.

Explanation / Answer

you are nit allowed to ask so many questions in a single post pls split them in multiple posts and then re post them( i know they are related to each other so post the first part get its solution and then post the second part n provide the solution of first part with it) thanks

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