This problem involves a cylinder falling Inside a pipe that is filled with oil, is depleted in the figure. The small space between the cylinder and the pipe is labricated with an oll film that has aboolute viscosity j. (a) Derive a formula for the steady rate of descent of a cylinder with weight W, diameter d. and length sliding inside a vertical smooth pipe that has inside diameter D. Aesume that the cylinder is concentric with the pipe as it falls. (b) Use the general formula you derive to find the rate of descent of a cylinder 100mm in diameter that slide inside a 100.5mm diameter pipe. The cylinder is 200mm long and weighs 15N. The lubricant is SAE 2OW oll with a viscosity of 2.0 x 10- Pax.

Example 5 The space between two square flat parallel plates is filled with oil. Each side of the plate is 60 cm. The thickness of the oil film is 12.5 mm. The upper plate, which moves at 2.5 metre per sec requires a force of 98.1 N to maintain the speed. Determine : - i.the dynamic viscosity of the oil, and ii.the kinematic viscosity of the oil if the specific gravity of the oil is 0.95.

Question in image. i need help with q 2

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The flow rate of water in a garden hose is measured using the bucket-andstopwatch method. Filling a 5-L bucket takes 75 seconds. If the inner diameter of the hose is 10 mm and the density and viscosity of water are approximately 998 kg m-3 and 0.9 cP, respectively, (a) is the flow inside the hose laminar or turbulent? (b) If the flow rate is adjusted such that the flow is with Re = 2100, how long would it take to fill the same bucket?

FIuid mechanic

A body slides on a flat surface coated with heavy oil so that it suffers a viscosity resistance given b Fm:-cv If it was for the starting point for the body find . (A) Values u as a function (B) The maximum distance a body can travel

Derive an expression for the capillary height change h for afluid of surface tension Y and contact angle θ between twovertical parallel plates a distance W apart, as in Fig. What will h be for water at 20°C if W = 0.5 mm?

A cube of side (a) and mass (M) is initially sitting fully submerged at the bottom of a container filled with a liquid of kinematic viscosity v and density p. The container has a square cross-section of side (a+a/5) and the cube is sitting right at the middle of the container base. (a) A force (F) starts pulling the cube up at a constant velocity (U). Develop an expression for the force in terms of (U, M. a. g, p and v). You may assume that the velocity in the gap between the cube's sides and the container walls is linear. The expression for (F) is to be valid as long as the cube remains submerged. (b) After the cube reaches the water surface, it continues to be pulled up by the same force. Develop a differential equation for the variation with time of the fraction of the cube that is submerged in water.

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