For a smooth sphere with a 14 cm diameter thrown through air (air density of 1.25 kg/m3, air viscosity 1.83*10-5 Pa-s), what is the speed (in cm/s) when the Reynoldsnumber is 3,005?
For a smooth sphere with a 14 cm diameter thrown through air (air density of 1.25...
The drag force Fp on a smooth sphere falling in water depends on the sphere speed V, the sphere density P. the density p and dynamic viscosity of water, the sphere diameter Dand the gravitational acceleration g. Using dimensional analysis with p. V and D as repeating variables, determine suitable dimensionless groups to obtain a reneral relationship between the drag force and the other variables. If the same sphere were to fall through air, determine the ratio of the drag...
A liquid of density 1.33 x103 kg/m3 flows steadily through a pipe of varying diameter and height. At location 1 along the pipe the flow speed is 9.01 m/s and the pipe diameter 12.3 cm is 12.3 cm. At location 2 the pipe diameter is 17.5 cm. At location 1 the pipe is 8.09 m higher than it is at location 2. Ignoring viscosity, calculate the difference between the fluid pressure at location 2 and the fluid pressure at location...
A streetlight is approximated by a 50cm diameter sphere mounted on a (a) 0.10m diameter cylinder 2.5m long. Estimate, using the data below and stating any assumptions you make, the bending moment at the root of the cylinder due to aerodynamic forces with:- 2 winds of 6.3m/s and an air temperature of 15'C; (i) slightly stronger winds of 7m/s and an air temperature of 22'C (ii) Comment on your answers and what advice would you give with regards the (b)...
1) Air under standard conditions flows through a 5 mm diameter drawn tubing with an average velocity of V 40 m/s. Determine the pressure drop (Ap) and head loss (h) if the length of tube is 10 cm. Assume minor losses are zero. Air density 1.23 kg/m3 Air viscosity 0.0000179 N.s/m2
2. A small spherical particle (diameter = 75x10-6 m) is falling through air from a high elevation. Density of air is 0.85 kg/m3 and viscosity is 1.47 x 10-5 kg/m.s. Density of particle is 1,500 kg/m3. Determine the terminal velocity of the particle. (10%)
Water flows at speed of 6 m/s through a horizontal pipe of diameter 3.5 cm. The gauge pressure P1 of the water in the pipe is 1.7 atm. A short segment of the pipe is constricted to a smaller diameter of 2.4 cm . What is the gauge pressure of the water flowing through the constricted segment? Atmospheric pressure is 1.013 × 10^5 Pa. The density of water is 1000 kg/m^3 . The viscosity of water is negligible. Answer in...
Compute the terminal settling velocity in air of a sphere with density of 1,000 kg/m3. The sphere with a diameter of 10 μm falls through standard air (25 °C and 1 Atm).
Air at 100 kPa and density of 1.2 kg/m3 flows upward through a 5-cm diameter inclined duct at a rate of 50 L/s. The duct diameter is then reduced to 4 cm through a reducer. The pressure change across the reducer is measured by a water manometer. The elevation difference between the two points on the pipe where the two arms of the manometer are attached is 0.1 m. Determine the differential height between the fluid levels of the two...
Q3. Drag measurements were taken for a 5 cm diameter sphere in water at 20°C to predict the drag force of a 1 m diameter balloon rising in air with standard temperature and pressure. Given kinematic viscosity of water (v) = 10 X 106 m²/s and kinematic viscosity of air (v) = 1.46 X 10-5 m2/s. 1. Perform the Buckingham Pi theorem to generate a relationship for Fo as a function of the independent variables. Assume the drag Fo is...
A horizontal pipe, 10 cm in diameter, has a smooth reduction to a pipe 5 cm in diameter. If the pressure of the water in the larger pipe is 8.00*10^4 Pa and the pressure in the smaller pipe is 6.00*10^4 Pa, what is the flow speed of the water (in m/s) in the smaller pipe?