Question

In: Mechanical Engineering

4- If the drag force on a smooth sphere depends on the velocity (V), sphere diameter...

4- If the drag force on a smooth sphere depends on the velocity (V), sphere diameter (D), viscosity (?), and density (?), use dimensional analysis to show the drag coefficient on the sphere is a function of the Reynolds number only. (15%) ?

Solutions

Expert Solution


Related Solutions

Find an expression for the average velocity in a smooth pipe if it depends on the...
Find an expression for the average velocity in a smooth pipe if it depends on the viscosity, the diameter, and the pressure gradient dp/dx.
Drag measurements were taken for a 5 cm diameter sphere in water at 20 °C to...
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) = 1.0 X 10-6 m2/s and kinematic viscosity of air (v) = 1.46 X 10-5 m2/s. Perform the Buckingham Pi theorem to generate a relationship for FD as a function of the independent variables. Assume the drag FD is a...
A 6.2-mm-diameter electrical transmission line is exposed to windy air. Determine the drag force exerted on...
A 6.2-mm-diameter electrical transmission line is exposed to windy air. Determine the drag force exerted on a 165-m-long section of the wire during a windy day when the air is at 1 atm and 15°C and the wind is blowing across the transmission line at 65 km/h. The density and kinematic viscosity of air at 1 atm and 15°C are ρ = 1.225 kg/m3 and ν = 1.470×10-5 m2/s. _____ N
Air at 20°C (1 atm) is flowing over a 0.025-m diameter sphere with a velocity of...
Air at 20°C (1 atm) is flowing over a 0.025-m diameter sphere with a velocity of 3.5 m/s. If the surface temperature of the sphere is constant at 80°C, determine the Reynolds number corresponding to the sphere, its average drag co-efficient, and the heat transfer rate from the sphere. The properties of air (1 atm) at the free stream temperature T∞ = 20°C, ρ = 1.204 kg/m3, k = 0.02514 W/m∙K, μ = 1.825 × 10−5 kg/m∙s, and Pr = 0.7309. At the surface temperature Ts= 80°C: μs =...
Determine the force (in the lab frame) between two charges moving with the same velocity V....
Determine the force (in the lab frame) between two charges moving with the same velocity V. What is the ratio of transverse-to-longitudinal force? Explain what happens to this ratio when the two charges lie on a line parallel to V or perpendicular to V?
Air at 25°C flows over a 10-mm-diameter sphere with a velocity of 20 m/s, while the...
Air at 25°C flows over a 10-mm-diameter sphere with a velocity of 20 m/s, while the surface of the sphere is maintained at 75°C. What is the rate of heat transfer from the sphere? q = ___ W ? Please provide correct final answer for guaranteed thumbs up rating !
A sphere of radius r has surface area A = 4πr2 and volume V = 4...
A sphere of radius r has surface area A = 4πr2 and volume V = 4 3 πr3. The radius of sphere 2 is triple the radius of sphere 1. (a)What is the ratio of the areas, A2/A1? (b) What is the ratio of the volumes, V2/V1?
When a parachute opens, the air exerts a large drag force on it. This upward force...
When a parachute opens, the air exerts a large drag force on it. This upward force is initially greater than the weight of the sky diver and, thus, slows him down. Suppose the weight of the sky diver is 852 N and the drag force has a magnitude of 1018 N. The mass of the sky diver is 86.9 kg. Take upward to be the positive direction. What is his acceleration, including sign?
how smooth increase in muscle force is produced
how smooth increase in muscle force is produced
Forces that are dependent on VELOCITY are DRAG FORCES. These forces are due to the reaction...
Forces that are dependent on VELOCITY are DRAG FORCES. These forces are due to the reaction of the medium to the motion of the object. There are two sorts of these: LINEAR, or VISCOUS drag, models forces proportional to the velocity of the object and occurs in DIFFUSE media at SLOW speeds, and QUADRATIC, or TURBULENT, drag models forces proportional to the square of the velocity and occur in DENSE media or at HIGH speeds. 1. A sailboat is pushed...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT