The terminal speed of a spherical particle falling in a liquid is given by 2R2g P-P)...
Problem #3 At very low Reynolds numbers a ball viscometer can be used to measure fluid viscosity by dropping a spherical ball in the fluid and measuring its terminal velocity. Consider a solid ball of radius a = 1cm and density Ps = 2,500 kg/m falling in liquid glycerin with density P = 1,250 kg/m3. The measured terminal velocity of the ball is U = 0.15 m/s. Calculate the viscosity of the liquid.
with A small particle of radius R and density p, moving at speed vin a viscous fluid of density dynamic viscosity n experiences a drag force given by Stokes' law F= 69Rv Find an expression for the terminal velocity of the particle as it falls through the fluid under the influence of gravity which includes Pp, pg, R, and n.
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%)
A stainless steel ball (radius rsphere = 0.3175 cm, density ρsphere = 7.866 g/cm3) falls through a viscous fluid (density ρfluid = 1.2 g/cm3) and quickly reaches terminal speed v. You measure the ball’s position as a function of time to find v. The ball is at positions y = 10 cm at time 2.402 and at position y = 5 cm at time 3.26. Calculate the viscosity η of the fluid in units of poise = g/(cm-s), using your...
Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.73 µm) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10 ✕ 103 kg/m3. (Assume the viscosity of water is 1.002 ✕ 10−3 kg/(m · s).)
1.) Find the terminal velocity (in m/s) of a spherical bacterium (diameter 1.94 µm) falling in water. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.10 ✕ 103 kg/m3. (Assume the viscosity of water is 1.002 ✕ 10−3 kg/(m · s).
Find the terminal speed in µm/s of a bacteria (size 2 µm) falling in water. The drag force for a small object like a bacteria is given by Fdrag = Crv where C = 0.02 is the drag coefficient, r is the radius and v is the speed. Take the density of the bacterium to be 1100 kg/m3. (Assume the bacteria is spherical.) ________ µm/s
с 79% 251 PM Sat Apr 27 2. A solid sphere of diameter d and density ph falls in a fluid of density p and kinematic viscosity u.The gravitational acceleration is g and the terminal velocity is y (a) Determine the non-dimensionalt o for dependence of the viscosity on the other parameters. (b) If a model sphere with di-d/z is use test, determine the kinematic viscosity of the fluid and the terminal velocity vi that make the problem similar. (25...
Stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes' law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density 7.8 ✕ 103 kg/m3, diameter 3.2 mm) is dropped in a container of motor oil. It takes 11 s to fall a distance of 0.45...
Consider a spherical bacterium, with radius 1.7 μm , falling in water at 20° C. Find the terminal speed of the spherical bacterium in meters per second, ignoring the buoyant force on the bacterium and assuming Stokes' law for the viscous force. You will first need to note that the drag force is equal to the weight at terminal velocity. Take the density of the bacterium to be 1.3 × 103 kg/m3. The viscosity of water at 20 °C is...