The drag force F acting on a spherical particle of diameter D falling slowly through a...
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...
The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (µ), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
please show all work The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis.
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%)
6a. The aerodynamic drag acting on a cylinder at a very low Reynolds number (Stokes flow or creeping motion) is a function of dynamic viscosity of fluid (u), diameter of cylinder (D) and freestream velocity (U). Find a non-dimensional parameter using dimensional analysis. 6b. A model test is to be conducted in a water tunnel using a 1: 20 model of a submarine, which is to travel at a speed of 12 km/h deep under sea surface. The water temperature...
Consider the viscous pipe flow. The relevant variables for the problem are summarized as follows: P (pressure drop) f (p density, U = velocity, D diameter, viscosity in kg/m.s, E= roughness, L length). You need to determine Number of variables is a. (5) b. (6) ) с. (7) Number of the dimensions is d. (3) e. (4) 5 Number of the groups is g. (3) h. (4) i. (5) If the first group is represented as: n1- Lpa vo DC...
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).
The drag F on a sphere of volume V moving slowly with speed u in a fluid of viscosity η is l:iven by 3 wiie.reSXİ) s ia nurricTICial «x»nsiant.. Firnd i Inc, appr'«ixilii iai? (:lliintyc, e57 n P produced by small changes δν, δη and δυ in the volume, viscosity and speed. [5 marks]