(b) The kinematic viscosity of a fluid used for model is one third of the kinematic viscosity of the fluid used for prototype. During testing of the model, if viscosity and gravity forces are predominant, find the scale ration, velocity ratio and discharge ration
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- 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its bearing is found to be dependent on the force F normal to the shaft, the speed of rotation N of the shaft, the dynamic viscosity of the oil, and the shaft diameter D. Establish a correlation among these variables by using dimensional analysis.The Archimedes number, Ar, used in the flow of stratifiedfluids, is a dimensionless combination of gravity g , densitydifference Δ ρ , fluid width L , and viscosity μ . Find theform of this number if it is proportional to g .The Ekman number, Ek, arises in geophysical fluiddynamics. It is a dimensionless parameter combining seawaterdensity ρ , a characteristic length L , seawaterviscosity μ , and the Coriolis frequency Ω sin φ , where Ωis the rotation rate of the earth and φ is the latitude angle.Determine the correct form of Ek if the viscosity is in thenumerator.
- The spherical particle of unit density falls freely in air with a constant velocity of 0.50 cm/sec. The viscosity coeffiecient of the air 0.000180 poise. Using Stoke’s Law, find the radius of the particle.Taylor number (Ta) is used here to describe the ratio between the inertia effect andthe viscous effect. By applying Buckingham Pi’s Theorem, determine an equation forTa as a function of the radius of inner cylinder (r), cylinder tangential velocity (v),fluid dynamic viscosity (μ), gap distance (L) and fluid density (ρ).Find the kinamatic viscosity of liquid in stocks who's specific gravity is 0.95 and dynamatic viscosity 0.12 poise
- A plate 0.05mm distance from a fixed plate moves at 1.25 m/s and required a force per unit area of 3 Pa to maintain this speed by using an oil of specific gravity 0.65. Find the dynamic viscosity in centipoise and kinematic viscosity in stokes of the fluid between the plates. Calculate the specific weight in kN/m³, density, and the specific gravity of a liquid having a volume of 662900 cm and weight of 55 kNFluid mechanics, show all stepBooks on porous media and atomization claim that the viscosityμ and surface tension Y of a fl uid can be combinedwith a characteristic velocity U to form an important dimensionlessparameter. ( a ) Verify that this is so. ( b ) Evaluatethis parameter for water at 20°C and a velocity of3.5 cm/s. Note: You get extra credit if you know the nameof this parameter.
- Please answer only when you are sure and give correct answer Thedensity of an oil at 23°C is 750kg / (m ^ 3) Find its relative density and kinematic viscosity if the dynamic viscosity is 5 * 10 ^ - 3 * kg / m * s .State what is Bernoulli's Priciple for Pressure and Velocity? In 8 sentences only.A liquid of density ? and viscosity ? flows by gravity through a hole of diameter d in the bottom of a tank of diameter DFig. . At the start of the experiment, the liquid surface is at height h above the bottom of the tank, as sketched. The liquid exits the tank as a jet with average velocity V straight down as also sketched. Using dimensional analysis, generate a dimensionless relationship for V as a function of the other parameters in the problem. Identify any established nondimensional parameters that appear in your result. (Hint: There are three length scales in this problem. For consistency, choose h as your length scale.) except for a different dependent parameter, namely, the time required to empty the tank tempty. Generate a dimensionless relationship for tempty as a function of the following independent parameters: hole diameter d, tank diameter D, density ? , viscosity ? , initial liquid surface height h, and gravitational acceleration g.