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- Vortices are usually shed from the rear of a cylinder, which are placed in a uniform flow at low speeds. The vortices alternatively leave the top and the bottom of the cylinder, as shown in figure, causing an alternating force normal because of generating a dimensionless relationship for Kármán vortex shedding frequency fk (1/s) as a function of free-stream speed V(m/s), fluid density r (kg/m3), fluid viscosity µ (kg/m.s), sound velocity c (m/s), surface roughness ɛ (m) and cylinder diameter D(m). Solve the problem by making the necessary assumptions and drawing the schematic figure. I-Determine the nondimensional p parameters using repeating variables, involving f, ɛ, c and µ as nonrepeating variables ii-the dynamics of Bhosphorus bridge is investigated in a wind tunnel for the vortex generation behind the wires. A 1/56,2 scaled down model of the hanging wires is used in the laboratory. If vortex shedding frequency of of Bhosphorus bridge 562 Hz is measured in the laboratory at…An incompressible fluid flows in a linear porous medium with the following properties: Lenth = 3000 ft k = 100 md p1 = 2000 psig p2 = 1980 psig height = 25 ft porosity = 20% width = 300 ft viscosity = 2 cP Assume the dimension is slanted, i.e., a dip angle of 5 degrees (downward from p1 location to p2 location), what is the apparent fluid velocity under this new boundary condition?A one-fifth scale model of a water turbine is tested in a laboratory at T = 20°C. The diameter of the model is 8.0 cm, its volume flow rate is 17.0 m3 /h, it spins at 1500 rpm, and it operates with a net head of 15.0 m. At its best efficiency point, it delivers 450 W of shaft power. Calculate the efficiency of the model turbine. What is the most likely kind of turbine being tested?
- As a mechanical engineer, you can predict the performance of a new centrifugal pump using two methods which are One Dimensional Analysis (Velocity Triangle) and Hydraulic Scaling. Describe the limitation of each method.The following equation may be used to estimate the take-off ground run for an aircraft: Equation has been attached as an image. Calculate the take-off ground run, from a runway at ISA-SL conditions, for a twin engine aircraft for which the following data may be assumed Aircraft lift-off speed 155 knots Max take-off gross weight 220 tonnes Wing planform area (S) 358 m Wing CL (t/o flaps deployed, a = 0) 1.1 Wing span 53.18 m Oswald efficiency factor, e 0.7 KGE = CD(IGE) / Co(OGE) 0.4 Co sum (fuselage, wing, tailplane and nacelle) 0.015 Co for undercarriage 0.021 Co for flaps at taking-off setting 0.0073 Coefficient of rolling friction, u 0.02 Engine thrust (assumed constant) 310 kN per engine It may be assumed that 1knot = 0.51444 m/s It may be assumed that 1knot = 0.51444 m/sSubject:Dynamics of Rigid Bodies Topic: "Conservation of Linear Momentum, Resultant Impulse Equationand Impulse Momentum Equation" Kindly answer the activity with FBD and complete solution, thankyou.
- Unless stated otherwise take:Patm = 10^5, P(water) = 1000 kg/m^3 ; P(air) = 1.2 kg/m^3 ; g = 9.8m/s^2gage pressure Pg = P - PatmUnless specified otherwise assume uniform velocity profiles in duct locations.The Bernoulli eq’n (BE), P + ½ρV2 + ρgz = constant In this formulation the scalar variable z is the vertical height measured opposite the direction of g (z is always taken up independent of your coordinate system; pgz is potential energy)This BE is only valid along a streamline in steady state flow, when viscous friction effects can be ignored, called “ideal” fluid motion, and the density is assumed to be constantthe differential radial component of –?P + ρg = ρawith the centripetal acceleration , ar = - V^2/r , to get dp/dr = ρgr + ρV^2/rThe Bernoulli eq’n is often divided through by the constant ρg ≡ γ so that each term has units of length, a height or “head” : (P/ ρg) + (V2/2g) + (z) = constant. Q = VA = flow rate = constant, as a second eq’n to solve for an unknown velocity. the…A large artery has an inner radius of 4×10-3 m, the flow rate of the blood is 1 cm3/s. Find (a) the mean and maximum velocities of the blood, (b) the pressure drop in an artery fragment 0.1 m long, (c) the power necessary to maintain this flow in said fragment, (d) the number of Reynolds. Consider that for blood: η = 2.08 × 10-3 Pas, ρ = 1.06 × 103 kg / m3A vertical jet thru a nozzle supports a 150.90N weight. The velocity and diameter of the jet are 17.90m/s and 3.90 cm respectively. Find the distance of load from the nozzle in meters. Group of answer choices 13.79 31.79 17.93 71.39I need an answer for this asap :(
- A 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?The power P generated by a certain windmill design depends upon its diameter D, the air density ρ, the wind velocity V, the rotation rate Ω, and the number of blades n. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V = 40 m/s and when rotating at 4800 rev/min. What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 10 m/s at 2000 m standard altitude? At 2000 m altitude, ρ = 1.0067 kg/m3. At sea level, ρ = 1.2255 kg/m3. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V = 40 m/s and when rotating at 4800 rev/min. What is the appropriate rotation rate of a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 10 m/s at 2000 m standard altitude?5. The wind variation for a typical site is described using Weibull distribution. Consider a case where the annual mean wind speed is 6 meters/second at 30 meters in height, and the Weibull distribution factor k=2. Discretize this in 1.5 m/s increments and predict the number of hours per year for the range of wind speeds that would be expected. For a 1.5MW wind turbine with Cp=0.40, density of air=1.225kg/m^3, and rotor diameter of 60 meters, determine the energy captured by this wind turbine over the course of a year.