5.8 Calculate the drag coefficient and drag force on a cylindrical shape flag post of the ship having diameter 60mm and 3m long exposed to wind velocity of 10m/s. The density and the kinematic viscosity of air are 1.2 kg/m and 1.6x 10 m/srespectively. [Ans: 10.8 N]
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- 5.7 The rectangular roof sheet of a kennel has a dimension of 6m x 2m. Calculate the drag force on its upper surface if the wind is blowing parallel to its length at 3m/s. The density and the kinematic viscosity of air are 1.2 kg/m³ and 1.6 x 10-3 m/s, respectively. [Ans: 0.195 N]The drag force acting on a model torpedo, 1/20 the size of the prototype, is measured at 80 N in water with density of 988 kg/m³, and kinematic viscosity of 0.56 × 10-6 m² /s. The prototype's speed is 15 m/s in sea water with density of is 1010 kg/m³, and kinematic viscosity of 1.3 x 10-6 m² /s. Determine the drag force acting on the prototype. 2Question 3 The aerodynamic derivative X, may be determined from the following expression: X -pU SCD %3D where p is the air density, S is the wing area, U is the airspeed, and Cp is the drag coefficient. Consider an aircraft of weight 68 kN and wing area 43 m?, flying straight and level under international standard atmosphere (ISA) conditions, where p 1.018 kg/m, at an airspeed of 155 m/s. The aircraft %3D has a drag polar Cp = 0.011 + where Ci is the lift coefficient. Calculate the value of X, at this flight condition. Give your answer in units of Ns/m.
- Ex. The force required to tow a 1:30scale model of a motor boat in a lake at a speed of 2m/s is 0.5 N, Assuming that the viscosity resistance due to water and air is negligible in comparison with the wave resistance, calculate the corresponding speed of the prototype for dynamically similar conditions. What would be the force required to propel the prptype at that velocity in the same lake? Ans.: 10.95m/s, 13500N2- Air (v = 1.8×10° m²/s) flows along a flat plate with a velocity of 150 km/hr. How long does the plate have to be to obtain a laminar boundary layer thickness of 8 mm. %3D [6.146 m](b) A wind-tunnel experiment is performed on a small 1:5 linear-scale model of a car, in order to assess the drag force F on a new full-size car design. A dimensionless "drag coefficient" Ca is defined by C, =- pu'A where A is the maximum cross-sectional area of the car in the flow. With the model car, a force of 3 N was recorded at a flow velocity u of 6 m s. Assuming that flow conditions are comparable (i.e., at the same Reynolds number), calculate the expected drag force for the full-sized car when the flow velocity past it is 31 m s (equivalent to 70 miles per hour). [The density of air p= 1.2 kg m.]
- The main cross-cable between towors of a coastal suspension bridge is 27.9 cm in diameter and 60 m long. Estimate the total drag force in (N] on this cable in crosswinds of 67.5 km/h. Assume the temperature of air is 15°C. Assume the drag coefficient is 1.5. The tolerance of your answer is 2%. PROPERTIES Air at 15"C Density = 123 kglm Dynamic viscosity 1.79 x 10 Ns/m?using pure water at 20°C. The velocity of the prototype in seawater (p = A 1/18 scale model of the submarine is to be tested in the water tunnel 1015 kg/m³, v = 1.4x106 m²/s) is 3 m/s. Determine: a) the speed of the water in the water tunnel for dynamic similarity D) the ratio of the drag force on the model to the drag force on the prototypeWe want to predict the drag force on a remote-control airplane as it flies through air having a density of 1.21 kg/m³ and a viscosity of 1.76x10- Pa-s. The airplane's fuselage has a diameter of 200 mm and the airplane will fly through air at a speed of 32 m/s. A model of the airplane's fuselage will be tested in a pressurized wind tunnel. The diameter of the model is 75 mm and the density and viscosity of the air in the wind tunnel are 3.00 kg/m³ and 1.82× 10-5 Pa-s, respectively. a) The diameter of the airplane's fuselage will be used to define the Reynolds number Re, for the flow around the fuselage. Compute the Reynolds number for the flow around the airplane's fuselage (answer: Re, = 4.40x 10'). b) Find the speed of the air that should be used to test a model of the fuselage in the wind tunnel to correctly model dynamic conditions (answer: 35.6 m/s). c) The model is tested in the wind tunnel at four speeds that bracket the speed computed above. The measured drag forces on the…
- The net drag of a moving body is produced by both pressure and shear stress effects. In most instance these two effects are considered together and an overall drag coefficient CD, defined as CD = D/(1/2 rU2A)。The drag coefficient are depend on what physical effects or dimensionless number.The drag force on a submarine, which is moving on the surface, is to be determined by a test on a model which is scaled down to one-twentieth of the prototype. The test is to be carried in a towing tank, where the model submarine is moved along a channel of liquid. The density and the kinematic viscosity of the seawater are 1010 kg/m³ and 1.3x10-6 m 2/s, respectively. The speed of the prototype is 2.6 m/s. Assume that F = f(V, L. g. p.), using pi-theorem and similarity principle to: a) Determine the speed at which the model should be moved in the towing tank. b) Determine the kinematic viscosity of the liquid that should be used in the towing tank.A blimp is designed to move in air at C at 7 m/s. If a 1:20 scale model is tested in water at 20 "C, what should the water velocity be? If the measured water drag on the model is 3.2kN, calculate the drag on the prototype blimp and the power required to propel it. (For water u 1.02x10 pa.s, p 1000 kg/m' and for air a 1.81x10 pa.s, p 1.2kg/m')