Q2. In the design and development competition in a University, a team of students has planned to develop a prototype submarine with 6.5 meter length that would travel fully submerged at X m/s speed in a fresh lake water. The team has designed a model which has one-sixth of a prototype size to test in the university wind tunnel to study the effect of various parameters, such as drag force on the prototype (Figure Q2). Considering the necessary assumptions (a) determine the speed of the wind the team has to blow into the tunnel in order to achieve similarity. (b) With all the same conditions the team change their mind and want to develop a smaller size of model to save money and time. Targeting the maximum acceptable speed of the air blown not to exceed 125 m/s to avoid compressibility of air, what should be the minimum length of the model? (c) Considering the information above for the design and development competition in a University, what will happen to the length of the model if the temperature of the blowing wind increases as a result of the season change in summer compared to winter?

Q2. In the design and development competition in a University, a team of students has planned to develop a prototype submarine with 6.5 meter length that would travel fully submerged at X m/s speed in a fresh lake water. The team has designed a model which has one-sixth of a prototype size to test in the university wind tunnel to study the effect of various parameters, such as drag force on the prototype (Figure Q2). Considering the necessary assumptions (a) determine the speed of the wind the team has to blow into the tunnel in order to achieve similarity. (b) With all the same conditions the team change their mind and want to develop a smaller size of model to save money and time. Targeting the maximum acceptable speed of the air blown not to exceed 125 m/s to avoid compressibility of air, what should be the minimum length of the model? (c) Considering the information above for the design and development competition in a University, what will happen to the length of the model if the temperature of the blowing wind increases as a result of the season change in summer compared to winter?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

a test tank will be used to measure the drag of a scale model ship 0.8 m long. This model bears full resemblance to a 40 m long prototype ship that was designed to sail at a speed of 10 m / s. Evaluate: a) the speed of the modelb) the ratio between the drag forces of the model and the prototypec) the relationship between the powers needed to overcome the drag of the model and the prototype take the number of froud into account in your analysis.
A model of the Airbus 320 is tested in a wind tunnel using air at standard conditions. If the tunnel airspeed is 50m/s, calculate the water speed if the same model is to be tested in a water tunnel atdynamically similar conditions. Take mair=1.73 x 10-5Pa.s, mwater=10-3Pa.s, rair=1.225kg/m3 andrwater=1000 kg/m3.
The drag equation for the Gofaster 172 is: D = 0.0003v2A. D is drag in pounds; v is airspeed in feet/second; and A is aircraft frontal area in square feet. At maximum airspeed, D = 140 lbs. How much does max airspeed INCREASE if the fuselage is narrowed such that frontal area A is reduced from 16 ft2 to 14 ft2? Give the answer in ft/sec AND mph. drag is 140 lbs. at maximum airspeed, regardless of frontal area. the question is: what is the INCREASE in max airspeed, not what is the max airspeed.
A road haulage truck has an approximate rectangular frontal area 2.5 m wide by 3.8 m high. To investigate the drag on the truck, a one – fifth scale model is to be tested in a wind tunnel. We can assume that the density and viscosity of the air are the same for the model as for the full size truck. If the truck travels at 120 km/h, what is the appropriate air speed for the model in the wind tunnel?
A 1:20 scaled-down model of a hydrofoil is tested in a water channel, at a velocity of 0.179 m/s. At this velocity, a drag force of 2.2 N is measured. Determine the drag force of the original hydrofoil, at a velocity of 0.8 m/s.
A prototype ocean platform piling is expected to encountercurrents of 150 cm/s and waves of 12-s period and 3-mheight. If a one-fifteenth-scale model is tested in a wavethe channel, what current speed, wave period, and wave heightshould be encountered by the model?
a test tank will be used to measure the drag of a scale model ship 0.8 m long. This model bears full resemblance to a 40 m long prototype ship that was designed to sail at a speed of 10 m / s. Evaluate: a) the speed of the model take the number of froud into account in your analysis.
For a new sailboat, a designer wants to determine the drag force that may be expected at a given speed. To do so, she places a model of the proposed hull in a test channel and uses three cables to keep its bow on the centerline of the channel. Dynamometer readings indicate that for a given speed, the tension is 40 lb in cable AB and 60 lb in cable AE. Determine the drag force exerted on the hull and the tension in cable AC.
Resistance R to the motion of a completely submerged body is given by R = ρV2 L2 φ , where ρ and ν are density and kinematic viscosity of the fluid while L is the length of the body and V is the velocity of flow. If resistance of a one-sixth scale airship model when tested in water at 10 m/s is 230 N, what will be the resistance in air of the airship at the corresponding speed? Kinematic viscosity of air is 13 times that of water and density of water is 810 times of air.
A tornado is simulated by a line sink m = -1000 m2/s plus aline vortex K = 1600 m2/s. Find the angle between anystreamline and a radial line, and show that it is independent ofboth r and θ. If this tornado forms in sea-level standard air, atwhat radius will the local pressure be equivalent to 29 inHg?
A student wants to estimate drag force on a golf ball of diameter D moving in air at a speed of U at atmospheric conditions. The student has access to a wind-tunnel and develops a replica of the ball that is 5 times smaller in diameter sets the wind speed 5 times larger than the actual golf ball. Compared to the force on the replica, the estimated drag force on the actual golf ball will be
A diamond-shaped body, of characteristic length 9 in, hasthe following measured drag forces when placed in a windthe tunnel at sea-level standard conditions: Use these data to predict the drag force of a similar 15 - indiamond placed at similar orientation in 20 ° C water flowingat 2.2 m/s.