(See Fluids in the News article titled "Some Hurricane Facts".) Consider a category five hurricane that has a maximum wind speed of175 mph at the eye wall, 10 miles from the center of the hurricane. If the flow in the hurricane outside of the hurricane's eye isapproximated as a free vortex, determine the wind speed at location (a)20 mi, (b)50 mi and (c)40 mi from the center of the storm.(a) Ve=(b) ve=(c) Ve=iiimphmphmph

The objective of the question is to calculate the wind speed at different locations from the center…

Answered: (See Fluids in the News article titled…

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

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Outside an inner, intense-activity circle of radius R , a tropicalstorm can be simulated by a polar-coordinate velocitypotential ϕ ( r , θ ) = U o R θ , where U o is the wind velocity atradius R . ( a ) Determine the velocity components outsider = R . ( b ) If, at R = 25 mi, the velocity is 100 mi/h and thepressure 99 kPa, calculate the velocity and pressure atr =100 mi.
Using the following streamline pattern, draw an appropriate control volume on the topside of the airfoil and describe how the airfoil creates a lift force based on the equations for conservation of mass and momentum.
Compare free vortex with forced vortex according to velocity and static pressure distribution. Think motion into hole of water in a bathtub. Discuss the reasons of formation of free vortex motions rotating in different directions in north and south hemisphere in the world while no rotation motion is seen at equatorial plane. Investigate similar physical phenomena in universe.
Consider two different flows over geometrically similar airfoil shapes,one airfoil being twice the size of the other. The flow over the smallerairfoil has freestream properties given by T∞ = 200 K, ρ∞ = 1.23 kg/m3,and V∞ = 100 m/s. The flow over the larger airfoil is described byT∞ = 800 K, ρ∞ = 1.739 kg/m3, and V∞ = 200 m/s. Assume thatboth μ and a are proportional to T 1/2. Are the two flows dynamicallysimilar?
A liquid (? = 850 kg/?3; ? = 1.7 × 10−1 Pa ∙ s) flows tangentially past a flat plate. If the free stream velocity is 2 m/s Question 1: what is the velocity 5 m downstream from the leading edge of the plateand 15 mm away from the plate. Question 2: if that plate is 10 m long and 3 m wide. Determine the drag force on the plate when liquid flows over both sides of the plate. (just only answer Question 2)!!!
Please indicate the given, assumption and illustration. A source with strength 0.25 m2/s and a vortex with strength 1 m2/s (counter-clockwise) are located at the origin. After working out the equations for the stream function and velocity potential components, determine the following velocity components at a point P(1, 0.5): A) The Radial Velocity component in meters/second. B) The Tangential Velocity Component in meters/second.
Consider the vortex flow discussed in this section. Imagine that you are standing at a location 20 feet from the center of the vortex, and you are feeling a 100 mi/h wind. What is the strength of the vortex?
While driving around a curve of 200-m radius, an engineer notes that a pendulum in the car hangs at an angle of 15 degrees to the vertical. What should the speedometer read?
Answer: vp= 3745 mi/hr
Describe how an observer, running along a normal shockwave at fi nite speed V, will see what appears to be an obliqueshock wave. Is there any limit to the running speed?
HINT:Please show Navıer Stokes Equatıon The upper plate moves to the right with speed U2 = 0.2 m/s while the lower plate moves to the left with speed U1 = 0.8 m/s. The gap between the plates is a = 8 cm. Determine the velocity distribution in the gap.Assumptions: Flow is fully developed flow, and pressure does not change in the flow direction.
2. A 0.10 cm-radius sphere falling in air (T= 20°C) at a speed of 25 m/s. Determine the following: a) Skin drag force b) Form drag force c) Total drag force. 3. The raindrops of around 3 mm diameter fallat 5 mis, while drizzle with droplets of 0.3 mm diameter falls at 1.5 m's. what is the terminal velocity of such raindrops and terminal velocity of the drizzle?

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