(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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Converging duct flow is modeled by the steady, twodimensional velocity field V-›= (u, ? ) = (U0 + bx) i-›− byj-› where U0 is the horizontal speed at x = 0 . As vertical line segment AB moves downstream it shrinks from length ? to length ? +Δ? assketchedin.Generateananalytical expression for the change in length of the line segment, Δ? . Note that the change in length, Δ? , is negative.
Plot the streamlines and potential lines of the fl ow due to aline source of strength m at (a, 0) plus a source 3m at(2a, 0). What is the fl ow pattern viewed from afar?
A food product with 80% moisture content in a 10 cm diameter can wants to be frozen. The density of the product is 1000 kg / m³, the thermal conductivity is 1.0 W / (m K), and the initial freezing temperature is -2 ° C. After 14 hours in the freezing medium -30 ° C, the product temperature becomes -10 ° C. Estimate the convection heat transfer coefficient of the freezing medium. Assume the can as an infinite cylinder.
When a sea-level flow approaches a ramp of angle 20°, anoblique shock wave forms as in Figure . Calculate(a) Ma1, (b) p2, (c) T2, and (d ) V2.
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Consider the boundary layer flow = 1 - (1 − 2)¹5, 0
Consider the boundary layer over a flat plate at 45° angle as shown. The exact flow field in this configuration is described by the Falkner-Skan similarity solution with n = 1/3 (see Figure 10.8 of the textbook, the Falkner-Skan profile chart). The objective is to find the approximate solution to this problem using the Thwaites method and calculate its error. Ve 11/4 Assume that for this approximate solution the free stream velocity is U₂(x) = ax" where a is an unknown constants and n = 1/3. Use the Thwaites method to find the momentum 0/x and 8*/x displacement thicknesses as well as the friction coefficient cf = 0.5, as functions of Re₂ = Uer/v, where is the shear stress at the wall. (No need to interpolate the Thwaites method table values; you can pick the nearest numbers.) Using the Falkner-Skan profile chart approximate the friction coefficient c; (by estimating the slope of the corresponding velocity profile at the wall). How does this value compare with your prediction in part…
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A jet of ethylene exists a 40 mm diameter nozzle into still air at 300K and 1 atm. Compare the spreading angles and axial locations where the jet centreline mass fraction drops to the stoichiometric value for initial jet velocities of 20 cm/s and 2 cm/s. The viscosity of ethylene at 300K is 102.3*10^-7 N.s/m^2

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