6.49 As illustrated in Fig. P6.49, a tornado can be approximatedby a free vortex of strength I for r > R, where R. is the radius ofthe core. Velocity measurements at points A and B indicate that= 125 ft/s and V3 = 60 ft/s. Determine the distance from pointVAA to the center of the tornado. Why can the free vortex model not beused to approximate the tornado throughout the flow field (r > 0)?yR.В+100 ft→FIGURE P6.49

Name: 6.49 As illustrated in Fig. P6.49, a tornado can be approximatedby a
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: 6.49 As illustrated in Fig. P6.49, a tornado can be approximatedby a free vortex of strength I for r > R, where R. is the radius ofthe core. Velocity measurements at points A and B indicate that= 125 ft/s and V3 = 60 ft/s. Determine the distance fro

Answered: Image /qna-images/answer/38cbd6b8-0c1f-4d34-b8f4-75a3b9f79171.jpg

Engineering

Mechanical Engineering

6.49 As illustrated in Fig. P6.49, a tornado can be approximated by a free vortex of strength I for r > R, where R, is the radius of the core. Velocity measurements at points A and B indicate that V = 125 ft/s and V3 = 60 ft/s. Determine the distance from point A to the center of the tornado. Why can the free vortex model not be used to approximate the tornado throughout the flow field (r > 0)? В +100 ft→ IFIGU RE P6.49

6.49 As illustrated in Fig. P6.49, a tornado can be approximated by a free vortex of strength I for r > R, where R, is the radius of the core. Velocity measurements at points A and B indicate that V = 125 ft/s and V3 = 60 ft/s. Determine the distance from point A to the center of the tornado. Why can the free vortex model not be used to approximate the tornado throughout the flow field (r > 0)? В +100 ft→ IFIGU RE P6.49

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

Q3. In the two dimensional situation shown, the following quantities are given: u = 50, v, = 20, PN =0, PE =10.The flow is steady and the density is uniform. The momentum equations for u, and v, VN are given by: u=d. (PP-PE) v=d, (PP-PN) where the constants d and d, are given by d = 1, d, = 0.6. The control volume shown has Ax = Ay. Use SIMPLE algorithm to obtain the values of u, V and pp. W 3 Ax N n P S S e Ay E
3
Q.2 Which of the following is true for the free vortex A V.R=constant B V/R= constant C R/V= constant D V.R=constant
Q.3 The velocity components in the x and y directions of a two dimensional is equal to potential flow are u and v, respectively. Then (a) (b) ax (c) (d) ay
Q.1 b) 1. Find the velocity at a point (4, 3, 1) after 2 sec. for a three dimensional flow given by Eq.1. ? 2. Determine whether the continuity equation is satisfied? 3. Show that this flow is kinematically possible? 4. Is the fluid flow irrotational? U = u = x²y,v = 2xy – xy2, w = x² – z² Eq.1 |
Q.4 A steady, uniform-density, 2-D flow is to be calculated on the square grid shown below. The boundary velocities are given as; v₁ =30, V = 40,uc=100, u = 50, u = 200, u, = 210, V = 0 and v₁ = 20. Among these numbers, there is some doubt about correctness of the value of u,. If all other numbers are correct, what should be the correct value of u,? The internal velocities are governed by simplified momentum equations given by: up = 70+0.5 (P₁-P₂) u, = 10 +0.7 (P3-P4) V =30+0.5(P3-P₁) VG =18+0.8(P₁-P₂) Write discretized continuity equation for each control volume. Derive the discretization equation for pressure by substituting from momentum equations, following SIMPLER calculation procedure. Solve the pressure equations to obtain P₁, P2, P3 and P₁. Hence obtain values of up, u, V and VG
3.1 For the following flow fields, determine whether the flow exists or not: (a) V = ke'î – ke`yj (b) V = -kx/yî +kIn(x°y)} %3D [Ans: (a) flow exists (b) flow exists]
4.5 The water flows in a 4m wide canal at a velocity of 5 m/s. A wedge-shaped column bifurcates the stream, as shown in Fig. 4.29. Calculate the force per unit depth exerted by the water stream on the column, if the wedge angle (a) is 30°. V=5m/s V=5 m/s V=5 m/s Fig. 4.29 [Ans: 3407.4N]
Q20: Determine the stream function for the following flow fields. u = 2, v = 4x, (b) u = -2x -siny – 2xsiny, v = 2y –x²cosy – 2cosy, (a) u = y + x? – 2xy, v = x + y² – 2xy, u = 1+x +x? - 2xy, v = 1 – y+y² – 2xy. (c) (d) u = x ,v = 1 + x – y, (e)
6.41 (WILEYa The velocity potential for a certain inviscid, incom- pressible flow field is given by the equation $ = 2x°y – ()y³ %3D S where o has the units of m/s when x and y are in meters. Determine the pressure at the point x = 2 m, y = 2 m if the pressure at x = 1 m, y = 1 m is 200 kPa. Elevation changes can be neglected, and the fluid is water.
6.6 The boundary layer thickness d at any section for a flow past a flat plate de- pends upon the distance x measured along the plate from the leading edge to the section, free stream velocity U and the kinematic viscosity v of the fluid. Show with the help of Rayleigh's indicial method of dimensional analysis that c (Ux/v) or %3D