A semi-infinite body is constructed from a uniform flow with velocity V.. and a source with strength A = 879 m²/s at the origin. The stagnation point on the body is located at location (r,0) = (13.8 m, TT). Determine the uniform flow velocity V∞, the coordinates (x, y), and the velocity components (Vx. Vy) at a point on the surface of the body with 0 = 2 rad. Give your answers to 3 decimal places. Vo = 63.696 m/s x = -5.743 m y = 12.548 m Vx = 37.189 Vy= 57.918 m/s m/s

A semi-infinite body is constructed from a uniform flow with velocity V.. and a source with strength A = 879 m²/s at the origin. The stagnation point on the body is located at location (r,0) = (13.8 m, TT). Determine the uniform flow velocity V∞, the coordinates (x, y), and the velocity components (Vx. Vy) at a point on the surface of the body with 0 = 2 rad. Give your answers to 3 decimal places. Vo = 63.696 m/s x = -5.743 m y = 12.548 m Vx = 37.189 Vy= 57.918 m/s m/s

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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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

A semi-infinite body is constructed from a uniform flow with velocity $ V_{\infty} $ and a source with strength $ \Lambda = 879 \, \text{m}^2/\text{s} $ at the origin. The stagnation point on the body is located at the coordinates $(r, \theta) = (13.8 \, \text{m}, \pi)$. Determine the uniform flow velocity $ V_{\infty} $, the coordinates $ (x, y) $, and the velocity components $ (V_x, V_y) $ at a point on the surface of the body with $ \theta = 2 \, \text{rad} $. Give your answers to three decimal places.

Incorrect Answers:

- $ V_{\infty} = 63.696 \, \text{m/s} $
- $ x = -5.743 \, \text{m} $
- $ y = 12.548 \, \text{m} $
- $ V_x = 37.189 \, \text{m/s} $
- $ V_y = 57.918 \, \text{m/s} $

Solution:

- $ V_{\infty} = 10.137 \, \text{m/s} $
- $ x = -7.21 \, \text{m} $
- $ y = 15.754 \, \text{m} $
- $ V_x = 6.777 \, \text{m/s} $
- $ V_y = 7.342 \, \text{m/s} $

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