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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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* Check that your calculation of Re is reliable.
The drag forces on objects of different size but similar shape have been measured in a moving fluid. The drag force () is thought to be
a function of the fluid density p the fluid viscosity μ, the fluid velocity V, and the object size d.
Data in the table below have been obtained for the following fluid properties: p = 1.2 kg/m³; μ = 2.0 x 10-5 (N s)/m²; and V =
2.3 m/s.
D (N)
d (m)
0.00055 0.01
0.00186 0.02
0.00361 0.03
0.00563 0.04
Determine the drag force for an 0.0173 m object with similar shape in a fluid with the following properties: p = 885 kg/m³; μ =
1.2 x 10-³ (N s)/m²; and V = 0.3m/s.
D =
0.0275
Transcribed Image Text:* Check that your calculation of Re is reliable. The drag forces on objects of different size but similar shape have been measured in a moving fluid. The drag force () is thought to be a function of the fluid density p the fluid viscosity μ, the fluid velocity V, and the object size d. Data in the table below have been obtained for the following fluid properties: p = 1.2 kg/m³; μ = 2.0 x 10-5 (N s)/m²; and V = 2.3 m/s. D (N) d (m) 0.00055 0.01 0.00186 0.02 0.00361 0.03 0.00563 0.04 Determine the drag force for an 0.0173 m object with similar shape in a fluid with the following properties: p = 885 kg/m³; μ = 1.2 x 10-³ (N s)/m²; and V = 0.3m/s. D = 0.0275
* Check that your calculation of Re is reliable.
The drag forces on objects of different size but similar shape have been measured in a moving fluid. The drag force () is thought to be
a function of the fluid density p the fluid viscosity μ, the fluid velocity V, and the object size d.
Data in the table below have been obtained for the following fluid properties: p = 1.2 kg/m³; μ = 2.0 x 10-5 (N s)/m²; and V =
2.3 m/s.
(N)
d (m)
0.00055 0.01
0.00186 0.02
0.00361 0.03
0.00563 0.04
Determine the drag force for an 0.0173 m object with similar shape in a fluid with the following properties: p = 885 kg/m³; µ =
1.2 x 10-3 (N s)/m²; and V = 0.3m/s.
D = i 0.0161
Transcribed Image Text:* Check that your calculation of Re is reliable. The drag forces on objects of different size but similar shape have been measured in a moving fluid. The drag force () is thought to be a function of the fluid density p the fluid viscosity μ, the fluid velocity V, and the object size d. Data in the table below have been obtained for the following fluid properties: p = 1.2 kg/m³; μ = 2.0 x 10-5 (N s)/m²; and V = 2.3 m/s. (N) d (m) 0.00055 0.01 0.00186 0.02 0.00361 0.03 0.00563 0.04 Determine the drag force for an 0.0173 m object with similar shape in a fluid with the following properties: p = 885 kg/m³; µ = 1.2 x 10-3 (N s)/m²; and V = 0.3m/s. D = i 0.0161
Expert Solution
Step 1: Given

The drag force can be calculated using the following formula:

D equals 0.5 cross times C d cross times rho cross times A cross times V squared

Where:

  • D is the drag force.
  • Cd is the drag coefficient.
  • ρ is the fluid density.
  • A is the reference area.
  • V is the fluid velocity.

The Reynolds number (Re) is given by:

R e space equals space fraction numerator left parenthesis space rho cross times space V space minus space d right parenthesis over denominator mu end fraction

Where:

  • Re is the Reynolds number.
  • ρ is the fluid density.
  • V is the fluid velocity.
  • d is the characteristic length.
  • μ is the fluid viscosity.                                                                                    

    For the original fluid with properties:

    • rho space equals space 1.2 space k g divided by m cubed
    • mu equals 2.0 x 10 to the power of negative 5 end exponent left parenthesis N s right parenthesis divided by m squared
    • V = 2.3 m/s
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