10 m 1 m 1 m/s I Figure 2 Electricity transmission tower Consider 2D, incompressible, steady flow in a vertical channel at a Reynolds number of 100. This channel flow is shown schematically in the figure below. The figure is not drawn to scale. NEGLECT GRAVITY for the sake of simplicity. Channel length 1 and width w are 10 m and 1 m, respectively, as shown in the figure. Assume thickness= 1 m in the z-direction. The velocity is constant at the inlet, in the y-direction and equal to 1 m/s. The Reynolds number is defined as Re pvw fl where v is the average velocity at any cross-section. Take p = 1 kg/m3 and adjust u to get the desired Reynolds number. The absolute pressure at the outlet is 1 atm. Note that the cross-section is a square of 1m by 1m. Contrast this to the laminar pipe flow considered earlier where the cross-section was circular. When the cross-section is square or rectangular, this type of a flow is referred to as a channel flow. When the cross-section is circular, the corresponding terminology is pipe or tube flow. Taske #1 You need to solve the 2D form of the governing equations using ANSYS Fluent to obtain the velocity and pressure distribution in the xy plane. Since we are assuming the flow is 2D, the mathematical model to be solved is 2D and there is no variation of velocity and pressure in the z-direction. In ANSYS Fluent, model only the right half of the 2D domain using symmetry. You need to follow a similar workflow to the laminar pipe flow module. Taske #2 Now, you need to iterate the solution with different meshing each time. • Suggest three different meshes. • Discuss the results. Make a verification.

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
icon
Related questions
Question
10 m
1 m
1 m/s
Figure 2 Electricity transmission tower
Consider 2D, incompressible, steady flow in a vertical channel at a Reynolds number of 100. This channel flow is
shown schematically in the figure below. The figure is not drawn to scale. NEGLECT GRAVITY for the sake of
simplicity. Channel length 1 and width w are 10 m and 1 m, respectively, as shown in the figure. Assume thickness=
1 m in the z-direction. The velocity is constant at the inlet, in the y-direction and equal to 1 m/s. The Reynolds
number is defined as
Re
.
pvw
fl
where v is the average velocity at any cross-section. Take p = 1 kg/m3 and adjust μ to get the desired Reynolds
number. The absolute pressure at the outlet is 1 atm. Note that the cross-section is a square of 1m by 1m. Contrast
this to the laminar pipe flow considered earlier where the cross-section was circular. When the cross-section is
square or rectangular, this type of a flow is referred to as a channel flow. When the cross-section is circular, the
corresponding terminology is pipe or tube flow.
[aske #1
You need to solve the 2D form of the governing equations using ANSYS Fluent to obtain the velocity and pressure
distribution in the xy plane. Since we are assuming the flow is 2D, the mathematical model to be solved is 2D and
there is no variation of velocity and pressure in the z-direction. In ANSYS Fluent, model only the right half of the
2D domain using symmetry. You need to follow a similar workflow to the laminar pipe flow module.
Taske #2
Now, you need to iterate the solution with different meshing each time.
Suggest three different meshes.
Discuss the results.
Make a verification.
Transcribed Image Text:10 m 1 m 1 m/s Figure 2 Electricity transmission tower Consider 2D, incompressible, steady flow in a vertical channel at a Reynolds number of 100. This channel flow is shown schematically in the figure below. The figure is not drawn to scale. NEGLECT GRAVITY for the sake of simplicity. Channel length 1 and width w are 10 m and 1 m, respectively, as shown in the figure. Assume thickness= 1 m in the z-direction. The velocity is constant at the inlet, in the y-direction and equal to 1 m/s. The Reynolds number is defined as Re . pvw fl where v is the average velocity at any cross-section. Take p = 1 kg/m3 and adjust μ to get the desired Reynolds number. The absolute pressure at the outlet is 1 atm. Note that the cross-section is a square of 1m by 1m. Contrast this to the laminar pipe flow considered earlier where the cross-section was circular. When the cross-section is square or rectangular, this type of a flow is referred to as a channel flow. When the cross-section is circular, the corresponding terminology is pipe or tube flow. [aske #1 You need to solve the 2D form of the governing equations using ANSYS Fluent to obtain the velocity and pressure distribution in the xy plane. Since we are assuming the flow is 2D, the mathematical model to be solved is 2D and there is no variation of velocity and pressure in the z-direction. In ANSYS Fluent, model only the right half of the 2D domain using symmetry. You need to follow a similar workflow to the laminar pipe flow module. Taske #2 Now, you need to iterate the solution with different meshing each time. Suggest three different meshes. Discuss the results. Make a verification.
Expert Solution
steps

Step by step

Solved in 8 steps with 13 images

Blurred answer
Knowledge Booster
Compressible Flow
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY