Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
The subsonic compressible flow over a cosine-shaped (wavy) wall is illustrated in Fig- ure 2.17. The wavelength and amplitude of the wall are I and h, respectively, as shown in Figure 2.17. The streamlines exhibit the same qualitative shape as the wall, but with diminishing amplitude as distance above the wall increases. Finally, as y → 0, the Streamline at V , M. 2h Figure 2.17 Subsonic compressible flow over a wavy wall; the streamline pattern. streamline becomes straight. Along this straight streamline, the freestream velocity and Mach number are Vo and Mo, respectively. The velocity field in cartesian coordinates is given by h 2n u = Voo 1+ 2лх -2т Ву/е cos (2.35) ве v =-Voh 2л sin and e-27By/e (2.36) B = VT- M where Consider the particular flow that exists for the case where l = 1.0 m, h = 0.01 m, V = 240 m/s, and Mo = 0.7. Also, consider a fluid element of fixed mass moving along a streamline in the flow field. The fluid element passes through the point (x/E, y/€) = (4, 1). At this point, calculate the time rate of change of the volume of the fluid element, per unit volume.

The subsonic compressible flow over a cosine-shaped (wavy) wall is illustrated in Fig- ure 2.17. The wavelength and amplitude of the wall are I and h, respectively, as shown in Figure 2.17. The streamlines exhibit the same qualitative shape as the wall, but with diminishing amplitude as distance above the wall increases. Finally, as y → 0, the Streamline at V , M. 2h Figure 2.17 Subsonic compressible flow over a wavy wall; the streamline pattern. streamline becomes straight. Along this straight streamline, the freestream velocity and Mach number are Vo and Mo, respectively. The velocity field in cartesian coordinates is given by h 2n u = Voo 1+ 2лх -2т Ву/е cos (2.35) ве v =-Voh 2л sin and e-27By/e (2.36) B = VT- M where Consider the particular flow that exists for the case where l = 1.0 m, h = 0.01 m, V = 240 m/s, and Mo = 0.7. Also, consider a fluid element of fixed mass moving along a streamline in the flow field. The fluid element passes through the point (x/E, y/€) = (4, 1). At this point, calculate the time rate of change of the volume of the fluid element, per unit volume.

Elements Of Electromagnetics
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
icon
Related questions
Question

Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2(2116 lb/ft2), respectively.

Prove that the flow field specified is not incompressible;
i.e., it is a compressible flow as stated without proof .

The subsonic compressible flow over a cosine-shaped (wavy) wall is illustrated in Fig- ure 2.17. The wavelength and amplitude of the wall are I and h, respectively, as shown in Figure 2.17. The streamlines exhibit the same qualitative shape as the wall, but with diminishing amplitude as distance above the wall increases. Finally, as y → 0, the Streamline at V , M. 2h Figure 2.17 Subsonic compressible flow over a wavy wall; the streamline pattern.
Transcribed Image Text:The subsonic compressible flow over a cosine-shaped (wavy) wall is illustrated in Fig- ure 2.17. The wavelength and amplitude of the wall are I and h, respectively, as shown in Figure 2.17. The streamlines exhibit the same qualitative shape as the wall, but with diminishing amplitude as distance above the wall increases. Finally, as y → 0, the Streamline at V , M. 2h Figure 2.17 Subsonic compressible flow over a wavy wall; the streamline pattern.
streamline becomes straight. Along this straight streamline, the freestream velocity and Mach number are Vo and Mo, respectively. The velocity field in cartesian coordinates is given by h 2n u = Voo 1+ 2лх -2т Ву/е cos (2.35) ве v =-Voh 2л sin and e-27By/e (2.36) B = VT- M where Consider the particular flow that exists for the case where l = 1.0 m, h = 0.01 m, V = 240 m/s, and Mo = 0.7. Also, consider a fluid element of fixed mass moving along a streamline in the flow field. The fluid element passes through the point (x/E, y/€) = (4, 1). At this point, calculate the time rate of change of the volume of the fluid element, per unit volume.
Transcribed Image Text:streamline becomes straight. Along this straight streamline, the freestream velocity and Mach number are Vo and Mo, respectively. The velocity field in cartesian coordinates is given by h 2n u = Voo 1+ 2лх -2т Ву/е cos (2.35) ве v =-Voh 2л sin and e-27By/e (2.36) B = VT- M where Consider the particular flow that exists for the case where l = 1.0 m, h = 0.01 m, V = 240 m/s, and Mo = 0.7. Also, consider a fluid element of fixed mass moving along a streamline in the flow field. The fluid element passes through the point (x/E, y/€) = (4, 1). At this point, calculate the time rate of change of the volume of the fluid element, per unit volume.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS