In a steady incompressible two-dimensional flow the velocity vector in m/s is given as: V = (6x-6y)i + (5x-6y) j. With the aid of sketches give a clear account of the distortion of a rectangular fluid element (Figure Q1-1). time to t ? Figure Q1-1 With clear explanation, determine whether this flow is irrotational.

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

Solve the following points:

/For Air assume: v = 1.46 x 10-5 m²/s, p=1.225 kg/m³, y = 1.4 and R = 287J/Kg K
a)
In a steady incompressible two-dimensional flow the velocity vector in m/s is given
as: V = (6x-6y)i + (5x-6y) J. With the aid of sketches give a clear account of
the distortion of a rectangular fluid element (Figure Q1-1).
Figure Q1-1
With clear explanation, determine whether this flow is irrotational.
b) Give a brief definition of the boundary layer shape factor including a clear
explanation of how the magnitude of the boundary layer shape factor is related to
the boundary layer profile. Air is moving along one side of a flat plate at a constant
speed of 40 m/s. The flat plate is 3 m long and its width is 1m. Measurement shows
the momentum thicknesses of the laminar boundary layer at x₁ = 1.0 m and x₂ = 4.0
m are about 0.401 and 0.802 mm respectively. Estimate the frictional drag acting
on the plate between x₁ and x2.
c) Two flat plates (A and B) are orientated to a uniform flow as indicated in Figure
Q1-2. If the boundary layer flow on these plates is laminar, determine the ratio of
the total friction drag for plate A to that for plate B (i.e. Drag Ratio Draga).
Draga
Explain your answer. The wall shear stress acting on the plates has been given as
Tw=Kx-0.5 where k is a known constant. Ignore any three dimensionality effects
in the flow.
B
?
10.0 m
10.0 m
Figure Q1-2
2.0 m
Transcribed Image Text:/For Air assume: v = 1.46 x 10-5 m²/s, p=1.225 kg/m³, y = 1.4 and R = 287J/Kg K a) In a steady incompressible two-dimensional flow the velocity vector in m/s is given as: V = (6x-6y)i + (5x-6y) J. With the aid of sketches give a clear account of the distortion of a rectangular fluid element (Figure Q1-1). Figure Q1-1 With clear explanation, determine whether this flow is irrotational. b) Give a brief definition of the boundary layer shape factor including a clear explanation of how the magnitude of the boundary layer shape factor is related to the boundary layer profile. Air is moving along one side of a flat plate at a constant speed of 40 m/s. The flat plate is 3 m long and its width is 1m. Measurement shows the momentum thicknesses of the laminar boundary layer at x₁ = 1.0 m and x₂ = 4.0 m are about 0.401 and 0.802 mm respectively. Estimate the frictional drag acting on the plate between x₁ and x2. c) Two flat plates (A and B) are orientated to a uniform flow as indicated in Figure Q1-2. If the boundary layer flow on these plates is laminar, determine the ratio of the total friction drag for plate A to that for plate B (i.e. Drag Ratio Draga). Draga Explain your answer. The wall shear stress acting on the plates has been given as Tw=Kx-0.5 where k is a known constant. Ignore any three dimensionality effects in the flow. B ? 10.0 m 10.0 m Figure Q1-2 2.0 m
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Fluid Kinematics
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
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