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.
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
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Solve the following points:
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
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