(a) Derive Eq. 2 starting from Eq. 1; (b) use Thwaite's method and Eq. 2 to calculate the wall shear stress Tw, the displacement thickness ở* and momentum thickness 0 in the vicinity of the stagnation point. Hint: use arman Eq. 7.51 in the textbook to obtain 8*.

Elements Of Electromagnetics
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Problem 3
Air at T = 25 C° and p = 1 atm flows normal to a circular cylinder with D = 1 cm at velocity
U = 10 m/s. According to the inviscid theory, the external velocity on the surface of the cylinder
profile is given by Eq. 8.39 in the textbook with K = 0,
və(8) = -2U sin ở → u,(r.) = 2U sin (2
where u,(r,) is the same velocity as va(8) but expressed in curvilinear coordinates originating
at the stagnation point (r, = 0 or v = n) as shown in the figure below. In the vicinity of the
(1)
Transcribed Image Text:Problem 3 Air at T = 25 C° and p = 1 atm flows normal to a circular cylinder with D = 1 cm at velocity U = 10 m/s. According to the inviscid theory, the external velocity on the surface of the cylinder profile is given by Eq. 8.39 in the textbook with K = 0, və(8) = -2U sin ở → u,(r.) = 2U sin (2 where u,(r,) is the same velocity as va(8) but expressed in curvilinear coordinates originating at the stagnation point (r, = 0 or v = n) as shown in the figure below. In the vicinity of the (1)
(a) Derive Eq. 2 starting from Eq. 1; (b) use Thwaite's method and Eq. 2 to calculate the wall
shear stress Tw, the displacement thickness ở* and momentum thickness 0 in the vicinity of the
stagnation point. Hint: use arman Eq. 7.51 in the textbook to obtain 8*.
Transcribed Image Text:(a) Derive Eq. 2 starting from Eq. 1; (b) use Thwaite's method and Eq. 2 to calculate the wall shear stress Tw, the displacement thickness ở* and momentum thickness 0 in the vicinity of the stagnation point. Hint: use arman Eq. 7.51 in the textbook to obtain 8*.
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