The velocity along the negative x-axis in the inviscid, incompressible flow fiel
ID: 1824228 • Letter: T
Question
The velocity along the negative x-axis in the inviscid, incompressible flow field exterior to the body shown in Fig. P3.60 is given by u(x) = U infinity + q/2 pi x. If the pressure at x = -infinity is zero, find an expression for the pressure neglecting gravity effects: Along the negative x-axis if U infinity = 10 m/s and q = 20 pi m2/s At the stagnation point if U infinity = 10 m/s and q = 20 pi m2/s Along the negative x-axis if U infinity = 30 ft/sec and q = 60 pi ft2/sec At the stagnation point if U infinity = 30 ft/sec and q = 60 pi ft2/sec Fig. P3.60Explanation / Answer
a)
p +U2 /2 = P1+u12/2
0+50 =p1+(10+10/x)2/2
p1 = 100- (10+10/x)2 ---------------ANSWER1
b) at stagnation point u = 0
p +U2 /2 = P2+u22/2
0+50 =p2 +0
p2 = 50 --------------------ANSWER 2
c)
p +U2 /2 = P3+u32/2
0+450 =p1+(30+30/x)2/2
p1 = 900- (30+30/x)2 ---------------ANSWER3
d)
at stagnation point u = 0
p +U2 /2 = P4+u42/2
0+450=p2 +0
p2 = 450 --------------------ANSWER 4
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