Aerospace Engineering > GATE 2014 > Wing Theory
Induced velocity w at a point z=z1 along the lifting line can be calculated using the formula
w(z1)=-(1/(4π))∫-ss(dΓ/dz)(1/(z-z1))dz.
Given Γ2/Γo2+z2/s2=1, wherez, Γo and sare given in figure below. For theabove semi-elliptic distribution of circulation, , the downwash velocity at any point , for symmetric flight can be obtained as, where
w(z1)=(Γo/(4πs))[π+z1I], I=z1∫-sS(dz/(√(s2-z2)(z-z1))).
Which of the following options is correct if the induced drag is Di (given ∫(1-z2/s2)dz=πs/2))
w(z1)=-(1/(4π))∫-ss(dΓ/dz)(1/(z-z1))dz.
Given Γ2/Γo2+z2/s2=1, wherez, Γo and sare given in figure below. For theabove semi-elliptic distribution of circulation, , the downwash velocity at any point , for symmetric flight can be obtained as, where
w(z1)=(Γo/(4πs))[π+z1I], I=z1∫-sS(dz/(√(s2-z2)(z-z1))).
Which of the following options is correct if the induced drag is Di (given ∫(1-z2/s2)dz=πs/2))
Correct : c
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