Question

Air (assume steady, incompressible, and inviscid) flows through the tunnel as indicated where the velocity at section 1 is 15 m/s. The streamlines at section 1 are straight. A water manometer is attached to the tunnel via a wall pressure tap. Consider the tunnel to be 2D, and the diameter of the cylinder is 0.5 m. Ignore any hydrostatic (elevation) changes in the air. Calculate the gauge pressures: (a) [7.5 pts] at the stagnation point on the cylinder, and (b) [7.5 pts] at the point indicated on the streamline at section 2, the same cross section as the center of the cylinder. 1 $V_1 = 15 m/s$ 2 d $\rho_a = 1.20 \frac{kg}{m^3}$ $P_{atm}$ $h = 10 cm$ $\rho_w = 998 \frac{kg}{m^3}$ 3d

          Air (assume steady, incompressible, and inviscid) flows through the tunnel as indicated where the velocity at section 1 is 15 m/s. The streamlines at section 1 are straight. A water manometer is attached to the tunnel via a wall pressure tap. Consider the tunnel to be 2D, and the diameter of the cylinder is 0.5 m. Ignore any hydrostatic (elevation) changes in the air. Calculate the gauge pressures:
(a) [7.5 pts] at the stagnation point on the cylinder, and
(b) [7.5 pts] at the point indicated on the streamline at section 2, the same cross section as the center of the cylinder.
1
$V_1 = 15 m/s$
2
d
$\rho_a = 1.20 \frac{kg}{m^3}$
$P_{atm}$
$h = 10 cm$
$\rho_w = 998 \frac{kg}{m^3}$
3d

Air (assume steady, incompressible, and inviscid) flows through the tunnel as indicated where the velocity at section 1 is 15 m/s. The streamlines at section 1 are straight. A water manometer is attached to the tunnel via a wall pressure tap. Consider the tunnel to be 2D, and the diameter of the cylinder is 0.5 m. Ignore any hydrostatic (elevation) changes in the air. Calculate the gauge pressures:
(a) [7.5 pts] at the stagnation point on the cylinder, and
(b) [7.5 pts] at the point indicated on the streamline at section 2, the same cross section as the center of the cylinder.
1
V1 = 15 m/s
2
d
= 1.20 (kg)/(m^3)
Patm
h = 10 cm
= 998 (kg)/(m^3)
3d

Added by Thomas G.

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