Question

When a uniform stream flows past an immersed thick cylinder, a broad low-velocity wake is created downstream, idealized as a $V$ shape in Fig. $P 3.44 .$ Pressures $p_{1}$ and $p_{2}$ are approximately equal. If the flow is two-dimensional and incompressible, with width $b$ into the paper, derive a formula for the drag force $F$ on the cylinder. Rewrite your result in the form of a dimensionless drag coefficient based on body length $C_{D}=F /\left(\rho \mathrm{U}^{2} b L\right)$.

          When a uniform stream flows past an immersed thick cylinder, a broad low-velocity wake is created downstream, idealized as a $V$ shape in Fig. $P 3.44 .$ Pressures $p_{1}$ and $p_{2}$ are approximately equal. If the flow is two-dimensional and incompressible, with width $b$ into the paper, derive a formula for the drag force $F$ on the cylinder. Rewrite your result in the form of a dimensionless drag coefficient based on body length $C_{D}=F /\left(\rho \mathrm{U}^{2} b L\right)$.

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Added by Barbara M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Penny Riley

08/31/2022

Step 1

Step 1: Apply the steady flow continuity equation between the entrance and exit of the flow: \[0 = 2 \rho U \frac{dA}{dx} - \int_{0}^{L} \rho U \frac{dA}{dy} dy\] Show more…

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When a uniform stream flows past an immersed thick cylinder, a broad low-velocity wake is created downstream, idealized as a $V$ shape in Fig. $P 3.44 .$ Pressures $p_{1}$ and $p_{2}$ are approximately equal. If the flow is two-dimensional and incompressible, with width $b$ into the paper, derive a formula for the drag force $F$ on the cylinder. Rewrite your result in the form of a dimensionless drag coefficient based on body length $C_{D}=F /\left(\rho \mathrm{U}^{2} b L\right)$.

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