IndexIntroductionResults and DiscussionConclusionModeling of a cylinder in water flow was performed using dimensional analysis methods. Looking at the velocity profile of the air in a wind tunnel allowed us to find its drag force and drag coefficient. We measured the voltage change with an anemometer inserted into the control volume to measure the airflow around a cylinder. The cylinder was inserted into the wind tunnel at a certain length which allowed us to calculate the velocity profile, drag force per unit length and drag coefficient. At a Reynolds number of 8560, our average drag force per unit length was 0.512 lb/ft, with a drag coefficient of 0.71. Since dimensional analysis was used to relate the two air and water models, the Reynolds numbers were very close for both situations, which also meant a very similar drag coefficient in both cases. Therefore, the water drag force per unit length was calculated to be 7.96 lb/ft, with an uncertainty of 0.1835 lb/ft. When we compare drag coefficient values ​​around a cylinder as 1.0, we get an error of 29.0%. Say no to plagiarism. Get a tailor-made essay on "Why Violent Video Games Shouldn't Be Banned"? Get an original essay IntroductionDuring this lab, the dynamics of air flow with a cylinder in the control volume were monitored to model similar effects of water flow. With assumptions of zero cavitation as water flows around the rod and an identical Reynold's number shared between each model, the velocity profile experienced in the wind tunnel can show the same results as if water were flowing. Dimensional analysis allows us to relate the variables in each model and obtain this common Reynolds number. The experimental setup conducted can be described as follows. A rod (cylinder) with an outside diameter of 0.5" was installed in a 6"x6" wind tunnel. The wind tunnel was equipped with an integrated hot-wire anemometer and pressure transducer capable of measure the relevant airflow velocities at different points around the cylinder. Also using a pilot-static probe, it was possible to acquire very accurate velocity profiles around the cylinder. Figure 1 is a schematic of the experimental setup of the experimental setup was conducted by performing a linear curve fit of the calibration data. Two data sets were collected with a wind speed of 30 ft/s. One without a cylinder in place and another with a cylinder of 5. 5" long. For all tests, the position of the anemometer was adjusted using a micrometer in 0.2" increments between 2.0" and -2.0" relative to the center of the tunnel to map the velocity profiles. The Reynolds number can be calculated using equation 1. where ρ is the density of the fluid, V is the free flow velocity, D is the diameter of the cylinder, µ is the dynamic viscosity, and ν is the kinematic viscosity of the fluid momentum obtained from the free flow velocity profile can help us calculate the drag force on the cylinder (Equation 2) inside the wind tunnel. Furthermore, using Equation 3 we can calculate the drag coefficient the flow flows in one direction and can only be related in the x and y coordinate system. As seen in Figure 2, it refers to the inlet velocity of the constant flow while it refers to the velocity at different positions inside.