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Essay / Momentum Deficit Lab Report
Table of ContentsIntroductionResults and DiscussionConclusionModeling a cylinder in a water flow was carried out using dimensional analysis methods. Examining the air velocity profile in a wind tunnel allowed us to determine its drag force and drag coefficient. We measured the voltage change with an anemometer inserted into the control volume to measure airflow around a cylinder. The cylinder was placed in the wind tunnel at a certain length, which allowed us to calculate the velocity profile, drag force per unit length, and drag coefficient. With a Reynolds number of 8,560, our average drag force per unit length was found to be 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 Reynold number was 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 the drag coefficient values around a cylinder to 1.0, we get an error of 29.0%. Say no to plagiarism. Get a tailor-made essay on “Why Violent Video Games Should Not Be Banned”? Get the original essayIntroductionDuring this workshop, airflow dynamics with a cylinder in the control volume were monitored to model similar effects of water flow. With the assumption of zero cavitation as water flows around the rod and an identical Reynold number shared between each model, the velocity profile experienced in the wind tunnel can show the same results as if water was flowing. Dimensional analysis allows us to relate the variables of each model and obtain this common Reynold number. The experimental setup carried out can be described as follows. A 0.5" OD rod (cylinder) was installed in a 6" x 6" wind tunnel. The wind tunnel was equipped with a built-in hot wire anemometer and pressure transducer that could measure velocities relevant air flow at different points around the cylinder. Also using a pilot-static probe, very precise velocity profiles could be obtained around the cylinder. Figure 1 is a diagram of the experimental configuration L. Calibration of the experimental device was carried out by performing a linear curve fit of the calibration data Two sets of data with a wind speed of 30 ft/s were collected One without a cylinder in place and another with a cylinder. 5.5" in length. 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 profiles The Reynolds number can be calculated using equation 1. where ρ is the fluid density, V is the free stream velocity, D is the cylinder diameter, µ is the dynamic viscosity, and ν. is the kinematic viscosity of the fluid. The momentum deficit obtained from the free flow velocity profile can help us calculate the drag force on the cylinder (equation 2) inside the wind tunnel. , using equation 3, we can calculate the drag coefficient. We can assume that the flow flows in only one direction and can only be related in the x and y coordinate system. , refers to the inlet velocity of the constant flow and refers to the velocity at different positions within the wake created from the cylinder. Acting at..