Consider the following coefficients: (Re = Reynolds number)1. 1.328 Re...
The coefficient of drag is a dimensionless quantity that represents the resistance of an object to the flow of fluid (usually air) over its surface. It is an important parameter in determining the aerodynamic performance of objects, such as airplanes, cars, and buildings.
In this question, we are given four coefficients of drag, each associated with a specific flow regime (laminar or turbulent) and Reynolds number. The Reynolds number (Re) is a dimensionless quantity that characterizes the flow regime of a fluid by comparing the inertial forces to the viscous forces. It is defined as the product of the fluid velocity, characteristic length, and fluid density divided by the fluid viscosity.
Let's analyze each coefficient of drag and determine which ones are applicable for a flat plate:
1. 1.328 Re^(0.5) for laminar flow: This coefficient of drag is valid for laminar flow. In laminar flow, the fluid moves in smooth layers with little or no mixing. This coefficient of drag is applicable for a flat plate in the laminar flow regime.
2. 2.072 Re^(0.2) for turbulent flow: This coefficient of drag is valid for turbulent flow. In turbulent flow, the fluid moves in an irregular and chaotic manner with high levels of mixing. This coefficient of drag is applicable for a flat plate in the turbulent flow regime.
3. 0.072 Re^(0.2) for turbulent flow: This coefficient of drag is also valid for turbulent flow. It is different from the previous coefficient of drag, indicating that different factors may affect the drag in turbulent flow. This coefficient of drag is applicable for a flat plate in the turbulent flow regime.
4. 1.028 Re^(0.5) for laminar flow: This coefficient of drag is similar to the first coefficient of drag, indicating that it is also valid for laminar flow. This coefficient of drag is applicable for a flat plate in the laminar flow regime.
From the above analysis, we can conclude that the coefficients of drag that are applicable for a flat plate are:
- 1.328 Re^(0.5) for laminar flow
- 0.072 Re^(0.2) for turbulent flow
Therefore, the correct answer is option 'C', which includes coefficients 1 and 3.
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