MadSci Network: Physics |
Greetings: Your question is related to the science of Fluid Dynamics. Fluid Dynamics has two branches. The first branch addresses the flow of incompressible fluids such water and is called Hydrodynamics. The second branch addresses the flow of compressible fluids such as air and is called Aerodynamics. Aerodynamics has been one of the most difficult sciences to model mathematically and there is a long history of the experimental measurements of wind flow over hundreds of standard solid bodies such as cubes, cylinders, cones, spheres and the aerodynamic surfaces used to design aircraft. This is why wind tunnels and flight testing are still in use for the design of aircraft etc. Mathematical models based on experimental measurements are called empirical formulas and usually you must match your problem to one or more of the standard body empirical models. Today aerodynamic modeling of complex shaped bodies is usually conducted on super computers and hundreds of hours of running time are required to model each shape. NASA’s Aeronautics Learning Laboratory for Science Technology and Research (ALLSTAR) web site covers these concepts and adds much more detail. This site is enhanced with animated diagrams using software that you can quickly download on the web site. http://www.allstar.fiu.edu/ The ALLSTAR web site has three levels of complexity: Level 1 - Intended primarily for middle / junior high school students. Level 2 - Intended primarily for junior high / high school students. Level 3 - Intended primarily for high school / lower division university students. Engineers often use simple models of airflow on standard bodies to calculate the forces of wind on buildings, bridges, etc and often the principle of conservation of momentum is used. Typically a safety factor of 2 or 3 times will be added to the results of these calculations. There are examples of these types of calculations, which are similar to your questions, in the Mad Science archives at: hereand here Enjoy the ALLSTAR web site Your Mad Scientist Adrian Popa
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