PPT-Similitude and Dimensional Analysis

CE30460 Fluid Mechanics Diogo Bolster Goals of Chapter Apply Pi Theorem Develop dimensionless variables for a given flow situation Use dimensional variables in data analysis Apply concepts of modeling and similitude. III. Unit Conversions . (p.39-41). SI Prefix Conversions. Dimensional Analysis. A. SI Prefix Conversions. 1. Find the difference between the exponents of the two prefixes.. 2. Move the decimal that many places.. Organized method of problem-solving . Used in chemistry, physics, engineering, and medicine. Communicates the path to scientists that follow your work. Records your own path for your future use. Dimensional Analysis. Dimensional Analysis. In Chemistry and every-day life you will often need to express a measurement using a different unit than the one that was initially used. . To convert between units we can use . Similitude Requirements National Aeronautics Research Center data for to define and provide similitude conditions met. The similitude Reynolds number and Froude the case steady-state (static) objecti 1 2 Fields of Application aerodynamicsnaval architectureflow machinery (pumps, turbines)hydraulic structuresrivers, estuariessediment transportTo solve practical problems, derive general relationships Three-dimensional fracture analysis in transversely isotropic solids Sfiez, M. P. Ariza & J. Dominguez* Superior de Ingenieros, Universidad de Sevilla, Av. Reina Mercedes s/n, 41012-Sevilla, Spain ( You and your friends want to have a movie marathon. All three movies last a total of 390 min. How many hours will it take to watch all three movies?. = 6.5. min. How do we get the unit to change to hours?. Systems of Units. Section 2.3. Physical Quantity. Unit. Abbreviation. Mass. Kilogram. Gram (CGS). kg. Length. Meter. Centimeter (CGS). m. Time. Second. s. Temperature. Kelvin. K. Amount of substance. SIMILITUDE ANALYSIS. 2. SCALE-MODEL TESTING & EXPLOITATION OF SYMMETRY. Cost of running full-scale, long-duration experiments is very high. Incentive to obtain required info using small-scale models and/ or short-duration (“accelerated”) tests. How can we convert units?. Measurements. Every measurement needs to have a value (. number. ) and a unit (. label. ).. Without units, we have no way of knowing what the actual measurement is. Sometimes the units that something is measured in, need to be converted into a comparable unit for a calculation. （复旦大学）. 一维黎曼问题研究的意义. 解的局部. 结构（具间断初值的柯西问题的入门）. 解的渐近性态. 构造整体解的基本元素. 对数值计算方法有效性的. ?. . . . The Crew and passengers on Air Canada Flight 143 Do!. . . Watch what happened!. Youtube-(46 minutes in total-1. st. 20 minutes will give the idea) . https://www.youtube.com/watch?v=8w5LqlTwbhs&feature=related. Dr. J. Badshah. University Professor – cum - Chief Scientist. Dairy Engineering Department. Sanjay Gandhi Institute of Dairy Science & Technology, Jagdeopath, Patna. (Bihar Animal Sciences University, Patna). A way of converting between units for problem solving. Remember all units have to be in meters, kilograms, and seconds. You can also use dimensional analysis as a way of checking your units to make sure your problem is correct.