Here D△ L(F/L (FL T)L7)2 FLTO pVD. (FL T(LT )L F 0r00 The results will be independent of the system of units This type of analysis is called -o---dimensional analysis Heat Transfer Su Yongkang School of Mechanical Engineering
Heat Transfer Su Yongkang School of Mechanical Engineering # 6 Here, The results will be independent of the system of units. This type of analysis is called -----dimensional analysis. 0 0 0 2 4 2 1 0 0 0 4 2 1 2 3 2 ( ) ( )( ) ( )( ) ( / ) F L T FL T VD FL T LT L F L T FL T LT L F L V D pl = = = = − − − − −
4)Buckingham Pi theorem If an equation involving k variables is dimensionally homogeneous it can be reduced to a relationship among k-r independent dimensionless products, where r is the minimum number of reference dimensions required to describe the variables Heat Transfer Su Yongkang School of Mechanical Engineering
Heat Transfer Su Yongkang School of Mechanical Engineering # 7 4) Buckingham Pi theorem If an equation involving k variables is dimensionally homogeneous, it can be reduced to a relationship among k-r independent dimensionless products, where r is the minimum number of reference dimensions required to describe the variables