Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss, H7, and other variables in a horizontal pipe of circular cross-section, such as pressure...

Please try to solve in 30 minute

Extracted text: Dimensional analysis with Buckinham's Pi Theorem is applied to the relationship between frictional head loss, H7, and other variables in a horizontal pipe of circular cross-section, such as pressure drop diameter D, the density of the fluid p, viscosity u and the mean velocity of the fluid v. The dimension balance for these variables is [H;) = de What are algebraic equations for the powers of the dimensions [M], [L], [T]? (e.g., [M]: 3=a+2*b; Write only the bold part in the available sections.) [M] : [L]: [T] :