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Weber number (We) represents the ratio of disruptive hydrodynamics forces to the stabilizing surface tension force. It is an important dimensionless parameter applied during the analysis of thin film flows, which examines the ratio between inertia force and surface tension force acting on a fluid element. Using The Buckingham Pi Theorem, generate the formula for We. We is a function of fluid density (ρ), fluid velocity (v), characteristic length (l) and surface tension (σs), which can be mathematically written as: ?? = ?(?,?,?,??) b)Froude number (Fr) is an important dimensionless parameter used in open channel flow. Give the physical and mathematical definition of Fr. Prove that Fr is dimensionless.

Weber number (We) represents the ratio of disruptive hydrodynamics forces to the stabilizing surface tension force. It is an important dimensionless parameter applied during the analysis of thin film flows, which examines the ratio between inertia force and surface tension force acting on a fluid element. Using The Buckingham Pi Theorem, generate the formula for We. We is a function of fluid density (ρ), fluid velocity (v), characteristic length (l) and surface tension (σs), which can be mathematically written as: ?? = ?(?,?,?,??) b)Froude number (Fr) is an important dimensionless parameter used in open channel flow. Give the physical and mathematical definition of Fr. Prove that Fr is dimensionless.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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a)Weber number (We) represents the ratio of disruptive hydrodynamics forces to the stabilizing surface tension force. It is an important dimensionless parameter applied during the analysis of thin film flows, which examines the ratio between inertia force and surface tension force acting on a fluid element. Using The Buckingham Pi Theorem, generate the formula for We. We is a function of fluid density (ρ), fluid velocity (v), characteristic length (l) and surface tension (σs), which can be mathematically written as: ?? = ?(?,?,?,??) b)Froude number (Fr) is an important dimensionless parameter used in open channel flow. Give the physical and mathematical definition of Fr. Prove that Fr is dimensionless.
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