By Josep M. Bergada, Sushil Kumar
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Extra resources for Fluid Power, Mathematical Design of Several Components
The momentum associated to this particle, M XYZ is to be defined as the product of its elemental mass by its velocity. 4. 44 Josep M. 69) where represents the generic angular velocity associated to the non inertial coordinate system. 74) is the momentum equation to be used when a non inertial coordinate system is to be considered. Notice that the terms. Main Fluid Mechanics Equations 45 d2R represents the linear acceleration of the non inertial coordinate system is having dt 2 versus an inertial coordinate system.
Such theorem provides a way to identify a finite system and evaluates the velocity of change of any fluid property or characteristic in this system, flow is examined via using a control volume. In what follows the concept of control system and control volume is defined. A control system it is defined as a given fluid mass of fixed identity and identified by its spatial position. The fluid mass can be finite or elemental. A control volume is stated as a finite region with open boundaries through which mass flow, momentum flow and energy flow can be defined.
Steaklines are the locus of points of all fluid particles that have passed continuously through a particular spatial point in the past. The dye steadily injected into the fluid at a fixed point, extends along a streakline. Pathlines are described as the trajectories followed by individual fluid particles. It can be seen as the time recording of the path of a fluid element. Each of these three lines is characterized by a differential equation; its form will depend on the coordinate system used. It is also interesting to point out that these three lines fall into a single one for a time independent fluid flow.