Chapter04 - Kinematics Kinematics deals with the way we...

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Kinematics Kinematics z Kinematics deals with the way we describe spatial coordinates and velocities z Fluid mechanics differs from classical physics Classical Physics: Lagrangian description Fluid Mechanics: Eulerian description z Will develop the Reynolds Transport Theorem Makes derivation of conservation principles simple Lays the foundation for the control-volume approach that we will use throughout this course
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Lagrangian Description Lagrangian Description - - 1 1 z In terms of rectangular Cartesian coordinates our notation is as follows z In classical physics we use the Lagrangian description and write z The position, r , of a fluid particle at time t is a function of t and its initial position r o
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Lagrangian Description Lagrangian Description - - 2 2 z The velocity is given by z Subscript r o means differentiate with r o held constant…corresponds to following the fluid particle as it moves z With a denoting acceleration and F denoting force, Newton’s second law of motion is
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