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# lec3 - Agenda Basic Terminology • Steady • Next few...

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Unformatted text preview: Agenda Basic Terminology • Steady: • Next few classes review of undergrad fluids – Integral or control volume approach – chapter 4 in Fox and McDonald • Incompressible: • Perfect fluid: • Today’s lecture – Reynolds Transport Theorem – Integral approaches to governing equations • Uniform flow: • Conservation of Mass • System: • Control Volume: 8/30/2011 ME509: Fluid Mechanics 1 8/30/2011 ME509: Fluid Mechanics 2 Basic Conservation Laws for a System • Conservation of Mass Relation Between System and Control Volume • In fluids we typically look at a fixed volume of space (control volume) and explore what happens to the fluid in it • Conservation of Linear Momentum • Angular Momentum Principle • Conservation of Energy 8/30/2011 ME509: Fluid Mechanics 3 8/30/2011 ME509: Fluid Mechanics 4 Reynolds Transport Theorem Reynolds Transport Theorem, cont’d • The Reynolds Transport Theorem is a tool for converting the time rate of change for a transportable property in a system (Lagrangian) to the time rate of change for a coincident control volume (Eulerian). 8/30/2011 ME509: Fluid Mechanics 5 8/30/2011 ME509: Fluid Mechanics 6 COM Problem 1 Conservation of Mass—Continuity • Mass is neither created nor destroyed • Special cases: – Incompressible flow: – Steady flow: 8/30/2011 ME509: Fluid Mechanics 7 8/30/2011 ME509: Fluid Mechanics 8 ...
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lec3 - Agenda Basic Terminology • Steady • Next few...

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