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Unformatted text preview: Reviews for Exam2 Fall 2010 Chapter 5 Mass, Momentum, and Energy Equations 1. Reynolds Transport Theorem (RTT) = V time rate of change of in + net outlux of from across where, = , = , = fluid velocity, = velocity, and = where is outward normal vector, = ( inlet, + outlet) For a fixed control volume, = ( = ): Parameter RTT Equation Mass 1 = V + Momentum = V + Energy = V + 2. Conservation of Mass The Continuity Equation = V + = 0 Special cases: 1) Steady flow: = 0 2) Incompressible fluid ( =constant): = V 3) = constant over discrete : = 4) Steady onedimensional flow in a conduit: = 0 1 1 1 = 2 2 2 if = constant, 1 1 = 2 2 or 1 = 2 Some useful definitions: Mass flux (mass flow rate) = (if = constant , = ) Volume flux (flow rate) = (if = constant, = ) Average velocity = / Reviews for Exam2 Fall 2010 3. Newtons Second Law  Momentum Equation = V + = = where = + = vector sum of all external forces acting on including body forces (ex: gravity force) and surface forces (ex: pressure force, and shear forces, etc.) Special cases: 1) Steady flow: V = 0 2) Uniform flow across : = Examples: Flow type Continuity Eq. or Bernoulli Eq. Deflecting vane = = xcomponent: 1 ( 1 1 ) + ( 2 cos )( 2 2 ) ycomponent: ( 2 sin )( 2 2 ) 1 1 = 2 2 = Nozzle = + 1 1 2 2 =...
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This note was uploaded on 12/08/2011 for the course MECHANICS 57:020 taught by Professor Fredrickstern during the Fall '10 term at University of Iowa.
 Fall '10
 FredrickStern
 Energy, Mass, Momentum

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