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Download Pharos University Fluid Mechanics For Electrical Students
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Pharos University ME 259 Fluid Mechanics Lecture # 5 Dr. A. Shibl Momentum Equation Basic Laws • Conservation of mass: dM/dt=0 for system ∂/∂t ∫ ϱ d𐐏 + ∫ ϱ ⊽. d Ᾱ =0 for control vol. • Newton’s 2nd law Σ F = ma Σ F = ∂/∂t ∫ ⊽ ϱ d𐐏 + ∫ ⊽ ϱ ⊽. d Ᾱ 13-May-17 2/27 Momentum Analysis of Flow Systems Newton’s Laws • Newton’s laws: – First law: a body at rest remains at rest, and a body in motion remains in motion at the same velocity in a straight path when the net force acting on it is zero. – Second law: the acceleration of a body is proportional to the net force acting on it and is inversely proportional to its mass. – Third law: when a body exerts a force on a second body, the second body exerts an equal and opposite force on the first. Choosing a Control Volume • Fixed, and moving. – For moving CV, use relative velocity, Body and Surface Forces Basic Laws for a System • Momentum Equation for Inertial Control Volume Momentum Equation for Inertial Control Volume • Basic Law, and Transport Theorem Linear Momentum Equation • Use RTT to shift from system formulation of the control volume formulation Momentum Equation for Inertial Control Volume Special Cases • Steady Flow • Average velocities Basic Laws for a System • The Angular-Momentum Principle The Angular-Momentum Principle • Basic Law, and Transport Theorem The Angular-Momentum Principle c04u013 c04u014 c04u015 c04u016 c04u017 c04u018 c04u019 c04u020 c04u021 c04u022 c04u023 c04u028 c04u029 c04u030 c04u031 c04u032