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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 2 nd law Σ F = ma Σ F = ∂/∂t ∫ ⊽ ϱ d𐐏 + ∫ ⊽ ϱ ⊽. d Ᾱ. - PowerPoint PPT Presentation
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Basic Laws • Conservation of mass: dM/dt=0
for system∂/∂t ∫ ϱ d 𐐏 + ∫ ϱ ⊽. d Ᾱ =0 for
control vol.
• Newton’s 2nd law Σ F = ma Σ F = ∂/∂t ∫ ⊽ ϱ d 𐐏 + ∫ ⊽ ϱ ⊽. d Ᾱ
Apr 19, 2023 2/27
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.
Linear Momentum Equation
• Use RTT to shift from system formulation of the control volume formulation