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chap4_9_18 - AAE 439 4.1 LAWS OF MECHANICS Review Ch4 9 AAE...

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Ch4 – 9 AAE 439 4.1 LAWS OF MECHANICS - Review
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Ch4 – 10 AAE 439 SYSTEM System: Moving Fluid Definitions: “System” is defined as an arbitrary quantity of mass of fixed identity. “Surrounding is everything external to this system. “Boundary” separates surroundings from system. Case: Control Volume is at rest. Control Volume is moving with a velocity. All Laws of Mechanics are written for a system stating what happens when there is an interaction between the system and its surroundings. Conservation of Mass Linear (Angular) Momentum Energy Equation F = m a = d dt m v ( ) m sys = const . dm dt sys = 0 dE dt = dQ dt dW dt CV
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Ch4 – 11 AAE 439 CONTROL VOLUME Conservation of Mass: Rate of change of mass within control volume is equal to net rate of inflow of mass. Continuity Equation: Special Case Flow within control volume is steady: d dt m CV = m in m out Control Volume Streamlines dA v n dV Control Surface d dt ρ dV CV + ρ ( v n ) dA CS = 0 = dm dt system Rate of Change of Mass WITHIN the CV
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