2 - Eqns.

# 2 - Eqns. - MEM420 Aerodynamics(fundamental equations...

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MEM420 Aerodynamics (fundamental equations; chap.2) Dr. A. Yousuff MEM/Drexel

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3 Fundamental Principles yousuff Aerodynamics 2 Continuity : Conservation of mass Momentum Newton’s 2 nd Law Energy: Conservation of energy
Continuity equation yousuff Aerodynamics 3 Physical principle: mass can be neither created nor destroyed Net mass flow through S = rate of change of mass inside V Consider the fixed control volume: dS : elemental surface area d S : elemental surface area = n dS, d V : elemental volume V : velocity vector

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Continuity Eqn: integral form yousuff 4 Mass flow out through elemental surface: Mass flow out through the entire surface: Total mass inside the volume: Rate of change of mass: Continuity Eqn:
2.2 Review of vector relations yousuff Aerodynamics 5 Scalar field: ( , , , ) x y z x y z t V V V u v w V V i j k i j k ( , , , ) ( , , , ) ( , , , ) p p x y z t p r z t p r t   vector field: gradient: divergence: curl: yy xx zz VV y z z x x y   

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2 - Eqns. - MEM420 Aerodynamics(fundamental equations...

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