MEM425F09_6.TakeffTurn

MEM425F09_6.TakeffTurn - Click to edit Master subtitle...

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Unformatted text preview: Click to edit Master subtitle style Yousuff MEM 425 Aircraft MEM 425: Aircraft Design & Performance ** Take-Off & Turn (chapter 6) Dr. Ajmal Yousuff Dept. MEM Drexel University Yousuff MEM 425 Aircraft Yousuff MEM 425 Aircraft 22 Take_off Distance l Ground roll or Lift-off distance: l Running length along the ground, starting from zero velocity, to gain flight speed & lift off from ground. l FAA requirements: l Total take_off distance = l Ground roll distance + distance to clear § 35’ ht. (jet civilian) § 50’ ht. (all others) Yousuff MEM 425 Aircraft Yousuff MEM 425 Aircraft 33 Force-Distance relationship l This is an accelerated flight ma F = (Assuming constant mass) 2 1 2 dV ma mV F mV sF ds = = ⇒ = 2 1 2 mV s F ⇒ = (distance covered by mass, while accelerating from rest to some V , under a const. force F .) Yousuff MEM 425 Aircraft Yousuff MEM 425 Aircraft 44 Application to aircraft T D L W R ( ) r R W L μ =- μρ χοεφ φ . οφ ρολλινγ (∼ 0 .0 2 -0 .1 29 ( ) r dV m F T D R dt T D W L μ = =-- =--- Yousuff MEM 425 Aircraft Yousuff MEM 425 Aircraft 55 TO analysis In general: ( ) ( ) ( ( ) ( )) r dV m T t D t W t L t dt μ =--- assume: ( ) , ( ) ; constants. T t T W t W = = ( ( ) ( )) r r dV m T W D t L t dt μ μ ⇒ =--- Integrate to get Sg , with 2 2 2 ,0 1 1 ( ) & ( ) 2 2 L D L L V t SC D V t S C KC ρ ρ φ = = + Ground effect Yousuff MEM 425 Aircraft Yousuff MEM 425 Aircraft 66 TO analysis - approximate Variation of forces: s g Distance along ground, s forces T (jet) L (proportional to V2 ) D μ ρ (Ω- Λ 29 D + μ ρ (Ω- Λ 29 2 1 2 L L SC V ρ = Note : D+ μ r(W-L) is apprx....
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This note was uploaded on 11/17/2009 for the course MEM 425 taught by Professor Yousuff during the Spring '08 term at Drexel.

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MEM425F09_6.TakeffTurn - Click to edit Master subtitle...

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