MEM425pdfF08_3.T&Preq

MEM425pdfF08_3.T&Preq - MEM 425: Aircraft...

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MEM 425: Aircraft Performance & Design Dr. Ajmal Yousuff Dept. MEM Drexel University
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Longitudinal Flight Equations of motion: Yousuff MEM 425 2 horizon velocity q L D a T a T W ) cos( ) sin( ) sin( ) cos( q a W T L F W D T F T z T x
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Basic equations Consider un-accelerated level flight ) 0 ( F ) 0 ( q Yousuff MEM 425 3 W T L D T T T a sin cos 0 T W L D T
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Thrust required For level un-accelerated flight: Given W, S, V, r , what is the thrust (T R ) required? This yields: L D qSC W L qSC D T D L W C C W T D L R / / Yousuff MEM 425 4
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T R minimization Note ics aerodynam measure of D L D L T R : ; / 1 min max ) / ( R T D L Yousuff MEM 425 5 ) / ( D L max ) / ( D L a D L C C a
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min- T R contd. Note: Flight can be maintained at other angles of attack, but only with larger thrust. (L/D) depends on V , and so does (L/D)| max . Hence, min- T R is a function of V . Yousuff MEM 425 6
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Thrust build-up ) ( 2 1 2 1 2 0 , 2 2 L D D KC C S V SC V D T r Yousuff MEM 425 7 get we , 2 with 2 S V W C L 2 2 2 0 , 1 2 2 1 V S W K V SC T D At “small” V , “ 1/V 2 ” dominates At “large” V , “ V 2 ” dominates 2 2 2 ,0 11 22 DL SC V SKC V rr 
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T R .vs.
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This note was uploaded on 10/27/2008 for the course MEM 425 taught by Professor Yousuff during the Spring '08 term at Drexel.

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MEM425pdfF08_3.T&Preq - MEM 425: Aircraft...

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