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Overimposed movement with friction

  1. Apr 8, 2009 #1
    1. The problem statement, all variables and given/known data
    I need to describe a glider movement during tow. The tow is based on a single axis displacement (x) with constant speed Ps=5 m/s. The cable length is constant=50 m.. The glider area A, lift and drag coefficients (Cl and Cd) are known as a function of tangential speed (Vt).
    The frictional coefficients of the tow line (Cdline) can be known as a function of local velocity. The diameter of the line is known=Ldiam. Y axis is vertical and the problem can be considered to develop only on the X-Y plane. The starting line angle (alpha) respect to x axis of the movement can be about 20º. The nonconservative force (Px) pulling the tow line along the x axis is the only external input energy.
    Vt= tangential speed of glider
    d=density of air
    Ar=aspect ratio of glider wing
    Cd0=coefficient rapresentative of other glider drag components proportional to square tangential velocity
    Vlocal is the cvelocity of a certaion point of the tow line
    The goal is to obtain an expresion for Vt and(or) alpha as a function of the other parameters



    2. Relevant equations
    Lift of the glider L=Cl(Vt)*d/2*Vt^2*A
    Drag of the glider D=(Cd(Vt)+Cl(Vt)^2/pi/Ar+Cd0)*d/2*Vt^2*A
    Drag coefficient for the line Cdline:3/log10(Reline)
    Reline=65535*Ldiam*Vlocal




    3. The attempt at a solution
     
  2. jcsd
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