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Fluid Mechanics of the Golf Dimple

Fluid Mechanics of the Golf Dimple. Nathan Kirwen. DRAG = the force that resists the movement of a solid object through a fluid (a liquid or gas ). LAMINAR FLOW = when the air flow is in a smooth stream (front of ball).

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Fluid Mechanics of the Golf Dimple

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  1. Fluid Mechanics of the Golf Dimple Nathan Kirwen

  2. DRAG =the force that resists the movement of a solid object through a fluid (a liquid or gas). LAMINAR FLOW =when the air flow is in a smooth stream (front of ball). TURBULANT FLOW =when the air flow acts in random three dimensional directions, where the drag is created (behind ball in “wake”).

  3. Equations Used • DRAG FORCE ( Figure 11-36 pg 586) • REYNOLDS NUMBER( @ 15 C ) Table A-9

  4. VARIABLES • Nike Sasquach Driver M = 200 g • Nike ONE Golf Ball m = 46 g • Elasticity of Golf Ball e = 0.70 • Tiger Woods Swing Speed V = 58.1 m/s Velocity of Ball = (M)(V)(1 + e) (M + m) Velocity of Ball = 80.3 m/s

  5. FINDING REYNOLDS NUMBER Re = pVD u p = density of fluid = 1.225 kg/m^3 V = velocity of ball = 80.3 m/s D = diameter of ball = 4.27 x 10^-2 m u = viscosity of fluid = 1.802 x 10^-5 kg/(m)(s) Re = 2.39 x 10^5

  6. FINDING COEFFICIENT OF DRAG • Reynolds Number Re = 2.39 x 10^5 • Use Reynolds Number to Find Cd • Use Figure 11-36 on pg. 586 Cd = approx. 0.25

  7. FINDING DRAG FORCE • Drag Force = (1/2)(Cd)(A)(p)(V^2) Cd = Coeff. of Drag = 0.25 (0.51 Smooth) A = Surface Area = 1.43 x 10^-3 m^2 p = Density of Fluid = 1.225 kg/m^3 V = Velocity of Ball = 80.3 m/s Drag Force (Dimpled) = 1.41 N Drag Force (Smooth) = 2.88 N

  8. REFERENCES • http://www.tournamentshowroom.com/images/products/Logo-Golf-Balls/LGB80-L.jpg • http://www.doubleeaglegolfmemphis.com/productimages/NIKE461.jpg • http://www.geo.mtu.edu/volcanoes/vc_web/background/graphics/reynold.gif • http://web.mit.edu/12.000/www/m2005/a2/finalwebsite/equipment/manned/equation1.gif • http://ffden2.phys.uaf.edu/211_fall2002.web.dir/Randolph_Bailey/Web%20Project/Tiger.html • http://www.vu.union.edu/~scottg/Senior_Project/Theory%20and%20Analysis.html • http://www.livescience.com/images/061020_golf_ball_03.jpg

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