Lift and Drag

Body in fluid flow - lift and drag

Lifting Force

The lifting force acting on a body in fluid flow can be expressed as

L = cL 1/2 ρ v2 A   (1) 

where 

L = lifting force (N)

cL = lifting coefficient

ρ = density of fluid (kg/m3)

v = flow velocity (m/s)

A = body area (m2)

Drag Force

The drag force acting on a body in fluid flow can be expressed as

D = cD 1/2 ρ v2 A   (2) 

where 

D = drag force (N)

cD = drag coefficient

ρ = density of fluid (kg/m3)

v = flow velocity (m/s)

A = body area (m2)

Required Thrust Power to overcome Drag Force

Required thrust power to overcome the drag force can be calculated as

P = D v    (3)

where

P = power (W)

Example Aeroplane - Lift, Drag and required Thrust Power

For an aeroplane with velocity 100 m/s, wing area 20 m2, drag coefficient 0.06 and lift coefficient 0.7, the lifting force can be calculated as

L = 0.7 1/2 (1.2 kg/m3) (100 m/s)2 (20 m2)

   = 84000 N

   = 84 kN

The drag force can be calculated as

D = 0.06  1/2 (1.2 kg/m3) (100 m/s)2 (20 m2)

   = 7200 N

   = 7.2 kN

Required thrust power to overcome the drag force:

P = (7200 N) (100 m/s)

  = 720000 W

  = 720 kW

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