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The Subtle Art of Not Giving a

Sapiens: A Brief History of

Hidden Figures: The American

Shoe Dog Memoir b

Example - Calculating Reynolds Number 2

A Newtonian fluid with a dynamic or absolute viscosity of 0.38 Ns/m and a specific grav of 0.91 flows through a 25 mm diameter pipe with a velocity of  2.6 m/s. The density can be calculated using the specific gravity like 3

 ρ = 0.91 (1000 (1000 kg/m ) = 910 kg/m

3

The Reynolds Number can then be calculated using equation (1) like 3

-3

2

 Re = (910 kg/m kg/m ) (2.6 m/s) (25 mm) (10 m/mm) / (0.38 Ns/m ) 2

= 156 (kg m / s )/N  = 156 ~ Laminar flow 2

(1 N = 1 kg m / s )

Example Aeroplane - Lift, Drag and required Thrust Power 2

For an aeroplane with velocity 100 m/s, wing area 20 m , drag coefficient 0.06 and lift coefficient 0.7, the lifting force can be calculated as 3

2

2

 L = 0.7 1/2 (1.2 (1.2 kg/m ) (100 m/s) (20 m ) = 84000 N  = 84 kN 

The drag force can be calculated as 3

2

2

 D = 0.06  1/2 (1.2 kg/m ) (100 m/s) (20 m ) = 7200 N  = 7.2 kN 

Required thrust power to overcome the drag force:

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