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The lift force of an aircraft will be studied in a cryogenic wind tunnel, in which nitrogen at low temperature (183 K) and high pressure (5 atm) is employed as the working fluid. The lift force (F) is known to be a function of the wing span (w), the density of fluid (ρ), the speed of the aircraft (V), the viscosity of fluid (μ), and the speed of sound (c). a. Use dimensional analysis to develop a suitable set of dimensionless terms.     data : see picture

The lift force of an aircraft will be studied in a cryogenic wind tunnel, in which nitrogen at low temperature (183 K) and high pressure (5 atm) is employed as the working fluid. The lift force (F) is known to be a function of the wing span (w), the density of fluid (ρ), the speed of the aircraft (V), the viscosity of fluid (μ), and the speed of sound (c). a. Use dimensional analysis to develop a suitable set of dimensionless terms.     data : see picture

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The lift force of an aircraft will be studied in a cryogenic wind tunnel, in which nitrogen at low temperature (183 K) and high pressure (5 atm) is employed as the working fluid. The lift force (F) is known to be a function of the wing span (w), the density of fluid (ρ), the speed of the aircraft (V), the viscosity of fluid (μ), and the speed of sound (c).

a. Use dimensional analysis to develop a suitable set of dimensionless terms.

 

 

data : see picture 
 
data: see picture Viscosity [Pa.s] Density [kg/m³] Speed of sound [m/s] Air at sea-level standard conditions 1.789x10-5 1.225 340 Nitrogen at 183 K and 5 atm 1.200x10-5 7.608 275
Transcribed Image Text:data: see picture Viscosity [Pa.s] Density [kg/m³] Speed of sound [m/s] Air at sea-level standard conditions 1.789x10-5 1.225 340 Nitrogen at 183 K and 5 atm 1.200x10-5 7.608 275
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