An ongoing research to investigate the unsteady aerodynamics of insect flight is being conducted at the Fluid Mechanics Laboratory in NUS; the outcomes of which are important in the development Flapping Micro-Air-Vehicles. As part of this research, an experiment has been conducted on a simplified two-dimensional elliptic wing to study the effect of sinusoidal heaving (1.e. moving up and down) and pitching (Le. oscillating) motion of the wing on the generation of propulsion force. The wing has a chord length (distance between the leading and trailing edge of the wing) of c, and is pitching about the mid-chord (ie. c/2 from the Leading edge) as shown in Figure 3(a). The thrust or propulsive force of the wing (1) is expected to be a function of free stream velocity (U), chord length (c), frequency of heaving (f), amplitude of heaving (A), frequency of pitching (2), angular amplitude of pitching (a.), density of fluid (p) and dynamic viscosity (u). Rewrite this relation in non-dimensional form using p. U and c as repeating variables.

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
icon
Related questions
Question
An ongoing research to investigate the unsteady aerodynamics of insect flight is
being conducted at the Fluid Mechanics Laboratory in NUS; the outcomes of
which are important in the development Flapping Micro-Air-Vehicles. As part of
this research, an experiment has been conducted on a simplified two-dimensional
elliptic wing to study the effect of sinusoidal heaving (i.e. moving up and down)
and pitching (1.e. oscillating) motion of the wing on the generation of propulsion
force. The wing has a chord length (distance between the leading and trailing
edge of the wing) of c, and is pitching about the mid-chord (i.e. c/2 from the
leading edge) as shown in Figure 3(a).
The thrust or propulsive force of the wing (I) is expected to be a function of free
stream velocity (U), chord length (c), frequency of heaving (f), amplitude of
heaving (A), frequency of pitching (2), angular amplitude of pitching (a), density
of fluid (p) and dynamic viscosity (u). Rewrite this relation in non-dimensional
form using p, U and c as repeating variables.
U
Mid-chord axis
Angular pitching
amplitude
22
pitching motion
End of upstroke
A (heaving amplitude)
A
Middle of the stroke
End of downstroke
Figure 3(a) Note: Drawings are not drawn to scale
Transcribed Image Text:An ongoing research to investigate the unsteady aerodynamics of insect flight is being conducted at the Fluid Mechanics Laboratory in NUS; the outcomes of which are important in the development Flapping Micro-Air-Vehicles. As part of this research, an experiment has been conducted on a simplified two-dimensional elliptic wing to study the effect of sinusoidal heaving (i.e. moving up and down) and pitching (1.e. oscillating) motion of the wing on the generation of propulsion force. The wing has a chord length (distance between the leading and trailing edge of the wing) of c, and is pitching about the mid-chord (i.e. c/2 from the leading edge) as shown in Figure 3(a). The thrust or propulsive force of the wing (I) is expected to be a function of free stream velocity (U), chord length (c), frequency of heaving (f), amplitude of heaving (A), frequency of pitching (2), angular amplitude of pitching (a), density of fluid (p) and dynamic viscosity (u). Rewrite this relation in non-dimensional form using p, U and c as repeating variables. U Mid-chord axis Angular pitching amplitude 22 pitching motion End of upstroke A (heaving amplitude) A Middle of the stroke End of downstroke Figure 3(a) Note: Drawings are not drawn to scale
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY