Abstract

An extant bird resorts to flapping and running along its take-off run to generate lift and thrust in order to reach the minimum required wing velocity speed required for lift-off. This paper introduces the replication hypothesis that posits that the variation of lift relative to the thrust generated by the flapping wings of an extant bird, along its take-off run, replicates the variation of lift relative to the thrust by the flapping wings of a protobird as it evolves towards sustained flight. The replication hypothesis combines experimental data from extant birds with evidence from the paleontological record of protobirds to come up with a physics-based model of its evolution towards sustained flight while scaling down the time span from millions of years to a few seconds. A second hypothesis states that the vertical and horizontal forces acting on a protobird when it first encounters lift-off are in equilibrium as the protobird exerts its maximum available power for flapping, equaling its lift with its weight, and its thrust with its drag.

Highlights

  • Lift is often considered the primordial force leading the primitive, evolving bird, referred to here as a protobird, towards sustained flight, a pervasive concept in the field of flight biomechanics.A protobird is a non-flying, non-descript animal capable of running while generating thrust by flapping its wings

  • The limited flapping kinematics of a protobird is assumed to involve a low level of specific kinetic energy available at its wings, that increases along evolution, until reaching a critical level

  • This paper presents: (i) the replication hypothesis, applicable along the take-off run of a protobird, and (ii) a hypothesis that proposes the protobird to be in equilibrium when first encountering lift-off, a condition defined by two simultaneous equations

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Summary

Introduction

Lift is often considered the primordial force leading the primitive, evolving bird, referred to here as a protobird, towards sustained flight, a pervasive concept in the field of flight biomechanics. This paper presents: (i) the replication hypothesis, applicable along the take-off run of a protobird, and (ii) a hypothesis that proposes the protobird to be in equilibrium when first encountering lift-off, a condition defined by two simultaneous equations. Both of these hypotheses make use of the normalized lift, η L , normalized thrust, η T and the normalized drag, η D (counterparts to the lift coefficient CL , the thrust coefficient CT , and the drag coefficient, CD ), nondimensional numbers that have a physical meaning, and can be applied directly.

21 PEER REVIEW
A First Hypothesis
An Application of the Replication Hypothesis
81.49 IIIIII vf vw
The of the Kinetic a Wing’s
A Second Hypothesis
Polar Diagrams
Horizontal Forces in Equilibrium at Near Take-Off
Findings
Conclusions
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