NDLI: Spherical balloon response to three-dimensional time-dependent flows

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Spherical balloon response to three-dimensional time-dependent flows

Content Provider	NASA Technical Reports Server (NTRS)
Author	Fichtl, G. H.
Copyright Year	1972
Description	The concept of the Lagrangian displacement of a balloon is introduced. It is shown that the general balloon response problem is extremely complicated because the wind-forcing functions in the balloon equations of motion are functions of the wind velocity vector and its Eulerian first derivatives evaluated at the location of the balloon. The linear perturbation equations for a spherical balloon are derived by perturbing the components of velocity of the balloon about a terminal velocity state which is in equilibrium with a space-time invariant mean horizontal flow. The atmospheric flow is also perturbed such that the resulting equations can be used to analyze the responses of spherical balloons to three-dimensional time-dependent flows. The wind field is represented in terms of a four-fold Fourier integral that involves three orthogonal wave numbers and a frequency, while the balloon components of velocity are represented as Fourier integrals involving a frequency which, in turn, is a function of the wind field wave numbers and frequency and the unperturbed flow components of velocity.
File Size	1007156
Page Count	29
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19720019351
Archival Resource Key	ark:/13960/t8kd6nv74
Language	English
Publisher Date	1972-07-01
Access Restriction	Open
Subject Keyword	Aerodynamics Euler-lagrange Equation Numerical Analysis Aerodynamic Configurations Atmospheric Turbulence Three Dimensional Flow Equations of Motion Aerodynamic Characteristics Balloons Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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