Mathematical model of hot-air balloon steady-state vertical flight performance

Vertical flight performance of Lighter-than-Air free hot-air balloons is derived and discussed. Novel mathematical model using lumped-parameters has been used to model balloon flight dynamics and steady-state performance in particular. Thermal model was not treated as the super-heat is under the co...

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Autor principal: Nihad E. Daidzic
Formato: article
Lenguaje:EN
Publicado: Vilnius Gediminas Technical University 2021
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Acceso en línea:https://doaj.org/article/92157386c05e4e6c893c2d80003a440e
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spelling oai:doaj.org-article:92157386c05e4e6c893c2d80003a440e2021-11-25T14:49:18ZMathematical model of hot-air balloon steady-state vertical flight performance10.3846/aviation.2021.153301648-77881822-4180https://doaj.org/article/92157386c05e4e6c893c2d80003a440e2021-10-01T00:00:00Zhttps://journals.vgtu.lt/index.php/Aviation/article/view/15330https://doaj.org/toc/1648-7788https://doaj.org/toc/1822-4180 Vertical flight performance of Lighter-than-Air free hot-air balloons is derived and discussed. Novel mathematical model using lumped-parameters has been used to model balloon flight dynamics and steady-state performance in particular. Thermal model was not treated as the super-heat is under the control of aeronauts/pilots. Buoyancy or gross lift, net or effective lift, specific lift, and excess specific lift were derived for a general single envelope balloon and can be applied to hot-air, gas and hybrid balloons. Rate-of-climb, absolute ceiling, rate-of-descent, and the maximum rate-of-descent or the uncontrolled terminal descent have all been modeled and sample computations performed for AX8 or AX9 FAI-class hot-air balloons. Lifting index or the specific net/effective lift have been computed treating ambient and hot air as ideal gases at various pressure altitudes and representative envelope temperatures. Drag coefficient in upward and downward vertical flights have been chosen based on best available data. Experimental scale and full-scale flight tests are suggested for more accurate estimates of external aerodynamics in vertical balloon flights. CFD computations of coupled inner- and external-flows are also recommended in future efforts. Knowledge of free balloon’s vertical performance is essential in flight planning and operational safety of flight. Nihad E. DaidzicVilnius Gediminas Technical Universityarticlelighter-than-air (LTA)hot-air balloon (LBH)buoyancylifting indexvertical flight performanceabsolute ceilingMotor vehicles. Aeronautics. AstronauticsTL1-4050ENAviation, Vol 25, Iss 3 (2021)
institution DOAJ
collection DOAJ
language EN
topic lighter-than-air (LTA)
hot-air balloon (LBH)
buoyancy
lifting index
vertical flight performance
absolute ceiling
Motor vehicles. Aeronautics. Astronautics
TL1-4050
spellingShingle lighter-than-air (LTA)
hot-air balloon (LBH)
buoyancy
lifting index
vertical flight performance
absolute ceiling
Motor vehicles. Aeronautics. Astronautics
TL1-4050
Nihad E. Daidzic
Mathematical model of hot-air balloon steady-state vertical flight performance
description Vertical flight performance of Lighter-than-Air free hot-air balloons is derived and discussed. Novel mathematical model using lumped-parameters has been used to model balloon flight dynamics and steady-state performance in particular. Thermal model was not treated as the super-heat is under the control of aeronauts/pilots. Buoyancy or gross lift, net or effective lift, specific lift, and excess specific lift were derived for a general single envelope balloon and can be applied to hot-air, gas and hybrid balloons. Rate-of-climb, absolute ceiling, rate-of-descent, and the maximum rate-of-descent or the uncontrolled terminal descent have all been modeled and sample computations performed for AX8 or AX9 FAI-class hot-air balloons. Lifting index or the specific net/effective lift have been computed treating ambient and hot air as ideal gases at various pressure altitudes and representative envelope temperatures. Drag coefficient in upward and downward vertical flights have been chosen based on best available data. Experimental scale and full-scale flight tests are suggested for more accurate estimates of external aerodynamics in vertical balloon flights. CFD computations of coupled inner- and external-flows are also recommended in future efforts. Knowledge of free balloon’s vertical performance is essential in flight planning and operational safety of flight.
format article
author Nihad E. Daidzic
author_facet Nihad E. Daidzic
author_sort Nihad E. Daidzic
title Mathematical model of hot-air balloon steady-state vertical flight performance
title_short Mathematical model of hot-air balloon steady-state vertical flight performance
title_full Mathematical model of hot-air balloon steady-state vertical flight performance
title_fullStr Mathematical model of hot-air balloon steady-state vertical flight performance
title_full_unstemmed Mathematical model of hot-air balloon steady-state vertical flight performance
title_sort mathematical model of hot-air balloon steady-state vertical flight performance
publisher Vilnius Gediminas Technical University
publishDate 2021
url https://doaj.org/article/92157386c05e4e6c893c2d80003a440e
work_keys_str_mv AT nihadedaidzic mathematicalmodelofhotairballoonsteadystateverticalflightperformance
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