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 con...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2021-10-01
|
| Series: | Aviation |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/Aviation/article/view/15330 |
| _version_ | 1818367534615756800 |
|---|---|
| author | Nihad E. Daidzic |
| author_facet | Nihad E. Daidzic |
| author_sort | Nihad E. Daidzic |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T22:53:35Z |
| format | Article |
| id | doaj.art-92157386c05e4e6c893c2d80003a440e |
| institution | Directory Open Access Journal |
| issn | 1648-7788 1822-4180 |
| language | English |
| last_indexed | 2024-12-13T22:53:35Z |
| publishDate | 2021-10-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Aviation |
| spelling | doaj.art-92157386c05e4e6c893c2d80003a440e2022-12-21T23:28:33ZengVilnius Gediminas Technical UniversityAviation1648-77881822-41802021-10-0125310.3846/aviation.2021.1533015330Mathematical model of hot-air balloon steady-state vertical flight performanceNihad E. Daidzic0AAR Aerospace Consulting, LLC, Saint Peter, MN 56082, USA; Minnesota State University, Mankato, MN 56001, USAVertical 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.https://journals.vgtu.lt/index.php/Aviation/article/view/15330lighter-than-air (LTA)hot-air balloon (LBH)buoyancylifting indexvertical flight performanceabsolute ceiling |
| spellingShingle | Nihad E. Daidzic Mathematical model of hot-air balloon steady-state vertical flight performance Aviation lighter-than-air (LTA) hot-air balloon (LBH) buoyancy lifting index vertical flight performance absolute ceiling |
| title | 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_short | Mathematical model of hot-air balloon steady-state vertical flight performance |
| title_sort | mathematical model of hot air balloon steady state vertical flight performance |
| topic | lighter-than-air (LTA) hot-air balloon (LBH) buoyancy lifting index vertical flight performance absolute ceiling |
| url | https://journals.vgtu.lt/index.php/Aviation/article/view/15330 |
| work_keys_str_mv | AT nihadedaidzic mathematicalmodelofhotairballoonsteadystateverticalflightperformance |