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Jerald A. Balta 3/27/2008 Propulsion Team/CAD Final Slides

Jerald A. Balta 3/27/2008 Propulsion Team/CAD Final Slides. Balloon Cost Modifier. Balloon Cost Items Balloon – Price quote from Aerostar International Helium – Priced at $4.87 per cubic meter Gondola- Constant Price of $13205.30. Balloon Cost. AAE 450 Spring 2008. Cost Trend Equation

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Jerald A. Balta 3/27/2008 Propulsion Team/CAD Final Slides

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  1. Jerald A. Balta3/27/2008Propulsion Team/CADFinal Slides AAE 450 Spring 2008

  2. Balloon Cost Modifier • Balloon Cost Items • Balloon – Price quote from Aerostar International • Helium – Priced at $4.87 per cubic meter • Gondola- Constant Price of $13205.30 AAE 450 Spring 2008

  3. Balloon Cost AAE 450 Spring 2008 Cost Trend Equation y = -0.0011x2 + 30.62x + 3111.1 y= Cost x=Balloon Payload 3<#>

  4. Balloon Model Buoyancy • Free Body Diagram • Two forces acting on Spherical Balloon • Buoyancy Force • Defined by difference between masses of lifting gas and air multiplied by gravitational constant • Weight Weight

  5. Derivation of Balloon Dimensions • Lifting Coefficient • Ρg is density of lifting gas • Ρa is density of air • Boyle’s and Guy Sac laws • Rho is density • P is pressure • T is Temperature

  6. Derivation of Balloon Dimensions Continued • Combine Equations to determine lifting coefficient for different heights • Take into account 95% Gas purity and standard excess of 15% lifting gas • Final Equation for Volume of Gas in relation to Mass • V is Volume of lifting gas • M is total Mass

  7. Gondola Costs • Structures Cost of $1205.30 • Material • Welding • Riveting • Avionics Cost of $12000 • One Battery • Sensors • Total Gondola Cost of $13,205.30 Provided by Sarah Shoemaker, Structures Group, and Avionics Group

  8. Ground Support and Handling Cost Modifier • Handling – Personnel required for handling of fuels, toxic materials, etc • Ground Support – Based on estimation of salaries of necessary personnel • Assumed $100/hour salary • 6 engineers from all teams and one manager

  9. Cost Modifier

  10. References • Defense Energy Support Center, “MISSILE FUELS STANDARD PRICES EFFECTIVE 1 OCT 2007,” Aerospace Energy Reference, November 2007 • Larson, W.J., Wertz, J.R., "Space Cost Modeling," Space Mission Analysis and Design, 2nd ed., Microcosm, Inc., California and Kluwer Academic Publishers, London, 1992, pp. 715-731. • Smith, Mike, Phone Conversation, Aerostar International, February 15, 2008 • Tangren, C.D., "Air Calculating Payload for a Tethered Balloon System," Forest Service Research Note SE-298, U.S. Department of Agriculture - Southeastern Forest Experiment Station, Asheville, North Carolina, August 1980.

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