AAE450 Spring 2009 Lander Phase: Hybrid Propulsion System Propellant Tank Sizing and Pressure Analysis Thermodynamic analysis on Hydrogen peroxide Tanks Week 5 Presentation Thursday, Feb 12, 2009 Saad Tanvir Propulsion Group 1

AAE450 Spring 2009 Propellant Tank Sizing and Pressure Analysis Tank Sizing : Pressure-Fed System: Pressure of the Tank = 2.59 MPa Further Analysis: Mass and Volume of the pressurized tank Saad Tanvir Propulsion Group Lander Wet Propellant mass kg Propellant Tank Volume0.115 m 3 Operating Chamber Pressure1.73 MPa Manufacturing MaterialAl – 7075 T6 Aluminum Yield Strength500 MPa Wall Thickness0.6 mm Tank inert mass1.6 kg 2

AAE450 Spring 2009 Preliminary Thermodynamic Analysis: Thermal Blanket Insulation Assumptions: Tank operating Temperature = 283 K (50 F) Surrounding Temperature = 2.73 K Space Blanket Properties: k (thermal conductivity) = W/mK thickness = 200 mm mass ~ 2 kg Heat dissipation ~ 35 W Saad Tanvir Propulsion Group 3 ΔT = K

AAE450 Spring 2009 Backup Slides: Pressure-Fed System  For smaller Tank volumes: P chamber = 1.73 MPa ∆P dynamic = ½ v 2 ~ 0.02 MPa ∆P feed (Upper bound) ~ 0.05 MPa ∆P cool ~ 0.15pc = 0.26 MPa ∆P injector ~ 0.3pc = MPa P tank ~ 2.58 MPa Saad Tanvir Propulsion Group Source: Humble, R. W., Henry, G. N., & Larson, W. J. (1995). Space Propulsion and Design. : McGraw-Hill Companies, Inc. 4

AAE450 Spring 2009 Backup Slides: Tank sizing Saad Tanvir Propulsion Group 5

AAE450 Spring 2009 Backup Slides: Tank sizing Continued … Spherical pressure Vessel Where:  P is the internal pressure  t is the wall thickness  d is the inside diameter of the cylinder.  σ is the hoop stress. Saad Tanvir Propulsion Group 6

AAE450 Spring 2009 Backup Slides: Tank Sizing Continued … Saad Tanvir Propulsion Group 7

AAE450 Spring 2009 Backup Slides: Thermodynamic Analysis For Tank (Aluminum) A = 1.14m 2 t = m ΔT = K k = 235 W/mK Saad Tanvir & Brad Appel Propulsion Group 8 Q: Rate of Heat transfer [W] A: Area of Cross section of the tank [ m 2 ] k: Thermal Conductivity [W/mK] ΔT: Temperature Difference [K] t: Thickness of the blanket [m] ~70 MW