AAE450 Senior Spacecraft Design Matthew Guyon Week 9: March 22nd, 2007 Thermal Control Group/Group Leader Mars Nuclear Reactor TCS/ Space Nuclear Reactor TCS AAE450 Senior Spacecraft Design Mars Nuclear Reactor TCS TCS for MNR created by Matthew Guyon, last modified on 3-08-07 Radiator Area: 168.24 m2 Total Mass: 5.39 mt Power Number of 750 kW with a 24% efficiency provided by Mike Kowalkowskion on week 8 – 3/08/07 Numbers based on equation on slide 8 and attached code on pages 10-19 Guyon, 2 AAE450 Senior Spacecraft Design Space Nuclear Reactor TCS Electrical Power vs. Area of Radiator for Nuclear Power in Space 3500 3000 Electrical Power vs. Total Mass for Nuclear Power in Space 40 35 2000 30 1500 Total Mass (mt) Area of Radiator (m2) 2500 1000 500 0 500 1000 1500 2000 2500 3000 Power (kW) 3500 4000 4500 5000 TCS for MNR created by Matthew Guyon, last modified on 3-08-07 Power Number of 500 kW to 5 MW with a 24% efficiency Data for the space reactor in 100 kW increments is provided on page 9 25 20 15 10 5 0 500 1000 1500 2000 2500 3000 Power (kW) 3500 4000 4500 5000 TCS for MNR created by Matthew Guyon, last modified on 3-08-07 Power Number of 500 kW to 5 MW with a 24% efficiency Numbers based on equation on slide 8 and attached code on pages 10-19 Guyon, 3 AAE450 Senior Spacecraft Design References • Ref 1: Larson, Wiley and Pranke, Linda. Human Spaceflight Mission Analysis and Design. St. Louis: McGraw-Hill Companies (Pgs 513-537) • Ref 2: Incropera, Frank P., DeWitt, David P. Fundamentals of Heat and Mass Transfer Fourth Edition. New York: John Wiley and Sons 1996 • Ref 3: Gilmore, David G.. Spacecraft Thermal Control Handbook. California: The Aerospace Corporation • Ref 4: “Heat Transfer.” 25 Feb 2007 Wikibooks. 25 Feb 2007. <http://en.wikibooks.org/wiki/Heat_Transfer#Convection> • Ref 5: “Heat Transfer Coefficients .” 25 Feb. 2007 The Engineering Toolbox. 25 Feb 2007 <http://www.engineeringtoolbox.com/heat-transfer-coefficients-exchangers-d_450.html> • Ref 6: “Material Emissivity Properties.” Electro-optical.com. 25 Feb 2007. <http://www.electro-optical.com/bb_rad/emissivity/matlemisivty.htm> • Ref 7: “Convection.” Knowledgerush.com. 25 Feb 2007. <http://www.knowledgerush.com/kr/encyclopedia/Convection> Guyon, 4 AAE450 Senior Spacecraft Design Nuclear Reactor TCS Mass (kg) Power (kW) Volume(m3) Heat Exchangers 17 + 0.25 * capacity in kW 0 0.016 + 0.0012 * capacity in kW Coldplates 12 * capacity in kW 0 0.028 * capacity in kW Pumps with Accumulator 4.8 * loop capacity in kW 0.023 * loop capacity in kW 0.017 * loop capacity in kW Plumbing and Valves Add 15% to active system Negligible Negligible Instruments and Controls Add 5% to active system Negligible Negligible Fluids Add 5% to active system 0 Negligible Heat Pumps 8 * capacity in kW Varies Negligible Fixed Radiators 5.3 per m2 Negligible 0.02 per m2 MLI 1-3 per m2 Negligible 0.01 per m2 Heat Pipes 0.000294 * capacity in W * (length in m)2 0 2.03E-7 * capacity in W * (length in m)2 Larson1 Guyon, 5 AAE450 Senior Spacecraft Design Convection • Q = hA(T2-T1) • h = 50.00; (w/m^2-k) for al • Value for h for aluminum is based on Heat Transfer Coefficients5 • Picture based on drawling from Convection7 Guyon, 6 AAE450 Senior Spacecraft Design Radiation • Q = CAES(T2-T1)^4 • E = 0.84; for Anodized Aluminum-black • S = 5.67e-08; Stephan-Boltzmann constant • Constant for emissivity for aluminum is based on Material Emissivity Properties6 Guyon, 7 AAE450 Senior Spacecraft Design Solving for Area • A = Q/(K*h*(t_ref - t_in) + C*E*S*(t_ref t_in)^4); • This solves for the area needed to get rid of the heat based on the convection and radiation equations • The thought for these radiators is similar to that of a car radiator Guyon, 8