Computational Design of Microvascular Radiative Cooling Panels for Nanosatellites
Abstract
This novel application of microvascular panels as nanosatellite radiator panels involves the key challenge of satisfying design constraints involving the coolant temperatures and pressure drop across the microchannel network. To address this challenge, the radiator panels are represented by dimensionally reduced hydraulic and nonlinear thermal models. The interface-enriched generalized finite element method and the Newton–Raphson scheme are then combined to solve the resulting nonlinear equations. Next, an interface-enriched generalized finite element method-based sensitivity analysis of the nonlinear equations is developed and combined with an existing sequential quadratic programming algorithm to solve an optimization problem specifically formulated to optimize the thermal performance of the radiator. The resulting thermal performance of the optimized designs is not only superior to that of the reference designs but is also in excellent agreement with an analytical model derived based on the assumption of near-monotonic variation in the coolant temperature along the microchannel network. A feasibility study on a reference design and an optimized design shows that only the latter can satisfy all design constraints with appropriately chosen flow rates. Solutions of the thermal and hydraulic models are also verified with ANSYS FLUENT simulations.
References
[1] , “Survey of Worldwide Pico- and Nanosatellite Missions, Distributions and Sub-System Technology,” Acta Astronautica, Vol. 67, Nos. 7–8, 2010, pp. 854–862. doi:https://doi.org/10.1016/j.actaastro.2010.06.004 AASTCF 0094-5765
[2] , “Cubesat: A New Generation of Picosatellite for Education and Industry Low-Cost Space Experimentation,” Proceedings of the 14th Annual/USU Conference on Small Satellites, 2000.
[3] , “Overview of NASA’s Thermal Control System Development for Exploration Project,” Proceedings of the 40th International Conference on Environmental Systems, Barcelona, 2010.
[4] , Satellite Thermal Control for Systems Engineers, AIAA, Reston, VA, 1998, pp. 78–79, Chaps. 5, 6.
[5] , “Heat Transfer Enhancement Techniques for Space Station Cold Plates,” Journal of Thermophysics, Vol. 5, No. 3, 1991, pp. 423–428. doi:https://doi.org/10.2514/3.280 JTHTEO 0887-8722
[6] , “Liquid Droplet Radiators for Heat Rejection in Space,” Journal of Energy, Vol. 5, No. 6, 1981, pp. 387–393. doi:https://doi.org/10.2514/3.62557 JENED5 0146-0412
[7] , “Thermal Control Coatings Performance at Near Geosynchronous Altitude,” Journal of Thermophysics and Heat Transfer, Vol. 6, No. 4, 1992, pp. 665–671. doi:https://doi.org/10.2514/3.11549 JTHTEO 0887-8722
[8] , “Microvascular Composite Radiators for Small Spacecraft Thermal Management Systems,” 30th Annual AIAA/USU Conference on Small Satellites, Utah State Univ., Logan, UT, 2016, https://digitalcommons.usu.edu/smallsat/2016/TS10AdvTech2/3/.
[9] , “Three-Dimensional Microvascular Fiber-Reinforced Composites,” Advanced Materials, Vol. 23, No. 32, 2011, pp. 3654–3658. doi:https://doi.org/10.1002/adma.v23.32 ADVMEW 0935-9648
[10] , “Multidimensional Vascularized Polymers Using Degradable Sacrificial Templates,” Advanced Functional Materials, Vol. 25, No. 7, 2015, pp. 1043–1052. doi:https://doi.org/10.1002/adfm.v25.7 AFMDC6 1616-301X
[11] , “Iris v2.1 CubeSat Deep Space Transponder, Brochure,” NASA Jet Propulsion Lab., https://www.jpl.nasa.gov/cubesat/pdf/Brochure_IrisV2.1_201611-URS_Approved_CL16-5469.pdf [retrieved 20 Jan. 2018].
[12] , “An Airborne Onboard Parallel Processing Testbed, ESTO Science and Technology Forum,” 2014, https://esto.nasa.gov/forum/estf2014/presentations/A2P1_Mandl.pdf.
[13] , Satellite Thermal Control for Systems Engineers, AIAA, Reston, VA, 1998, pp. 78–79, Chap. 4.
[14] “MGD1000F—Data Sheet,” TCS Micropumps, TCS Micrompumps Ltd., England, U.K., https://www.servoflo.com/download-archive/data-sheets/273-tcs-data-sheets/1274-mgd1000-datasheet [retrieved 20. Jan. 2018].
[15] , Convective Heat and Mass Transfer, McGraw–Hill, New York, 1993, p. 115, Chap. 9.
[16] , “Gradient-Based Design of Actively-Cooled Microvascular Composite Panels,” International Journal of Heat and Mass Transfer, Vol. 103, 2016, pp. 594–606. doi:https://doi.org/10.1016/j.ijheatmasstransfer.2016.07.092 IJHMAK 0017-9310
[17] , “3D Dimensionally Reduced Modeling and Gradient-Based Optimization of Microchannel Cooling Networks,” Computer Methods in Applied Mechanics and Engineering, Vol. 323, 2017, pp. 230–249. doi:https://doi.org/10.1016/j.cma.2017.05.024 CMMECC 0045-7825
[18] , Computational Hydraulics, Butterworths, London, 1983, pp. 59–73.
[19] , “Pressure Drop of Fully-Developed, Laminar Flow in Microchannel of Arbitrary Cross-Section,” Journal of Fluids Engineering, Vol. 128, No. 5, 2006, pp. 1036–1044. doi:https://doi.org/10.1115/1.2234786 JFEGA4 0098-2202
[20] , “An Interface-Enriched Generalized FEM for Problems with Discontinuous Gradient Fields,” International Journal for Numerical Methods Engineering, Vol. 89, No. 8, 2012, pp. 991–1008. doi:https://doi.org/10.1002/nme.v89.8
[21] , “A 3D Interface-Enriched Generalized Finite Element Method for Weakly Discontinuous Problems with Complex Internal Geometries,” Computer Methods in Applied Mechanics and Engineering, Vols. 217–220, 2012, pp. 46–57. doi:https://doi.org/10.1016/j.cma.2011.12.010 CMMECC 0045-7825
[22] , “A NURBS-Based Interface-Enriched Generalized Finite Element Scheme for the Thermal Analysis and Design of Microvascular Composites,” Computer Methods in Applied Mechanics and Engineering, Vol. 283, 2015, pp. 1382–1400. doi:https://doi.org/10.1016/j.cma.2014.09.008 CMMECC 0045-7825
[23] , Real Analysis, Wiley, Canada, 1999, p. 186.
[24] , “A Gradient-Based Shape Optimization Scheme Using an Interface-Enriched Generalized FEM,” Computer Methods in Applied Mechanics and Engineering, Vol. 296, 2015, pp. 1–17. doi:https://doi.org/10.1016/j.cma.2015.07.024 CMMECC 0045-7825
[25] , “Sequential Quadratic Programming,” Acta Numerica, Vol. 4, 1995, pp. 1–51. doi:https://doi.org/10.1017/S0962492900002518 0962-4929
[26] , Laminar Flow Forced Convection in Ducts, Academic Press, 1978, pp. 20, 200.