A Numerical Investigation of Thermal Conditions and Deformations of the Astronomical Roentgen Telescope
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1 Spectrum-Roentgen-Gamma International Experiment A Numerical Investigation of Thermal Conditions and Deformations of the Astronomical Roentgen Telescope А. Ryabov, V. Spirin, S. Gulakov, S. Garanin, S. Grigorovich M.Pavlinskyi, N.Semena Sarov Engineering Center Institute of Laser Physics VNIIEF Space Research Institute RAS RUSSIA 1
2 International Spacecraft Platform 2
3 Astronomical Roentgen Telescope-ART-XC The main purpose of ART-XC telescope (Astronomical Roentgen Telescope X-ray Concentrator) with X-ray optical system is searching of space under a hard X-ray range to solve scientific problems in frame of Spectrum-RG international experiment. One of the major requirements for the telescope is to ensure restricted temperatures and minimal thermal deformations of the construction from solar irradiation and heating effects of spacecraft during orbital flight. Therefore, a detailed computer simulation of temperature conditions and thermal deformation of telescope parts in outer space is carried out at a development stage using STAR-CCM+. 3
4 ART-XC Orbital Motion and Solar Irradiation Shadow and Sunlight interchange depending on a Spacecraft Orientation 4
5 Operating Modes and Requirements The telescope is in orbit under solar irradiation that heats its different construction zones depending on a spacecraft orientation. In addition, some heaters of thermal control system may breakdown in flight. Separate parts of the telescope optical system are capable to run in a certain temperature range that imposes stringent requirements for the thermal control system during off-line operation in outer space. To meet these requirements 9 thermal modes are calculated: minimal and maximal mode (depending on solar radiation presence), 7 scenarios of a survival mode (emergency modes in case of some heater or its circuit breakdown). Simulation of each mode adds up to finding the minimum required power of heaters and their location that ensure an acceptable range of construction temperatures. 5
6 Methodology of Numerical Simulations Meshing (pro-star) Temperatures (STAR-CCM+) Thermal deformations & Displacements (Abaqus) 6
7 Computer Models of Real Structure 7
8 Description of Computer Models Multi-band radiant heat exchange by Plank s law for separate simulation of the solar and heat radiation, temperature dependence of material properties, an anisotropic solid model causes extremely sophisticated and non-linear problem formulation. The solar and heat radiation are considered separately for better accounting of the direct and reflected solar radiation action. 512 rays (1024 by default) are assumed for the considering construction that has about 700 thousand patches. This combination is acceptable for the accuracy, computational time and memory requirements. 8
9 Description of Computer Models The problem of heat conduction in anisotropic solids along with multi-band radiative heat transfer was numerically implemented in STAR-CCM+ using the fully implicit algorithm. AMG method was used with an increased number of iterations at "coarse" levels (W cycle) with the following parameters: maximum number of cycles: n = 150, convergence rate: N = 0,001. The selected solver parameters allow to obtain a converge solution for about three thousand of iterations. 9
10 Temperatures in a Tube Research of Grid Solution Convergence. Temperatures correspond to Minimal Mode 1.2 million cells 9.7million cells 10
11 X-Ray Mirror Spider and Detector Plate Research of Grid Solution Convergence. Temperatures correspond to Minimal Mode 1.2 million cells 9.7million cells 11
12 Temperatures of a Protective Unit Minimal Mode Temperatures Orbital Transfer Mode (Heaters turned off) 12
13 Temperatures of Mirrors and Spider Minimal Mode Temperatures Orbital Transfer Mode (Heaters turned off) 13
14 Thermal deformations Maximal calculated thermal displacements of the optical channel parts are almost the same for all considered temperature modes and they are: for X-ray mirrors 0.25 mm, for block of X-ray detectors 1.2 mm 14
15 Conclusions 1. Several computer models have been developed for numerical simulations of ART-XC steady and unsteady thermal states. The convergence of the solution and adequacy of the numerical results were examined and confirmed on the basis of these models. 2. The anisotropic computer model of X-mirror heat equivalent has been developed and numerically proved. This model allows reflecting the actual construction adequately, without significant distortion of the temperature field. Incorporating of this heat equivalent to the telescope computer model allowed significantly saving of the required computational cost. 15
16 Conclusions 3. Several thermal modes were analyzed: minimal and maximal modes, seven scenarios of the survival mode. Minimum required powers and location of 29 heat elements was defined for each mode, providing the acceptable temperature range of the construction. 4. The influence of surface emissivity variation ( for a polished surface of aluminum alloy= , for carbon fiber= , for a polished surface of steel parts= ) on the telescope thermal modes has been investigated by numerical experiments, it causes temperature variation of the main parts of about 2% or less than 5K. 5. Calculated maximal thermal deformations of X- mirror shells and other telescope parts ensure the specified geometric characteristics of the optical channels. 16
17 Assembly of ART-XC Spacecraft Platform With best wishes for upcoming flight! Sarov Engineering Center 17
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