Statistical simulation of the hypersonic aircraft pressurized compartment and surface cooling system thermal state

• Main Authors: Gusev, S. A., Nikolaev, V. N.
• Format: Conference Proceeding
• Language: English
• Subjects: Aircraft; Aircraft reliability; Algorithms; Computer simulation; Cooling; Cooling systems; Differential equations; Heat exchange; Honeycomb construction; Hypersonic aircraft; Inverse problems; Mathematical models; Matrix methods; Random walk; Surface cooling
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/1.5117469

A method for determining the hypersonic airplane pressurized compartment thermal state is developed based on the use of a mathematical model of the compartment with metal honeycomb constructions thermal state. The mathematical model of the system of the pressurized thermal-insulated compartment with a surface cooling system is represented by a system of differential and algebraic equations. The development of a stochastic method for solving the direct heat exchange problem of a metal honeycomb construction using stochastic differential equations by the Euler method and random walk by spheres method and inverse of heat exchange is carried out. The inverse problem for the metal honeycomb construction is solved by a stochastic quasigradient algorithm with a variable metric. The product vector of estimated coefficients errors of a nonlinear mathematical model is determined by the expression that is a quantile function χ2 - distributions and the Gram matrix. Investigations of the hypersonic aircraft were conducted in accordance with the Airworthiness standards. The required thickness of the metal honeycomb construction of the pressurized compartment, the temperature and the refrigerant consumption of the hypersonic airplane surface cooling system are obtained.