Probabilistic modeling of transient heat transfer and assessment of thermal reliability of fibrous insulation under aerodynamic heating conditions

First-Principles Informed Atomistic-Scale Calculations of Equilibrium Energy Accommodation Coefficients for Aluminum–Noble Gas Systems

“…Gas–solid energy transfer in the noncontinuum regime is of relevance to a broad range of scientific and engineering applications such as aerodynamic heating of spacecrafts, thermal management of MEMS devices, synthesis of nanoparticles, laser-based aerosol characterization techniques, and rocket propellant combustion . In a rocket propellant, metal nanoparticles can be added as an additive to increase the burning rate and specific impulse of the propellant .…”

Infinite family of universal profiles for heat current statistics in Fourier's law

“…These results allow us to find new relations between some of these cumulants, which imply integral relations between different correlators of the heat current field. This finding opens the door to further experimental research to test these results, as the lowerorder cumulants of both the empirical heat current and the temperature can be readily measured in actual experiments [9][10][11][12][13][14][15][16][17][18][19]. Prospective experimental systems where to look for these effects are for instance nonequilibrium fluids confined at the nanoscale, where fluctuations play a dominan role, as well as turbulent media or even fusion plasmas characterized by strong temperature gradients along magnetic field lines.…”

“…This distribution can be written as the path integral over all possible trajectories of the temperature and current fields which, starting from the fluid's steady state distribution and weighted by (8), are compatible with the required averaged current J [see Eq. ( 11)] and the continuity constraint (10),…”

“…Interestingly, while it is widely believed that Fourier's law is just a linear approximation to a more complex transport law, recent works have shown that, at least for some fluid models, this law holds locally far from equilibrium [7] and well beyond the linear transport regime. Numerous experimental works have studied the statistics of fluctuations of heat flux and temperature in this setting for a wide variety of systems, measuring the corresponding probability distributions [8][9][10], some low-and highorder cumulants [9][10][11][12][13][14][15][16][17][18][19] and the associated temperature profiles [11,12,14,16,19,20]. Nevertheless, developing a general theoretical scheme to understand both typical and rare heat current fluctuations in this setting remains challenging, even for the simplest model fluids.…”

Justification of the choice of heat-insulating material for the underground method of laying heat pipelines at the enterprises of the agro-industrial complex

“…Based on the characteristics and possibilities of using modern thermal insulation materials [6][7][8][9][10][11], as well as the requirements of SP 61.13330.2012 "Thermal insulation of equipment and pipelines", materials were selected that, by their thermal characteristics, provide the lowest heat losses during transportation of energy carriers. These materials include polyurethane foam, reinforced foam concrete To carry out the research, the results of a multifactorial computer experiment carried out by the authors were used [5].…”