Effect of coating porosity on the process of heat transfer with gas-thermal deposition

Nowadays there are many approximate methods for thermal conductivity calculation, that lead to satisfactory outcomes in engineering practice. With the new approach, the solution of the nonlinear thermal conductivity equation was investigated. In addition to this, we reviewed the approximate solution of the nonlinear equation of thermal conductivity with cubic nonlinearity. To solve the problems of mathematical analysis, differential and integral equations, and boundary value problems of mathematical physics, difference, and interpolation are applied. Thus, for thinking of the effectiveness and reasonableness of these approaches, it is crucial for their theoretical investigation. The solution to these questions was found for each class of equation and each of its methods in their way and was often represented as significant difficulty, and in many cases was an obstacle for the current time. A natural approach to solving this issue is the use of the ideas of functional analysis. The variational principle initially was considered as a variational approach for solving linear functional equations and finding eigenvalues of linear operators. As in any variational approach, the problem of solving an equation will be brought to finding the extremum of the certain function of a special type, given over the entire space. It was found that the approach is useful in a way of minimizing functions of the more general type.

Section: Resultsmentioning

confidence: 99%

“…Build an algorithm for the approximate solution of nonlinear boundary value problems and carry out a numerical experiment using the proposed method. 31,32…”

Section: Discussionmentioning

confidence: 99%

The approximate solution of nonlinear heat equation

Aruova,

Beisebay,

Akzhigitov

et al. 2023

“…The gases produced during combustion can create turbulent flows that affect the way the gases move in the system. 6 Taking this interaction into account is important when modeling and studying combustion and heat transfer processes. It allows us to better understand and predict the behavior of gases and energy.…”

Section: Introductionmentioning

confidence: 99%

“…Feedback also exists because combustion can affect the distribution of turbulence in the system. The gases produced during combustion can create turbulent flows that affect the way the gases move in the system 6 . Taking this interaction into account is important when modeling and studying combustion and heat transfer processes.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of two‐phase flows in the presence of dynamic and thermal interactions

Tulegenov,

Kamalova,

Bekenova

et al. 2023

The study of turbulent flow in mixtures consisting of gas and particulate matter is a current area of research among modern scientists. The main objective of this area is to prevent the reduction of burnout in flow‐through systems. Therefore, the purpose of this research is to develop a mathematical model of turbulent gas flow with solids to explore the structure of the combustion region in a channel with a partially open boundary to determine the interfacial interaction of the injection of a flat heterogeneous flow in a confined area and the influence of regime parameters on the ignition process. For this purpose, a modeling method was used, which involved using the fundamental laws of continuity of flow, conservation of energy, and the quantity of motion and matter, and an experiment was conducted to reconcile the proposed model with theoretical data. As a result of this work, a model based on the averaged Reynolds Navier–Stokes equations and an algorithm for solving a turbulent subsonic two‐dimensional flow in a heterogeneous medium based on an Euler–Lagrange representation have been developed. Thus, the effects of the parameters of entrainment, temperature, and component concentration on the combustion range and mixing intensity were determined. The proposed methodology can be applied to solve application problems of various kinds, for example, in the design of thermal power plants. The scope of the mathematical and numerical models developed is sufficiently broad that they are universal.

“…This allows for the meticulous evaluation of potential thermal bridges, energy losses, and temperature differentials across the building envelope. By ensuring the accuracy of these calculations, designers can not only optimize the building's energy performance but also mitigate potential risks associated with heat dispersion, condensation, and structural integrity 6–10 . The precision in these calculations reverberates through the lifecycle of the building, extending its impact to the operational phase.…”

Section: Introductionmentioning

confidence: 99%

Comparison of experimental and calculated thermal transmittance for timber‐framed outer wall constructions

Gendelis

2023

The importance of accurately determining the thermal transmittance factor for the outer walls of timber‐framed buildings is the driving force behind this research. This calculation is necessary for heating and cooling load determination, as well as energy consumption assessment. This research aims to conduct an analytical comparison, through both experimental and calculated means, of thermal conductivity coefficients of materials employed in the construction of buildings and structures. The methodological approach adopted in this research is grounded on an experimental analysis of the thermal transmittance of the outer wall materials in timber‐framed buildings. Thermal conductivity measurements with a Hot Plate apparatus by ISO 8302 and thermal conductivity calculations using mathematical software were the primary experimental methods deployed during the research. The results of this study demonstrate differences between experimental and calculated thermal transmittance values for timber‐framed outer walls. Moisture inconsistent distribution throughout the material is the reason behind these discrepancies, calling for particular humidity corrections in the calculations, varying across different materials. While working with simplified calculations of timber‐framed outer wall structures, monitoring the uneven heat flow in I‐beam joints is paramount and should be coupled with humidity‐related material changes. This study's practical implications are that the results can be implemented when calculating the energy consumption of building structures and the heating‐cooling load they entail.