This paper develops a quasi-one-dimensional mathematical model of steady-state heat transfer from a thin rectangular fin installed on a cylindrical pipeline parallel to its generatrix. Unlike classical formulations, third-kind boundary conditions are specified at both fin bases, accounting for heat exchange with the coolant and the environment, as well as heat transfer through the fin’s lateral surfaces. An analytical solution of the heat-conduction equation describing the temperature distribution along the fin height is obtained. The influence of fin height and thickness and of the material’s thermophysical properties on the temperature field is analyzed numerically. Increasing the fin thickness is shown to slow the temperature decrease along the height and to raise the total heat removed. Formulas for the finning efficiency and for the streamwise change of the coolant temperature are proposed. The results confirm the model’s validity and its applicability for evaluating the finning efficiency of heat-exchange surfaces.
| Mualliflar | Ergashev, D.Y., Khujaev, J.I., Akhmadjonov, S.S., Эргашев, Д.Й., Хужаев, Ж.И., Ахмаджонов, С.С. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashr sanasi | 2026-07-02 |
| Son | 3 |
| Betlar | 50-60 |
| Til | Rus |
| DOI | 10.71310/pcam.3_73.2026.04 |
DOI: 10.71310/pcam.3_73.2026.04 · Maqolaning asl sahifasi
fin, heat transfer, quasi-one-dimensional mathematical model, steadystate thermal conductivity, third-kind boundary conditions, finning efficiency, analog of Shukhov’s formula, ребро, теплоотдача, квазиодномерная математическая модель, стационарная теплопроводность, граничные условия третьего рода, эффективность оребрения, аналог формулы Шухова
This paper presents a three-dimensional numerical study of a novel vertical-axis wind turbine (VAWT) with a unique aerodynamic profile and a passive blade-pitch mechanism. Rectangular blades are mounted on horizontal…
This paper investigates how the propagation velocity of small pressure disturbances in a gas–liquid medium varies with the mass concentration of air. Two cases are considered: a rigid pipeline and a pipeline accounting…
Within a non-conservative formulation of the quasi-one-dimensional linearized mass and momentum conservation equations, transient processes are studied in an elementary undulating pipeline section caused by step-like…
This paper presents an improved quasi-one-dimensional model of unsteady compressible fluid flow in main pipelines for studying water hammer damping. Its novelty lies in a rigorous nonlinear boundary condition based on…
This work presents a comprehensive numerical and analytical study of hydrodynamic and thermal processes in closed pipelines of variable diameter, taking into account terrain relief and external thermal influences. The…
A three-dimensional mathematical model is proposed for the inflow of a turbid (sediment-laden) river flow into a density-stratified reservoir, accounting for phase separation and the breakdown of the layered structure…
This study presents a mathematical and numerical model for filtration flow, solute transport, adsorption, and membrane fouling in a cylindrical porous filter. The model combines axisymmetric Brinkman–Darcy flow…
The article considers hybrid CPU-GPU parallel implementations of numerical solution algorithms for the hereditary model equation of radon volume activity. The test example is a direct Cauchy problem for a nonlinear…
The paper addresses the formulation of plane elasticity problems in terms of stresses and their numerical solution by the Galerkin finite element method. Based on the equilibrium equations, geometric relations, and…
In this paper, an optimal interpolation formula with derivative constructed in the Sobolev space is considered. The formula interpolates an unknown function using its values and derivatives first three order at equally…