Asymptotic analysis of the heat conduction problem in a dilated pipe

Marušić–Paloka, Eduard; Pažanin, Igor; Prša, Marija

doi:10.1016/j.amc.2019.02.083

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2021

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“…The effects of curvature for the process in curved pipe was studied in [14,15]. The effects of pipe dilatation, due to the heat, were considered in [16,17]. Similar results for heat conduction equation in a body containing a thin interlayer with high contrast conductivity was studied in [1], Chapter 9, Section 4.…”

Section: Introductionmentioning

confidence: 99%

Mathematical model of heat transfer through a conductive pipe

et al. 2021

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The standard engineer's model for heat transfer between the fluid flowing through the pipe and the exterior medium neglects the effects of the pipe's wall. The goal of this paper is to prove that they are not always negligible. Comparing the ratio between diffusivities of the fluid and the wall with the wall's thickness, using rigorous asymptotic analysis, we find five different models for effective description of the heat exchange process.

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