Abstract

In this study, a practical combined approach was applied by the Gaver-Stehfest method to examine the impermanent reaction of a spiral fin whose tip is isolated with the base tip exposed to changes in fluid temperature. The heat transmission of the fin under the stable temperature effect of the base is examined. The environment temperature is saved stationary and no heat source or sink is available. Results are improved for minor- and major -time worth when the base is exposed to the unit step variation form in temperature. The changes in heat flux and temperature at the base formed depending on the parameters that make up the spiral fin are graphically shown. The available numerical results show that it is fully consistent when compared with the literature.

Highlights

  • Many engineers and researchers have done a lot of work to increase the response problem in the fins and heat dissipation from a hot surface using fins in industrial applications

  • Using the natural convection correlations available for plates, the efficiency of circular fins of distinct profiles exposed to local heat transmission constant as a function of local temperature was investigated by Mokheimer et al [4]

  • The impact of conduction heat transmission in different shapes of annular fins [5], current conduction effect in multidimensional sizes [6], fins exposed to temperature-addicted heat flux [7], and dispersed transportation effect along the curly plaque consisting of circular slices [8] have been studied by the researchers

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Summary

INTRODUCTION

Many engineers and researchers have done a lot of work to increase the response problem in the fins and heat dissipation from a hot surface using fins in industrial applications. Yu and Chen [11] recommended the Taylor transform and limited difference approach to examine the non-linear temporary heat transmission problematic of the rectangular profile circular fin, taking into account the step temperature change occurring in the radiation wing tip and infinite base by convection. Suppose the solution of mathematical, physics, chemistry and engineering problems defined by differential equations is resolved in the Laplace space. In that case, it may be hard or even unbearable to gain an analytical translation into the time domain. After the general equations that make up the problem are obtained in the Laplace space, the results of the temperature change obtained by transporting them to the time space by the Gaver-Stehfest method are presented in graphs. It can be said that the results given in Ref.[16] and the results obtained here match exactly

TRANSIENT RESPONSE MATHEMATICAL MODEL OF A SPIRAL FIN
RESULTS
CONCLUSIONS
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