Abstract

The heat transfer problem of a zero-mean oscillatory flow of a Maxwell fluid between infinite parallel plates with boundary conditions of the third kind is considered. With these conditions, the amount of heat entering or leaving the system depends on the external temperature as well as on the convective heat transfer coefficient. The local and global time-averaged entropy production are computed, and the consequences of convective cooling of the plates are also assessed. It is found that the global entropy production is a minimum for certain suitable combination of the physical parameters. For a discrete set of values of the oscillatory Reynolds number, the extracted heat from one of the plates shows maxima.

Highlights

  • In energy conversion processes, the performance of real thermal devices is always affected by irreversible losses that lead to an increase of entropy and reduce the thermal efficiency

  • This paper is devoted to providing an analysis of the heat transfer problem of a zero-mean oscillatory flow of a Maxwell fluid between infinite parallel plates with thermal boundary conditions based on Newton’s law of cooling where the amount of heat entering or leaving the system depends on the external temperature as well as on the convective heat transfer coefficient

  • The amount of heat entering or leaving the system depends on the external temperature as well as on the convective heat transfer coefficient

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Summary

Introduction

The performance of real thermal devices is always affected by irreversible losses that lead to an increase of entropy and reduce the thermal efficiency. This paper is devoted to providing an analysis of the heat transfer problem of a zero-mean oscillatory flow of a Maxwell fluid between infinite parallel plates with thermal boundary conditions based on Newton’s law of cooling where the amount of heat entering or leaving the system depends on the external temperature as well as on the convective heat transfer coefficient. Such an analysis will hopefully shed some light on the heat transfer enhancement process. The emphasis is placed on the computation of the entropy generation for the system and its subsequent analysis [16]

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