THERMAL PERFORMANCE ANALYSIS OF CONVECTIVE-RADIATIVE FIN WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY IN THE PRESENCE OF UNIFORM MAGNETIC FIELD USING PARTIAL NOETHER METHOD

Year 2018, Volume: 4 Issue: 5, 2287 - 2302, 25.06.2018

M. G. Sobamowo

https://doi.org/10.18186/thermal.438485

Cited By: 9

Abstract

In this paper, thermal
performance of convective-radiative straight fin with temperature-dependent
thermal conductivity in the presence of uniform magnetic field is analyzed
using partial Noether method. The exact analytical solution is used to
investigate the effects of magnetic field, convective, radiative,
thermo-geometric and thermal conductivity (non-linear) parameters on the
thermal performance of the fin.
The results reveal that as the magnetic, convective
and radiative parameters increase, the temperature of the fin decreases rapidly
and by implication, the rate of heat transfer through the fin increases.
The study provides a platform for comparison of results of any other method of
analysis of the problem with the results of the exact analytical solutions in
this paper. Also, such an analytical tool is valuable as a design and
optimization approach for large scale (not necessarily in size) finned heat
exchangers where each fin/row are analytically analyzed and where the
surrounding fluid is influenced by a magnetic field.

Keywords

Thermal Performance, Convective-Radiative Fin, Partial Noether Method, Temperature-Dependent Thermal Conductivity, Magnetic Field

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