Estimating magnetic field strength in a porous fin from a surface temperature response

Abstract

This Letter demonstrates a non‐destructive prediction methodology for determining the necessary magnetic field to be imposed in a porous fin satisfying a particular heat generation occurring within an electronic device. For the first time, all possible kinds of heat transfer have been incorporated here, which were otherwise ignored in other published studies of a similar kind. Just observing the surface thermal response, golden section search (GSS) solver, in conjunction with a forward numerical scheme, has been used in this work to determine the strength of the magnetic field. Estimations are done for various levels of additive white Gaussian noise and satisfactory reconstructions are noted for noise level even up to 12%. The numerical method has been convincingly validated with other schemes of the published literature. Sensitivity analysis reveals that the temperature distribution is per se a strong function of the fin porosity and governed by a mutual trade‐off between the heat generation rate and the imposed magnetic field. The results obtained from the present analysis using GSS are proposed to offer assistance to design efficient porous fin based heat transfer surfaces for providing safety and better cooling in addition to a considerable weight reduction of the system.

Quantification of thermal energy generation in annular hyperbolic porous-finned heat sinks using inverse optimization

“…satisfying a pre-defined bound), two more points to be tested are generated at a distance of (2 − δ) times that of the initial range from their previous approximations. For instance, corresponding to an initially approximated domain between X a and X b , two supplementary points (X p and X q ) are made with the aid of the following equations 25,29 :…”

“…satisfying a pre-defined bound), two more points to be tested are generated at a distance of false(2−δfalse) times that of the initial range from their previous approximations. For instance, corresponding to an initially approximated domain between X a and X b , two supplementary points ( X p and X q ) are made with the aid of the following equations 25,29 : Thereafter, the concerned objective functions related to the newly generated points ( X p , X q ) are obtained. If, Fp>Fq, then the section towards the left of X p (i.e.…”

“…However, such studies are restricted to simple geometries with constant thermo-fluidic parameters. 25 It is well established that amid the entire domain of annular fins with a tapered cross-section that is essential towards weight reduction, a hyperbolic profile is the most suitable geometry for heat exchanger tubes. 26 Such kinds of fin profiles are applied for heat transfer enhancement from tubes involving hot fluids to the outside cold fluids and are industrially relevant in liquid–gas heat exchangers of refrigeration and tanks of nuclear materials.…”

Guest Editorial: Non‐Destructive Testing

“…[12 ], by Siddiqui et al , proposes a numerical study on the applicability of P4 codes‐based pulse compression favourable thermal wave imaging approach for thermal NDT, while Ahmad et al study the applicability of Barker coded independent component thermography for testing and evaluation of deep subsurface defects in steel sample in [13 ]. In [14 ], Sharma et al propose an analytical approach for examining of the severity of osteoporosis using linear frequency modulated thermal wave imaging, and in [15 ] Das and Kundu estimate the magnetic field strength in a porous fin from a surface temperature response.…”

Analysis of heat transmission in convective, radiative and moving rod with thermal conductivity using meta-heuristic-driven soft computing technique

“…Most of the physical phenomena that emerge in the real world, especially the occurrence of heat and mass transfer under diverse effects, are well recognized and modeled as nonlinear differential equations (Das and Kundu 2020). In this regard, various numerical and analytical techniques are developed to study the temperature distribution.…”