2014
DOI: 10.1080/01457632.2013.876866
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Three-Parameter Estimation Study in a Radial Fin Geometry Using FDM-Based Simplex Method

Abstract: Estimation of three parameters is done in a conductive-convective radial fin from the knowledge of steady-state temperature distribution. The three parameters are the thermal conductivity, the inner radius, and the thickness of the fin. In order to demonstrate the estimation methodology, using some known values of these three parameters, a forward problem using the finite-difference method (FDM) is solved to obtain the required temperature field. Using this temperature distribution, next an inverse method base… Show more

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Cited by 11 publications
(3 citation statements)
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“…Moreover, the Adomian Decomposition Method (ADM) was used to address nonlinear governing differential equations for rectangular fins, accounting for temperature-dependent thermal conductivity and internal heat generation 9) . Finite-Difference Method (FDM) was considered in order to obtain the required temperature field 10) . Additionally, Finite Element Method (FEM) optimization was conducted for coil springs in automobile suspensions, comprising different material types 11),12) .…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, the Adomian Decomposition Method (ADM) was used to address nonlinear governing differential equations for rectangular fins, accounting for temperature-dependent thermal conductivity and internal heat generation 9) . Finite-Difference Method (FDM) was considered in order to obtain the required temperature field 10) . Additionally, Finite Element Method (FEM) optimization was conducted for coil springs in automobile suspensions, comprising different material types 11),12) .…”
Section: Introductionmentioning
confidence: 99%
“…Chen et al [21] have estimated the convective heat transfer coefficient of an annular fin using CGM, whereas Peng et al [22] have used the particle swarm algorithm for studying plate-fin heat exchangers. Das in [23,24] respectively, used the genetic algorithm (GA) and the simplex search method for inverse heat transfer analyses of cylindrical fin. For rectangular fin geometry, the application of the simulated annealing and the differential evolution (DE) has been done by Das and Ooi [25] and Bhowmik et al [26], respectively.…”
Section: Introductionmentioning
confidence: 99%
“…Such type of analysis is referred to as the forward/direct analysis [5] and solutions to such type of problems are normally unique. However, the case becomes interestingly different and relatively intricate when the task is to estimate important unknown parameters which can satisfy a particular requirement and such types of problems are classified as inverse problems in which solutions are not necessarily unique [6][7][8][9]. In other words, many feasible combinations of unknown parameters conforming to a given condition may exist, thus such problems are relevant to the design of engineering systems [10,11].…”
Section: Introductionmentioning
confidence: 99%