Convective Heat Conduction in Anisotropic FGMs: A Numerical Simulation

Mohammad Ivan Azis; Adi Maulana; Muh Nur

doi:10.37934/arnht.31.1.104125

Convective Heat Conduction in Anisotropic FGMs: A Numerical Simulation

Mohammad Ivan Azis, Adi Maulana, Muh Nur

Universitas Hasanuddin

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A combination of the Laplace transform (LT) and domain-boundary element method (DBEM) was employed to find numerical solutions for an unsteady diffusion-convection (DC) equation with spatial and temporal coefficients, considering arbitrary initial conditions and source terms. This method addresses problems in a unique class of anisotropic functionally graded materials (FGMs). The procedure involves converting the variable coefficient equation to a constant coefficient equation, Laplace transform and then deriving a domain-boundary integral equation. Numerical solutions were obtained using the standard domain-boundary element method and the Stehfest algorithm. This study examines cases involving compressible or incompressible flows, showcasing the precision of the numerical solutions.

Original language	English
Pages (from-to)	104-125
Number of pages	22
Journal	Journal of Advanced Research in Numerical Heat Transfer
Volume	31
Issue number	1
DOIs	https://doi.org/10.37934/arnht.31.1.104125
Publication status	Published - 1 Apr 2025

Keywords

Anisotropic functionally graded materials
arbitrary initial condition
compressible and incompressible flow
integral equation method
laplace transform
source term
unsteady diffusion convection equation

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10.37934/arnht.31.1.104125

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title = "Convective Heat Conduction in Anisotropic FGMs: A Numerical Simulation",

abstract = "A combination of the Laplace transform (LT) and domain-boundary element method (DBEM) was employed to find numerical solutions for an unsteady diffusion-convection (DC) equation with spatial and temporal coefficients, considering arbitrary initial conditions and source terms. This method addresses problems in a unique class of anisotropic functionally graded materials (FGMs). The procedure involves converting the variable coefficient equation to a constant coefficient equation, Laplace transform and then deriving a domain-boundary integral equation. Numerical solutions were obtained using the standard domain-boundary element method and the Stehfest algorithm. This study examines cases involving compressible or incompressible flows, showcasing the precision of the numerical solutions.",

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author = "Azis, \{Mohammad Ivan\} and Adi Maulana and Muh Nur",

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TY - JOUR

T1 - Convective Heat Conduction in Anisotropic FGMs

T2 - A Numerical Simulation

AU - Azis, Mohammad Ivan

AU - Maulana, Adi

AU - Nur, Muh

PY - 2025/4/1

Y1 - 2025/4/1

N2 - A combination of the Laplace transform (LT) and domain-boundary element method (DBEM) was employed to find numerical solutions for an unsteady diffusion-convection (DC) equation with spatial and temporal coefficients, considering arbitrary initial conditions and source terms. This method addresses problems in a unique class of anisotropic functionally graded materials (FGMs). The procedure involves converting the variable coefficient equation to a constant coefficient equation, Laplace transform and then deriving a domain-boundary integral equation. Numerical solutions were obtained using the standard domain-boundary element method and the Stehfest algorithm. This study examines cases involving compressible or incompressible flows, showcasing the precision of the numerical solutions.

AB - A combination of the Laplace transform (LT) and domain-boundary element method (DBEM) was employed to find numerical solutions for an unsteady diffusion-convection (DC) equation with spatial and temporal coefficients, considering arbitrary initial conditions and source terms. This method addresses problems in a unique class of anisotropic functionally graded materials (FGMs). The procedure involves converting the variable coefficient equation to a constant coefficient equation, Laplace transform and then deriving a domain-boundary integral equation. Numerical solutions were obtained using the standard domain-boundary element method and the Stehfest algorithm. This study examines cases involving compressible or incompressible flows, showcasing the precision of the numerical solutions.

KW - Anisotropic functionally graded materials

KW - arbitrary initial condition

KW - compressible and incompressible flow

KW - integral equation method

KW - laplace transform

KW - source term

KW - unsteady diffusion convection equation

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DO - 10.37934/arnht.31.1.104125

M3 - Article

AN - SCOPUS:105001538686

SN - 2735-0142

VL - 31

SP - 104

EP - 125

JO - Journal of Advanced Research in Numerical Heat Transfer

JF - Journal of Advanced Research in Numerical Heat Transfer

IS - 1

ER -

Convective Heat Conduction in Anisotropic FGMs: A Numerical Simulation

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