Retrieval of thermal properties in a transient conduction–radiation problem with variable thermal conductivity

Das, Ranjan; Mishra, Subhash C.; Uppaluri, R.

doi:10.1016/j.ijheatmasstransfer.2008.12.009

Cited by 47 publications

(37 citation statements)

References 20 publications

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“…This scaling technique is taken from Das et al [52] and Wang et al [53] for the case of simulating a variable thermal conductivity in LBM. Also, the parameters of c p , β and L f should be replaced with (c p ) nf , β nf and L nf in the corresponding equations in previous section.…”

Section: Nanofluid Treatment With Lbmmentioning

confidence: 99%

RETRACTED ARTICLE: Melting of nanoparticles-enhanced phase change material (NEPCM) in vertical semicircle enclosure: numerical study

Jourabian

Farhadi

2015

J Mech Sci Technol

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Convection melting of ice as a Phase change material (PCM) dispersed with Cu nanoparticles, which is encapsulated in a semicircle enclosure is studied numerically. The enthalpy-based Lattice Boltzmann method (LBM) combined with a Double distribution function (DDF) model is used to solve the convection-diffusion equation. The increase in solid concentration of nanoparticles results in the enhancement of thermal conductivity of PCM and the decrease in the latent heat of fusion. By enhancing solid concentration of nanoparticles, the viscosity of nanofluid increases and convective heat transfer dwindles. For all Rayleigh numbers investigated in this study, the insertion of nanoparticles in PCM has no effect on the average Nusselt number.

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Section: Nanofluid Treatment With Lbmmentioning

confidence: 99%

RETRACTED ARTICLE: Melting of nanoparticles-enhanced phase change material (NEPCM) in vertical semicircle enclosure: numerical study

Jourabian

Farhadi

2015

J Mech Sci Technol

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“…There exist several approaches to solve Eq. (1a), among them: orthogonal collocation method [6], Green function method [9], perturbation method [8,10,11], variational iteration method [8], homotopy-perturbation method [8], direct variational method [12], the least squares method [13], Networks models [14], iterative solutions with the solution of the linear problem as initial approximation [15], Finite difference solutions [5], Lattice Boltzmann method [16], numerical solutions [17], etc.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The procedure described by (16) addresses the preliminary treatment of the data related to a particular material and requires the numerical data to be presented in the form…”

Section: Scaling and Governing Equationsmentioning

confidence: 99%

On the integral-balance approach to the transient heat conduction with linearly temperature-dependent thermal diffusivity

Fabre

Hristov

2016

Heat Mass Transfer

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relationship (Eqs. 9, 10) (m 2 /s) bCoefficient in Eq. (24b) which should be defined trough the initial condition δ (t = 0) = 0 C p Specific heat capacity (J/kg) E L (n, β, t) Squared-error function in accordance with the Langford criterion (Eq. 34) E LT (n, β, t) Squared-error function in accordance with the Langford criterion (Eq. 35) E Mq (p, β, t) Squared-error function in accordance with the Langford criterion and fixed flux BC problem (Eq. 76) e LT (n, β, t) Squared-error sub-function in accordance with the Langford criterion (Eq. 35) e Lq (p, β) Squared-error sub-function in accordance with the Langford criterion and the fixed flux BC problem k Thermal conductivity (W/mK) k (T) Temperature-dependent thermal conductivity (W/mK) k 0 Thermal conductivity of the linear problem (β = 0) (W/mK) m Dimensionless parameter of the nonlinearity (power-law diffusivity) n Dimensionless exponent of the parabolic profile p Dimensionless exponent of the parabolic profile of the assumed profile used to solve Eq. (48) (m) Abstract Closed form approximate solutions to nonlinear transient heat conduction with linearly temperaturedependent thermal diffusivity have been developed by the integral-balance integral method under transient conditions. The solutions uses improved direct approaches of the integral method and avoid the commonly used linearization by the Kirchhoff transformation. The main steps in the new solutions are improvements in the integration technique of the double-integration technique and the optimization of the exponent of the approximate parabolic profile with unspecified exponent. Solutions to Dirichlet and Neumann boundary condition problems have been developed as examples by the classical Heat-balance integral method (HBIM) and the Double-integration method (DIM). Additional examples with HBIM and DIM solutions to cases when the Kirchhoff transform is initially applied have been developed. List of symbolsThermal diffusivity (m 2 /s) a 0 Thermal diffusivity of the linear problem (β = 0) (m 2 /s) a p Thermal diffusivity coefficient in the case of power-law non-linear

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“…For many thermal devices, these quantities are known, and thermal analyses of such devices are, therefore, relatively less involved. However, in varieties of heat transfer problems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], one or more of the quantities such as medium properties, initial condition and boundary conditions remain unknown. Determination of these unknown quantities relies on experiments as well as numerical methodologies involving an inverse method.…”

Section: Introductionmentioning

confidence: 99%

Inverse analysis applied to retrieval of parameters and reconstruction of temperature field in a transient conduction–radiation heat transfer problem involving mixed boundary conditions

Das

Mishra

Uppaluri

2010

International Communications in Heat and Mass Transfer

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Retrieval of thermal properties in a transient conduction–radiation problem with variable thermal conductivity

Cited by 47 publications

References 20 publications

RETRACTED ARTICLE: Melting of nanoparticles-enhanced phase change material (NEPCM) in vertical semicircle enclosure: numerical study

RETRACTED ARTICLE: Melting of nanoparticles-enhanced phase change material (NEPCM) in vertical semicircle enclosure: numerical study

On the integral-balance approach to the transient heat conduction with linearly temperature-dependent thermal diffusivity

Inverse analysis applied to retrieval of parameters and reconstruction of temperature field in a transient conduction–radiation heat transfer problem involving mixed boundary conditions

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