Inverse radiation-conduction estimation of temperature-dependent emissivity using a combined method of genetic algorithmand conjugate gradient

Baghban, Mojtaba; Mansouri, S. H.; Shams, Zohreh

doi:10.1007/s12206-013-1139-y

Cited by 15 publications

(4 citation statements)

References 12 publications

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“…Next, the new particle distribution functions g i ðrþ ẽ i Dt; t þ DtÞ are calculated from Eq. (8) and then they are propagated to neighbouring lattices. Finally, the new temperature is computed from Eq.…”

Section: Heat Flux Boundary Conditionmentioning

confidence: 99%

“…LBM has lots of advantages such as providing a physical meaning of a problem, simple computer implementation as well as parallel programming, easy employing for complicated geometries and boundary conditions and accurate results [2,6,7]. Combined conduction and radiation heat transfer problems have been used in a variety of practical applications [8]. Among them, the flux boundary condition problems have been attended to in important fields of research such as the furnace design, solidification-melting of semitransparent materials, fire protection systems, porous materials, glass fabrication, electronic devises and power plants [9].…”

Section: Introductionmentioning

confidence: 99%

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Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM

Keshtkar

Talebizadehsardari

2018

Sādhanā

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In this paper, the effect of surface radiation in a square cavity containing an absorbing, emitting and scattering medium with four heated boundaries is investigated, numerically. Lattice Boltzmann method (LBM) is used to solve the energy equation of a transient conduction-radiation heat transfer problem and the radiative heat transfer equation is solved using finite-volume method (FVM). In this work, two different heat flux boundary conditions are considered for the east wall: a uniform and a sinusoidally varying heat flux profile. The results show that as the value of conduction-radiation decreases, the dimensionless temperature in the medium increases. Also, it is clarified that, for an arbitrary value of the conduction-radiation parameter, the temperature decreases with decreasing scattering albedo. It is observed that when the boundaries reflect more, a higher temperature is achieved in the medium and on boundaries.

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Section: Heat Flux Boundary Conditionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM

Keshtkar

Talebizadehsardari

2018

Sādhanā

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“…Based on the conjugate gradient method, the following iteration process is used for the estimation of q″(t) [54]:…”

Section: Conjugate Gradient Methodsmentioning

confidence: 99%

Estimation of surface heat flux in a one-dimensional hyperbolic bio-heat conduction problem with temperature-dependent properties during thermal therapy

Baghban

Ayani

2016

J Braz. Soc. Mech. Sci. Eng.

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Objective function k Thermal conductivity, W/m °C L Length, m M Number of nodes at spatial coordinate N Number of temporal measurements q ′′ (t) Surface heat flux, W/m 2 q m Metabolic heat generation, W/m 3 T (x, t) Temperature, °C �T (x, t) Sensitivity problem, °C t Temporal coordinate, s W (T ) Convective heat exchange with blood flow, W/m 3 x Spatial coordinate, m Y (t) Measured temperature, °C Greek symbols β Search step size γ Conjugate coefficient δ Dirac delta function ε Convergence criterion ζ Transformed time coordinate, s (x, t) Adjoint function µ Random variable ρ Density, kg/m 3 σ Standard deviation of the measurement errors τ Thermal relaxation time, s ω Perfusion rate of blood, m 3 /s/m 3 Subscript b Blood c Conduction heat transfer es Estimated value ex Exact value f Final value initial Initial value

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“…Several optimization methods have been extensively developed to solve this problem, such as gradient method [20], conjugate gradient method [21], [22], Levenberg-Marquardt method (LM) [18], [23], Cao method [24], and Lanbweber method [25]. The basic concept of these optimization methods is to update h for each iteration via the gradient of cost function or the value of cost function.…”

Section: Identification Of Unknown Parameters In Continuous Castmentioning

confidence: 99%

GPU-Based Model Predictive Control of Nonlinear Parabolic Partial Differential Equations System and Its Application in Continuous Casting

2019

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Temperature control of steel billets plays an important role in the quality of steel billets. This paper was motivated by the necessity for setting a value of spray cooling water flow with regard to the accuracy, fast applicability to real-time optimization, and capability of non-steady operation scenarios, especially for the change of casting speed. Therefore, this paper is focused on the GPU-based model predictive control (MPC) for temperature control of steel billets. The system dynamics in MPC is a heat transfer model characterized by the nonlinear parabolic partial differential equations (PDEs). This paper presented two algorithms. First, an adaptive trust-region Levenberg-Marquardt method (ATR-LM) based on the measured surface temperature is presented to estimate the unknown parameters in the heat transfer model. The corresponding experimental results indicate that the presented method can reduce the iteration time. Second, for the purpose of satisfying the real-time requirement, the stream parallel sparse Jacobian method (SP-SJ) is presented to solve the dynamic optimization problem associated with the PDEs. The corresponding experimental results show that the presented method exhibits satisfactory computational performance and achieves satisfactory control performance. INDEX TERMS MPC, PDEs, graphic processing unit (GPU), parallel computation, continuous casting.

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Inverse radiation-conduction estimation of temperature-dependent emissivity using a combined method of genetic algorithmand conjugate gradient

Cited by 15 publications

References 12 publications

Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM

Investigation of transient conduction–radiation heat transfer in a square cavity using combination of LBM and FVM

Estimation of surface heat flux in a one-dimensional hyperbolic bio-heat conduction problem with temperature-dependent properties during thermal therapy

GPU-Based Model Predictive Control of Nonlinear Parabolic Partial Differential Equations System and Its Application in Continuous Casting

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