An inverse analysis of a transient 2-D conduction–radiation problem using the lattice Boltzmann method and the finite volume method coupled with the genetic algorithm

Inverse Convection–Radiation Boundary Design Problem of Recess Flow with Different Conditions

“…The foregoing studies are called direct method which means all of the boundary conditions and fluid flow properties are specified as input data to find medium temperature and wall heat flux distributions, whereas in inverse method, boundary conditions or fluid flow properties could be unknown and must be found. Inverse analysis can be applied to estimate boundary conditions, heat source distribution, temperature field and so on in combined modes of heat transfer (Hosseini Sarvari et al 2003;Sarvari 2005;Das et al 2008;Daouas et al 2008;Zhou et al 2012;Zhang et al 2013). Many investigators used optimization methods such as conjugate gradient and Levenberg-Marquardt to find unknown strength of heater surface of enclosures with free convection and radiation (Payan and Sarvari 2010;Hong et al 2010;Moufekkir et al 2012;Mosavati et al 2013;Moghadassian and Kowsary 2014).…”

A Concept of Discretization Error Indicator for Simulating Thermal Radiation by Finite Volume Method Based on an Entropy Generation Approach

“…FTn method is used to predict TR characteristics for a 3D complex industrial boiler with non-gray media (Borjini et al, 2007). FVM is applied with Lattice Boltzmann method in a transient 2D coupled conductionradiation problem by an inverse analysis (Das et al, 2008). Combined mixed convectionradiation heat transfer is dealt with by a FVM (Farzad & Shahini, 2009).…”

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

“…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.…”

“…They used the FVM for the solution of the energy equation. Das et al [16][17][18][19] have extended the inverse analysis using the lattice Boltzmann method (LBM)-FVM in conjunction with the GA. They have solved conduction and/or radiation problems involving 1-D and 2-D Cartesian geometry [16,17], cylindrical geometry [18] and conduction-radiation problem involving variable thermal conductivity [19] in a planar medium.…”

“…Das et al [16][17][18][19] have extended the inverse analysis using the lattice Boltzmann method (LBM)-FVM in conjunction with the GA. They have solved conduction and/or radiation problems involving 1-D and 2-D Cartesian geometry [16,17], cylindrical geometry [18] and conduction-radiation problem involving variable thermal conductivity [19] in a planar medium. From the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], it has been observed that an inverse method has not been applied to a combined mode conductionradiation problem that deal with two types of boundary conditions and one of the objectives remains to simultaneously estimate of one of the unknown boundary conditions and a boundary property.…”