An iterative FDM/BEM method for the conjugate heat transfer problem — parallel plate channel with constant outside temperature

He, Mengyuan; Kassab, Alain J.; Bishop, P J; Minardi, A.

doi:10.1016/0955-7997(95)00007-b

Cited by 20 publications

(8 citation statements)

References 7 publications

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“…The fluid temperature field, and the boundary temperature and heat flux distribution of solid region are solved by following steps [26,27]:…”

Section: The Direct Problem Of Fluid-solid Conjugated Heat Transfermentioning

confidence: 99%

Fuzzy estimation for unknown boundary shape of fluid-solid conjugate heat transfer problem

Chen

Cao

Wang

et al. 2016

International Journal of Thermal Sciences

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“…The fluid temperature field, and the boundary temperature and heat flux distribution of solid region are solved by following steps [26,27]:…”

Section: The Direct Problem Of Fluid-solid Conjugated Heat Transfermentioning

confidence: 99%

Fuzzy estimation for unknown boundary shape of fluid-solid conjugate heat transfer problem

Chen

Cao

Wang

et al. 2016

International Journal of Thermal Sciences

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“…The BEM is used to solve solid heat conduction problem. He et al [13,14], M He et al [15], Kontinos [16], Rahaim and Kassab [17] and Rahaim et al [18] adopted this conjugate heat transfer analysis method to solve different coupled problems. Kassab et al [19] reported on the coupling of the BEM method with the Glenn-HT code.…”

Section: Introductionmentioning

confidence: 98%

BEM/FDM conjugate heat transfer analysis of a two-dimensional air-cooled turbine blade boundary layer

et al. 2008

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A coupled boundary element method (BEM) and finite difference method (FDM) are applied to solve conjugate heat transfer problem of a two-dimensional air-cooled turbine blade boundary layer. A loosely coupled strategy is adopted, in which each set of field equations is solved to provide boundary conditions for the other. The Navier-Stokes equations are solved by HIT-NS code. In this code, the FDM is adopted and is used to resolve the convective heat transfer in the fluid region. The BEM code is used to resolve the conduction heat transfer in the solid region. An iterated convergence criterion is the continuity of temperature and heat flux at the fluid-solid interface. The numerical results from the BEM adopted in this paper are in good agreement with the results of analytical solution and the results of commercial code, such as Fluent 6.2. The BEM avoids the complicated mesh needed in other computation method and saves the computation time. The results prove that the BEM adopted in this paper can give the same precision in numerical results with less boundary points. Comparing the conjugate results with the numerical results of an adiabatic wall flow solution, it reveals a significant difference in the distribution of metal temperatures. The results from conjugate heat transfer analysis are more accurate and they are closer to realistic thermal environment of turbines.

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“…He uses independent meshes and to transfer the information across the solid-fluid interface an interpolation procedure is applied. He et al 8 make use of a FDM/BEM coupled procedure, Finite Difference and Boundary Elements Methods. In their procedure the code initially solves the flow field along with an adiabatic condition on the fluid-solid interface.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on heat transfer in aeronautical systems by CHT methods

Carozza

2016

46th AIAA Thermophysics Conference

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The purpose of this paper is to show the results of the application of the CHT method to an aeronautical configuration of interest. To perform these analyses the three heat transfer mechanisms, conduction, radiation and convection, were considered joining the solutions of the solid and fluid regions at the interface. Numerically, the two domains are treated separately in a first moment and then, at the end of each iteration, they are coupled by imposing the equivalence of the gradients. Conductive walls where the Fourier heat flux is considered only in direction normal to the wall, are used. The fluid domain is studied, instead, by a finite volume, implicit and second order accurate code. After a preliminary study carried out on a 2D square cavity, a new generation turboprop nacelle built with three different metallic materials has been taken into consideration. Particular attention has been paid to the thermal fields and the heat exchange rates achieved on the skin both in cruise (T ∞ =253 ̶ 273 K; P ∞ =72500 Pa) and in idle (T ∞ =273 ̶ 293 K; P ∞ =101325 Pa). The results show how the CHT approach in the aerodynamic investigations can affect the aerodynamic predictions in not negligible manner. Indeed, the thermal conductivity plays a relevant role on the internal convective and radiative heat transfer on the single walls. Nomenclature κ = kinetic energy [m 2 s -2 ] µ = dynamic viscosity [N s m -2 ] ε = dissipation rate [s -1 ] α = thermal diffusivity [m 2 s -1 ] ε r = surface emissivity ρ = density [kg m -3 ] ν = kinematic viscosity [m 2 s -1 ] τ = stress tensor [Pa] T = Temperature [K] p = pressure [Pa] CHT = Conjugated Heat Transfer k = thermal conductivity [W m -2 K -1 ] k r = solid to fluid thermal conductivity ratio, = k s /k f q = heat flux [W m -2 ] ϑ =non dimensional temperature, = ∆T × k f /qH Subscripts c = convective f = fluid h = hot wall k = conductive i,j = i th and j th subdivisions o = opening r = radiative s = solid t = total ∞ = ambient p = pressure 0 =starting

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An iterative FDM/BEM method for the conjugate heat transfer problem — parallel plate channel with constant outside temperature

Cited by 20 publications

References 7 publications

Fuzzy estimation for unknown boundary shape of fluid-solid conjugate heat transfer problem

Fuzzy estimation for unknown boundary shape of fluid-solid conjugate heat transfer problem

BEM/FDM conjugate heat transfer analysis of a two-dimensional air-cooled turbine blade boundary layer

Numerical study on heat transfer in aeronautical systems by CHT methods

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