Scale analysis and accurate correlations for some Dirichlet problems involving annular disc

Laraqi, Najib

doi:10.1016/j.ijthermalsci.2011.05.010

Cited by 7 publications

(2 citation statements)

References 15 publications

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“…The bond graph method can be extended to multidimensional heat conduction problems applied to the thermal constriction phenomenon [18][19][20][21][22][23][24]. Two kinds of problems, regarding boundary conditions, were selected: The first heat conduction problem involves two different convective conditions at each boundary surface of the wall which symbolizes a roof or a vertical wall in a building.…”

Section: Discussionmentioning

confidence: 99%

Pseudo-Bond Graph model for the analysis of the thermal behavior of buildings

2013

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In this work, a simplified graphical modeling tool, which in some extent can be considered in halfway between detailed physical and Data driven dynamic models, has been developed. This model is based on Bond Graphs approach. This approach has the potential to display explicitly the nature of power in a building system, such as a phenomenon of storage, processing and dissipating energy such as Heating, Ventilation and Air-Conditioning (HVAC) systems. This paper represents the developed models of the two transient heat conduction problems corresponding to the most practical cases in building envelope, such as the heat transfer through vertical walls, roofs and slabs. The validation procedure consists of comparing the results obtained with this model with analytical solution. It has shown very good agreement between measured data and Bond Graphs model simulation. The Bond Graphs technique is then used to model the building dynamic thermal behavior over a single zone building structure and compared with a set of experimental data. An evaluation of indoor temperature was carried out in order to check our Bond Graphs model

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Section: Discussionmentioning

confidence: 99%

Pseudo-Bond Graph model for the analysis of the thermal behavior of buildings

2013

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“…The obtained solution is also under Fredholm's integral equation form. The kernel of this integral equations beginning Laraqi [14] has interested in two different Dirichlet problems: (1) an annular disc subjected to a Dirichlet condition, with a uniform temperature, when the remainder is insulated, and (2) an isothermal annular disc, with zero temperature, when the inner surface is subjected to a uniform heat flux and the outer surface is insulated. The authors proposed a method to determine the resistance through the annulus.…”

Section: Introductionmentioning

confidence: 99%

New analytical solution for solving steady-state heat conduction problems with singularities

Laraqi¹,

Monier-Vinard

2013

THERM SCI

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A problem of steady-state heat conduction which presents singularities is solved in this paper by using the conformal mapping method. The principle of this method is based on the Schwarz-Christoffel transformation. The considered problem is a semi-infinite medium with two different isothermal surfaces separated by an adiabatic annular disc. We show that the thermal resistance can be determined without solving the governing equations. We determine a simple and exact expression that provides the thermal resistance as a function of the ratio of annular disc radii

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