Heat loss to the ground from a building—II. Slab on the ground

Hagentoft, Carl-Eric; Claesson, Johan

doi:10.1016/0360-1323(91)90066-k

Cited by 33 publications

(32 citation statements)

References 2 publications

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“…A frequent problem considered in the building and environment literature is the ground temperature field in the vicinity of a building; this is often set up as the boundary value problem in x > 0 as depicted in Figure 11 [9], [16]. The heat flux is specified across the floor of the building, and the temperature is specified exterior to the building.…”

Section: Heat Flow From Buildings and Ground Temperature Predictionmentioning

confidence: 99%

“…Indeed, such thermal front problems are of importance in a number of applications, including defect sizing [2], transient thermography [26], solar cell manufacturing [23], and thermal insulation [24], [9], [16]. Caflisch and Keller [5], Levine [19], and Satapathy and Sahoo [25] studied front propagation in thermal models with mixed boundary conditions but in the context of steady problems with applications in quenching.…”

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confidence: 99%

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Transient Thermal Mixed Boundary Value Problems in the Half-Space

Parnell¹,

Nguyen²,

Assier³

et al. 2016

SIAM J. Appl. Math.

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Abstract. The Wiener-Hopf and Cagniard-de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the half-space. The thermal field in the half-space is determined via a rapidly convergent integral, which can be evaluated straightforwardly and efficiently. Model problems are considered before the specific application areas of heat loss from buildings into the ground and cryology are described. 1. Introduction. Traditionally, significant interest has been shown in determining the disturbances generated when loads are applied on the surface of a half-space. Lamb [18] obtained the exact solution when an impulsive, concentrated load is applied along a line of the free surface of an isotropic linear elastic medium. De Hoop reappraised this problem [12], modifying the technique originally devised by Cagniard [6,7], leading to the now well-known Cagniard-de Hoop (CdH) technique. This method has been used widely since, allowing exact solutions to be obtained for a wide range of transient elasticity problems. The method can also be useful in order to render solutions into integral forms that are rapidly convergent when calculated numerically. Further, unsteady diffusion problems in the context of electromagnetism were considered by de Hoop and Oristaglio [13], who deduced integral solutions for the case of a line source on a plane between two semi-infinite media.Transient thermoelastic half-space problems were considered by Danilovskaya [11], Boley and Tolins [4], and Achenbach [1], but in these problems the forcing was such that the CdH technique was not required. The extension of these problems to inhomogeneous media was considered by Baczynski [3] and Parnell [22], and a purely thermal transient model, which employed the CdH method, was solved in [27]. The thermoelastic Lamb problem was studied by Nayfeh and Nemat-Nasser [20], who incorporated generalized thermoelasticity in order to retain a finite thermal wave speed, employing the CdH technique to determine the solution.All of the above problems are of fundamental importance in an array of applications where a number of alternative boundary conditions on the surface can arise. What appears to be lacking in the literature, however, are studies of transient prob-

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Section: Heat Flow From Buildings and Ground Temperature Predictionmentioning

confidence: 99%

mentioning

confidence: 99%

Transient Thermal Mixed Boundary Value Problems in the Half-Space

Parnell¹,

Nguyen²,

Assier³

et al. 2016

SIAM J. Appl. Math.

View full text Add to dashboard Cite

show abstract

“…The use of analytical methods gives far more accurate results for the heat losses to the ground from coupled structures. However, these solutions are restricted to simple geometries and linear heat conduction [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Effect of Floor Geometry on Building Heat Loss Via the Ground

Spiga

Vocale

2014

Heat Transfer Engineering

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This paper analyzes the heat loss from an insulated slab on the ground, focusing on the influence of floor geometry on thermal processes in the ground. The calculation model includes the vertical and horizontal structures of the building; the foundation is also included. A building with a rectangular floor is considered; the ratio between the sides of floor (defined as aspect ratio) changes from 0 to 1. The thermal analysis is carried out resorting to a finite element code, validated in accordance with the requirements of International Standard ISO 10211. Numerical results show that floor geometry has a significant influence on steady-state ground global heat transfer coefficient; ranging from a narrow rectangular floor to a square one the steady-state ground global heat transfer coefficient decreases by about 15%. The effects of the perimeter insulation are also investigated; depending on the insulating layer thickness, the decrease of the heat transfer coefficient ranges from 8% to 13%. A comparison with the results obtained by applying the International Standard method ISO 13370 is also presented.

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“…The heat flow process in the ground is generally transient, three-dimensional and boundary conditions are very complicated [1], [2], [6]. The main assumptions of recent methods up to the current standard [7] and their derivatives [8], [9] regarding heat exchange between a building and the ground are based on quasi-stationary method, presented in Part I of this article [12].…”

Section: Introductionmentioning

confidence: 99%

Comparison of the Calculations Results of Heat Exchange Between a Single-Family Building and the Ground Obtained with the Quasi-Stationary and 3-D Transient Models. Part 2: Intermittent and Reduced Heating Mode

Heat loss to the ground from a building—II. Slab on the ground

Cited by 33 publications

References 2 publications

Transient Thermal Mixed Boundary Value Problems in the Half-Space

Transient Thermal Mixed Boundary Value Problems in the Half-Space

Effect of Floor Geometry on Building Heat Loss Via the Ground

Comparison of the Calculations Results of Heat Exchange Between a Single-Family Building and the Ground Obtained with the Quasi-Stationary and 3-D Transient Models. Part 2: Intermittent and Reduced Heating Mode

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