Distribution of Temperature in Multicomponent Multilayered Composites

Wagrowska, M.; Szlachetka, Olga

doi:10.1007/978-3-319-28241-1_14

Cited by 7 publications

(7 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A limit pass to a one-component body within the framework of this model was not possible (Wągrowska & Szlachetka, 2016b). The term of an oscillating micro-shape function for heat conduction problems, introduced by Woźniak (2012Woźniak ( , 2013, makes it possible to describe the periodic multilayered composites made of many components.…”

Section: Discussionmentioning

confidence: 99%

“…The basic concept for modelling of heat conduction in multicomponent composites was presented by Woźniak (2012Woźniak ( , 2013 and applied for periodic structures by Wągrowska and Woźniak (2014), Szlachetka and Wągrowska (2015), Wągrowska and Szlachetka (2016b) and for composites with transversal gradation by Szlachetka and Wągrowska (2016), Wągrowska and Szlachetka (2016a). The basic difference between the modelling of multicomponent composites and the modelling of two-component composites is the new form of the shape function which is called an oscillating micro-shape function.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Elastostatic problems in multicomponent, multilayered periodic composites

Wagrowska

Bagdasaryan

Szlachetka

2018

Przegląd Naukowy Inżynieria I Kształtowanie Środowiska

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elastostatic problems in multicomponent, multilayered periodic composites

Wagrowska

Bagdasaryan

Szlachetka

2018

Przegląd Naukowy Inżynieria I Kształtowanie Środowiska

Self Cite

View full text Add to dashboard Cite

show abstract

“…Due to its cellular structure, a bundle of bars (an example of which is presented in Figure 1 ) is a granular two-phase medium, where one phase is steel and the other phase is gas, which fills in spaces that occur between individual bars. For this reason, the basic thermal property of a charge is the effective thermal conductivity k ef , which is commonly used in the theory of porous [ 2 , 3 ] and nonhomogeneous [ 4 , 5 , 6 ] media. Knowledge of the value of this coefficient is necessary to determine the heating time of the heat-treated bars [ 7 , 8 ].…”

Section: Introductionmentioning

confidence: 99%

On Determination of the Effective Thermal Conductivity of a Bundle of Steel Bars Using the Krischer Model and Considering Thermal Radiation

2021

View full text Add to dashboard Cite

Cellular solid materials are commonly found in industrial applications. By definition, cellular solids are porous materials that are built of distinct cells. One of the groups of such materials contains metal foams. Another group of cellular metals contains bundles of steel bars, which create charges during the heat treatment of the bars. A granular structure connected by the lack of continuity of the solid phase is the main feature that distinguishes bundles from metal foams. The boundaries of the bundle cells are made of adjacent bars, with the internal region taking the form of an air cavity. In this paper, we discuss the possibility of using the Krischer model to determine the effective thermal conductivity of heat-treated bundles of steel bars based on the results of experimental tests and calculations. The model allows the kef coefficient to be precisely determined, although it requires the weighting parameter f to be carefully matched. It is shown that the value of f depends on the bar diameter, while its changes within the examined temperature range (25–800 °C) can be described using a third-degree polynomial. Determining the coefficients of such a polynomial is possible only when the effective thermal conductivity of the considered charge is known. Moreover, we analyze a simplified solution, whereby a constant value of the f coefficient is used for a given bar diameter; however, the kef values obtained thanks to this approach are encumbered with inaccuracy amounting to several dozen percentage points. The obtained results lead to the conclusion that the Krischer model cannot be used for the discussed case.

show abstract

“…It is possible to simplify this description considerably by introducing the notion of the effective thermal conductivity kef. This parameter is commonly used in the theory of porous [6][7][8] and nonhomogeneous [9][10][11] media. By using the effective thermal conductivity it is possible to describe a transient heat transfer within a bundle of bars [12].…”

Section: Introductionmentioning

confidence: 99%

Analysing the Contact Conduction Influence on the Heat Transfer Intensity in the Rectangular Steel Bars Bundle

et al. 2021

View full text Add to dashboard Cite

Bundles of steel bars, besides metal foams, are an example of cellular solids. Such bundles constitute a charge during the heat treatment of bars. The paper presents a mathematical model of transient heat transfer in a bundle of rectangular steel bars based on the energy balance method. The key element of this model is the procedure of determining the effective thermal conductivity using the electrical analogy. Different mechanisms of heat transfer occurring within the analysed medium (conduction in steel and contact conduction) are assigned corresponding thermal resistances. The discussed procedure involves expressing these resistances with the use of arithmetic relationships describing their changes in the temperature function. Thermal contact resistance has been described with the use of the relationships determined experimentally. As a result of the performed calculations, the influence of contact conduction between the adjacent bars and bundle arrangement on its heating time was established. The results of the calculations show that the heating time of bundles can be lowered by 5–40% as a result of a decrease in the thermal contact resistance. This effect depends on the bar size and bundle arrangement. From the practical point of view, the analysed problem is connected with the optimization of the heat treatment processes of steel bars.

show abstract

Distribution of Temperature in Multicomponent Multilayered Composites

Cited by 7 publications

References 14 publications

Elastostatic problems in multicomponent, multilayered periodic composites

Elastostatic problems in multicomponent, multilayered periodic composites

On Determination of the Effective Thermal Conductivity of a Bundle of Steel Bars Using the Krischer Model and Considering Thermal Radiation

Analysing the Contact Conduction Influence on the Heat Transfer Intensity in the Rectangular Steel Bars Bundle

Contact Info

Product

Resources

About