Untitled

Attetkov, A. V.; Volkov, I. K.; Tverskaya, E. S.

doi:10.1023/a:1013960719066

Cited by 13 publications

(6 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3. Partly Comparison of the obtained results with the data of [17] leads one to conclude that the pattern of the dependences in Figs. 2 and 3 will exhibit no fundamental changes if a concentrated (circular) heat flux (7) is replaced by a spatially distributed (of Gaussian intensity) flux.…”

Section: Resultsmentioning

confidence: 57%

“…2 and 3 will exhibit no fundamental changes if a concentrated (circular) heat flux (7) is replaced by a spatially distributed (of Gaussian intensity) flux. Therefore, the characteristic feature of stationary temperature field may be associated only with the pattern of the dependence of the steady-state temperature of the most heated point of the cooled wall on the wall thickness H. Because the difficulties associated with the analytical investigation of this dependence are known [17], we will restrict ourselves to analysis of computational experiment. (Fig.…”

Section: Resultsmentioning

confidence: 99%

“…(16) The solutions of Eqs. (12) and (13) may be represented as [17] , 0 < x < H; (17) , -ε < x < 0 (18) and must satisfy both boundary conditions (14) and (16) and conjugation conditions (15). This leads to the following set of linear algebraic equations for finding the functionals c ij (p, s), i, j ∈ {1, 2}: (19) In determining the functionals c ij (p, s), i, j ∈ {1, 2} which satisfy the set of equations (19), we derive the solution of the problem on the determination of the temperature field in the wall being treated in images of integral Laplace (9) and Hankel (10) and (11) transforms, as follows directly from equalities (17) and (18).…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…In theoretical investigations, much attention is given to spatially distributed (with Gaussian intensity) and concentrated axisymmetric heat fluxes [10,[13][14][15][16][17]. For the mode with the affecting axisymmetric heat flux of Gaussian intensity, conditions have been determined which are sufficient for the existence of optimal thicknesses of a cooled wall [16] and of a cooled wall with a coating [17], which provide for the minimal steady-state temperature of the most heated point of the wall.…”

Section: Introductionmentioning

confidence: 99%

“…For the mode with the affecting axisymmetric heat flux of Gaussian intensity, conditions have been determined which are sufficient for the existence of optimal thicknesses of a cooled wall [16] and of a cooled wall with a coating [17], which provide for the minimal steady-state temperature of the most heated point of the wall. Concentrated heat fluxes with the power density distributed in the zone of heating under a preassigned law differ fundamentally from spatially distributed fluxes, and this must cause specific features of the stationary temperature field being formed in the cooled wall under local heating.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

The Optimal Thickness of a Cooled Wall with a Coating under Local Pulse-Periodic Heating

2005

Self Cite

View full text Add to dashboard Cite

Characteristic features are investigated of the stationary temperature field in a flat isotropic wall with a heat-shielding coating; the wall is cooled by the environment and subjected to a local pulse-periodic thermal effect. The possibility is found of the existence of the optimal thickness of the wall being treated, which provides for the minimal steady-state temperature of the most heated point of the wall.

show abstract

Section: Resultsmentioning

confidence: 57%

Section: Resultsmentioning

confidence: 99%

Section: Methods Of Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The Optimal Thickness of a Cooled Wall with a Coating under Local Pulse-Periodic Heating

2005

Self Cite

View full text Add to dashboard Cite

show abstract

Topology optimization of non-Fourier heat conduction problems considering global thermal dissipation energy minimization

Zhao

Wang

Tie-zhu

et al. 2021

Struct Multidisc Optim

View full text Add to dashboard Cite

Optimum Thickness of a Cooled Wall in Local Pulse-Periodic Heating

Attetkov¹,

Volkov²,

Tverskaya³

2005

J Eng Phys Thermophys

Self Cite

View full text Add to dashboard Cite

536.2Using the methods of mathematical simulation. We investigated the characteristic features of formation of a stationary temperature field in a cooled plane isotropic wall subjected to local pulse-periodic heating. The possibility of the existence of an optimum wall thickness that ensures a minimum stationary temperature of its most heated point has been established.For practical applications of the mathematical theory of heat conduction [1-3], of special interest are the problems of controlling the temperature state of a structure [4][5][6][7][8][9][10][11], optimization, and estimation of the effective values of thermophysical and geometric parameters of their individual elements [12][13][14][15]. A correct choice of the optimum parameters depends to a great extent on the space-time structure of the regime of thermal action realized.Great attention in theoretical investigations is paid to spatial distributions (with the Gaussian-type intensity) and concentrated (of circular and annular shapes, and of other right geometrical shapes) heat fluxes. Thus, in particular, for a heat flux with a Gaussian-type intensity the problem of determination of the "optimal thickness of the wall subjected local heating" has been solved [16] and also sufficient conditions of the existence of the optimum thickness of a cooled coated wall being pulse-periodically heated have been determined [17]. As far as the present authors are aware, for concentrated heat fluxes similar results are absent, which can be explained by the specific properties of the process of formation of corresponding temperature fields [18,19].In the present work, we consider a plane isotropic wall of constant thickness h, one of the surfaces of which is exposed to the influence of both the surrounding medium with a constant temperature T c 0 and heat-transfer coefficient α 0 and a concentrated axisymmetrical heat flux q(r) in a pulse-periodic regime and the other surface of which is cooled by the external medium with a constant temperature T c h and heat-transfer coefficient α h . The main aim of the investigations carried out is analysis of the characteristic features of a stationary temperature field in the cooled wall on its exposure to a concentrated axisymmetric heat flux.To attain the aim set, we used a nonstationary mathematical model of the process of formation of a stationary temperature field in the wall. This allowed us to take into account the influence of the nonstationary nature of the acting heat-flux regime on the temperature field of the wall cooled and, by using the limiting transition (with unlimited increase in the time variable), to find the corresponding stationary temperature field that is the object of a subsequent parametric analysis.In conformity with the aim set and initial assumptions, we will avail ourselves of the following mathematical model:θ (ρ, x, Fo) Fo=0 = 0 ;(2)

show abstract

Untitled

Cited by 13 publications

References 0 publications

The Optimal Thickness of a Cooled Wall with a Coating under Local Pulse-Periodic Heating

The Optimal Thickness of a Cooled Wall with a Coating under Local Pulse-Periodic Heating

Topology optimization of non-Fourier heat conduction problems considering global thermal dissipation energy minimization

Optimum Thickness of a Cooled Wall in Local Pulse-Periodic Heating

Contact Info

Product

Resources

About