A two-dimensional inverse heat conduction problem for simultaneous estimation of heat convection coefficient, fluid temperature and wall temperature on the inner wall of a pipeline

Lü, Tao; Han, Wenwen; Jiang, Pei-Xue; Zhu, Yinhai; Wu, Jian; Liu, C.L.

doi:10.1016/j.pnucene.2015.01.018

Cited by 34 publications

(11 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…、航空航天工程 [6] 、发动机制造 [7] 、冶金 [8] 等众多科学和工程领域. 基于传热过程的特性, 传热反问题可分为热传导反问题 [9] 、热对流反问题 [10,11] 、热辐射反问题 [12~14] , 以及同时包含热传导、热对流和热辐射中几种传热模式的传热反问题. 在熔化或凝固过程中, 甚至还包括相变过程中的传热反问题 [15,16] .…”

Section: 传热反问题的构建和求解是为了对传热过程由果寻因unclassified

Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer

et al. 2019

View full text Add to dashboard Cite

Section: 传热反问题的构建和求解是为了对传热过程由果寻因unclassified

Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer

et al. 2019

View full text Add to dashboard Cite

“…where the dimensionless parameter ξ (see (24)) is a solution to equation (E5). Then, we need to prove that the two restrictions given by (R12) are necessary and sufficient conditions for the existence of a positive solution to equation (E5) and for obtain that the coefficient ǫ given in (33) is a number between 0 and 1.…”

Section: Explicit Formulae For the Unknown Thermal Coefficientsmentioning

confidence: 99%

“…where the dimensionless parameter ξ (see (24)) is a solution to equation (E4). As we saw in the (2)-(8) with unknown thermal coefficients γ and ρ, then it has the solution given by (9)-(10) with:…”

Section: Explicit Formulae For the Unknown Thermal Coefficientsmentioning

confidence: 99%

See 1 more Smart Citation

Simultaneous Determination of Two Unknown Thermal Coefficients Through a Mushy Zone Model With an Overspecified Convective Boundary Condition

Ceretani¹,

Tarzia²

2016

JPHMT

View full text Add to dashboard Cite

The simultaneous determination of two unknown thermal coefficients for a semi-infinite material under a phase-change process with a mushy zone according to the SolomonWilson-Alexiades model is considered. The material is assumed to be initially liquid at its melting temperature and it is considered that the solidification process begins due to a heat flux imposed at the fixed face. The associated free boundary value problem is overspecified with a convective boundary condition with the aim of the simultaneous determination of the temperature of the solid region, one of the two free boundaries of the mushy zone and two thermal coefficients among the latent heat by unit mass, the thermal conductivity, the mass density, the specific heat and the two coefficients that characterize the mushy zone. The another free boundary of the mushy zone, the bulk temperature and the heat flux and heat transfer coefficients at the fixed face are assumed to be known. According to the choice of the unknown thermal coefficients, fifteen phasechange problems arise. The study of all of them is presented and explicit formulae for * aceretani@austral.edu.ar † dtarzia@austral.edu.ar 1 the unknowns are given, beside necessary and sufficient conditions on data in order to obtain them. Formulae for the unknown thermal coefficients, with their corresponding restrictions on data, are summarized in a table.

show abstract

“…Boundary element method (BEM) [1] is a very promising approach for solving various engineering problems, such as heat transfer problems [2][3][4][5] in energy science and engineering, in which accurate evaluation of boundary integrals [6][7][8][9][10] is required. Weak, strong, or hypersingularities are involved in these boundary integrals, if the source point is located on the element under integration [11].…”

Section: Introductionmentioning

confidence: 99%

High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM

Cui

Feng

Gao

et al. 2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Boundary element method (BEM) is a very promising approach for solving various engineering problems, in which accurate evaluation of boundary integrals is required. In the present work, the direct method for evaluating singular curved boundary integrals is developed by considering the third-order derivatives in the projection plane method when expanding the geometry quantities at the field point as Taylor series. New analytical formulas are derived for geometry quantities defined on the curved line/plane, and unified expressions are obtained for both two-dimensional and three-dimensional problems. For the two-dimensional boundary integrals, analytical expressions for the third-order derivatives are derived and are employed to verify the complex-variable-differentiation method (CVDM) which is used to evaluate the high order derivatives for three-dimensional problems. A few numerical examples are given to show the effectiveness and the accuracy of the present method.

show abstract

A two-dimensional inverse heat conduction problem for simultaneous estimation of heat convection coefficient, fluid temperature and wall temperature on the inner wall of a pipeline

Cited by 34 publications

References 20 publications

Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer

Three-dimensional transient inverse heat conduction problems in the enhanced pool boiling heat transfer

Simultaneous Determination of Two Unknown Thermal Coefficients Through a Mushy Zone Model With an Overspecified Convective Boundary Condition

High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM

Contact Info

Product

Resources

About