Radial integration boundary element method for heat conduction problems with convective heat transfer boundary

2017 ◽  
Vol 72 (4) ◽  
pp. 300-310 ◽  
Author(s):  
Jing Wang ◽  
Hai-Feng Peng ◽  
Kai Yang ◽  
Yan-Xin Yin ◽  
Xiao-Wei Gao
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Boundary Element Method ◽  
Convective Heat Transfer ◽  
Boundary Element ◽  
Convective Heat ◽  
Integration Boundary ◽  
Element Method

A Boundary Element Method for the Conjugate Heat Transfer Problem of Thermally Developing Laminar Flow in a Pipe

2003 ◽  
Author(s):  
Chang-Yong Choi ◽  
Jong Chull Jo ◽  
Hho Jung Kim
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Boundary Element Method ◽  
Laminar Flow ◽  
Boundary Element ◽  
Conjugate Heat Transfer ◽  
Transfer Problem ◽  
Analytic Solutions ◽  
Fluid Interface ◽  
Element Method

This paper presents a sole application of boundary element method to the conjugate heat transfer problem of thermally developing laminar flow in a thick walled pipe when the fluid velocities are fully developed. Due to the coupled mechanism of heat conduction in the solid region and heat convection in the fluid region, two separate solutions in the solid and fluid regions are sought to match the solid-fluid interface continuity condition. In this method, the dual reciprocity boundary element method (DRBEM) with the axial direction marching scheme is used to solve the heat convection problem and the conventional boundary element method (BEM) of axisymmetric model is applied to solve the heat conduction problem. An iterative and numerically stable BEM solution algorithm is presented, which uses the coupled interface conditions instead of the uncoupled ones. Both the local convective heat transfer coefficient at solid-fluid interface and the local mean fluid temperature are initially guessed and updated as the unknown interface thermal conditions in the iterative solution procedure. Two examples imposing uniform temperature and heat flux boundary conditions are tested and compared with analytic solutions where available. The benchmark test results are shown to be in good agreement with the analytic solutions for both examples with different boundary conditions.

Mould cooling simulation for injection moulding using a fast boundary element method approach

2009 ◽  
Vol 224 (4) ◽  
pp. 653-662 ◽  
Author(s):  
H Zhou ◽  
Y Zhang ◽  
J Wen ◽  
S Cui
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Injection Moulding ◽  
Heat Conduction Problem ◽  
Solution Time ◽  
Combination Method ◽  
Dynamic Allocation ◽  
Actual Problem ◽  
Element Method

The existing cooling simulations for injection moulding are mostly based on the boundary element method (BEM). In this paper, a fast BEM approach for mould cooling analysis is developed. The actual problem is decoupled into a one-dimensional transient heat conduction problem within the thin part and a cycle-averaged steady state three-dimensional heat conduction problem of the mould. The BEM is formulated for the solution of the mould heat transfer problem. A dynamic allocation strategy of integral points is proposed when using the Gaussian integral formula to generate the BEM matrix. Considering that the full and unsymmetrical influence matrix of the BEM may lead to great storage space and solution time, this matrix is transformed into a sparse matrix by two methods: the direct rounding method or the combination method. This approximated sparsification approach can reduce the storage memory and solution time significantly. For validation, six typical cases with different element numbers are presented. The results show that the error of the direct rounding method is too large while that of the combination method is acceptable.

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