Lagrangian formulation of unsteady non-linear heat transfer problems

1974 ◽  
Vol 8 (1) ◽  
pp. 31-44 ◽  
Author(s):  
G. Lebon ◽  
J. Casas-Vazquez
Keyword(s):  
Heat Transfer ◽  
Lagrangian Formulation ◽  
Linear Heat ◽  
Non Linear ◽  
Transfer Problems

scholarly journals An enhanced nodal gradient finite element for non-linear heat transfer analysis

2019 ◽  
Author(s):  
Minh Ngoc Nguyen ◽  
Tich Thien Truong ◽  
Tinh Quoc Bui
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Degrees Of Freedom ◽  
Element Model ◽  
Heat Transfer Analysis ◽  
Order Continuity ◽  
Linear Heat ◽  
Non Linear ◽  
Interpolation Procedure ◽  
Transfer Problems

The present work is devoted to the analysis of non-linear heat transfer problems using the recent development of consective-interpolation procedure. Approximation of temperature is enhanced by taking into account both the nodal values and their averaged nodal gradients, which results in an improved finite element model. The novel formulation possesses many desirable properties including higher accuracy and higher-order continuity, without any change of the total number of degrees of freedom. The non-linear heat transfer problems equation is linearized and iteratively solved by the Newton-Raphson scheme. To show the accuracy and efficiency of the proposed method, several numerical examples are hence considered and analyzed.

Experimental validation of high-order time integration for non-linear heat transfer problems

2011 ◽  
Vol 48 (1) ◽  
pp. 81-96 ◽  
Author(s):  
Karsten J. Quint ◽  
Stefan Hartmann ◽  
Steffen Rothe ◽  
Nicolas Saba ◽  
Kurt Steinhoff
Keyword(s):  
Heat Transfer ◽  
Experimental Validation ◽  
Time Integration ◽  
High Order ◽  
Linear Heat ◽  
Non Linear ◽  
High Order Time ◽  
Transfer Problems

scholarly journals Study of non-linear heat transfer problems

1987 ◽  
Vol 22 (1) ◽  
pp. 101-105 ◽  
Author(s):  
A. Jordan ◽  
S. Khaldi ◽  
M. Benmouna ◽  
A. Borucki
Keyword(s):  
Heat Transfer ◽  
Linear Heat ◽  
Non Linear ◽  
Transfer Problems

scholarly journals An integral transform applied to solve the steady heat transfer problem in the half-plane

2017 ◽  
Vol 21 (suppl. 1) ◽  
pp. 105-111
Author(s):  
Tongqiang Xia ◽  
Shengping Yan ◽  
Xin Liang ◽  
Pengjun Zhang ◽  
Chun Liu
Keyword(s):  
Heat Transfer ◽  
Half Plane ◽  
Laplace Equation ◽  
Integral Transform ◽  
Transfer Problem ◽  
Heat Transfer Problem ◽  
Linear Heat ◽  
Transfer Problems ◽  
Steady Heat

An integral transform operator U[?(t)= 1/? ???? ?(t)?-i?t dt is considered to solve the steady heat transfer problem in this paper. The analytic technique is illustrated to be applicable in the solution of a 1-D Laplace equation in the half-plane. The results are interesting as well as potentially useful in the linear heat transfer problems.

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