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Keywords: Kirchhoff transformation
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Journal Articles
Application of the B-Spline Method to Solve Nonlinear Problem of Heat Conduction With Radiation Boundary Conditions Using Kirchhoff Transformation
Available to Purchase
Publisher: ASME
Article Type: Research-Article
J. Heat Mass Transfer. May 2022, 144(5): 051401.
Paper No: HT-21-1490
Published Online: March 4, 2022
...Z. Annasabi; F. Erchiqui; M. Souli This paper concerns the joint application of the B-spline method and the Kirchhoff transformation to solve the nonlinear problem of thermal conduction with radiation type boundary conditions. The proposed method requires few iterations, sometimes none, for solids...
Journal Articles
Analytical Solution to Nonlinear Thermal Diffusion: Kirchhoff Versus Cole–Hopf Transformations
Available to Purchase
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. December 2010, 132(12): 121302.
Published Online: September 22, 2010
...Peter Vadasz The Kirchhoff transformation is the classical method of solution to the nonlinear thermal diffusion problem with temperature dependent properties. It essentially converts the nonlinear problem into a linear one if the thermal diffusivity is approximately constant. Unfortunately...
Journal Articles
Multiquadric Collocation Method for Time-Dependent Heat Conduction Problems With Temperature-Dependent Thermal Properties
Available to Purchase
Publisher: ASME
Article Type: Research Papers
J. Heat Mass Transfer. February 2007, 129(2): 109–113.
Published Online: April 30, 2006
... s source function T temperature, K t time, s u Kirchhoff transformation variable, W/m x horizontal coordinate, m y vertical coordinate, m Greek Symbols Δ grid spacing, m Δ t time step, s...
