Heat conduction with nonlinear boundary condition
Copyright policy )Heat conduction with nonlinear boundary condition
The paper is concerned with determination of the solution of the one-dimensional heat equation in a semi-infinite region subject to a nonlinear boundary condition at the surface. The exact solution is obtained and is expressed in infinite series. It is shown that the series is absolutely and uniformly convergent. Two special cases of Newton's cooling and of Stefan-Boltzmann's radiation at the boundary are discussed.
- Illinois Institute of Technology United States
expressed in infinite series, exact solution, semi-infinite region, Heat equation, absolutely and uniformly convergent, Stefan-Boltzmann's radiation, Heat and mass transfer, heat flow, nonlinear boundary condition at surface, two special cases of Newton's cooling, Thermodynamics in solid mechanics, solution of one-dimensional heat equation
expressed in infinite series, exact solution, semi-infinite region, Heat equation, absolutely and uniformly convergent, Stefan-Boltzmann's radiation, Heat and mass transfer, heat flow, nonlinear boundary condition at surface, two special cases of Newton's cooling, Thermodynamics in solid mechanics, solution of one-dimensional heat equation
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