title: Nonlinear solution for radiation boundary condition of heat transfer process in human eye.
abstract: In this paper we propose a new method based on finite element method for solving radiation boundary condition of heat equation inside the human eye and other applications. Using this method, we can solve heat equation inside human eye without need to model radiation boundary condition to a robin boundary condition. Using finite element method we can obtain a nonlinear equation, and finally we use nonlinear algorithm to solve it. The human eye is modeled as a composition of several homogeneous regions. The Ritz method in the finite element method is used for solving heat differential equation. Applying the boundary conditions, the heat radiation condition and the robin condition on the cornea surface of the eye and on the outer part of sclera are used, respectively. Simulation results of solving nonlinear boundary condition show the accuracy of the proposed method.
authors.affiliation: University of Technology, Tehran, Iran. a.dehghani@ee.kntu.ac.ir
authors.forename: A
authors.initials: A
authors.lastname: Dehghani
authors.forename: A
authors.initials: A
authors.lastname: Moradi
authors.forename: M
authors.initials: M
authors.lastname: Dehghani
authors.forename: A
authors.initials: A
authors.lastname: Ahani
mesh_terms: D001831:Body Temperature / Q000502:physiology*; D001833:Body Temperature Regulation / Q000502:physiology*; D003198:Computer Simulation; D006358:Hot Temperature; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D009799:Ocular Physiological Phenomena; D013814:Thermal Conductivity