Journal ArticleDOI
On general solution of heat conduction in an anisotropic medium
M.D. Mikhailov,M.N. Özişik +1 more
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In this article, formal analytic solutions for three dimensional, transient heat conduction in an anisotropic solid of arbitrary shape subjected to general linear boundary conditions are presented for three dimensions.About:
This article is published in Letters in Heat and Mass Transfer.The article was published on 1981-07-01. It has received 8 citations till now. The article focuses on the topics: Relativistic heat conduction & Thermal conduction.read more
Citations
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Heat transfer—a review of 1981 literature
E. R. G. Eckert,Richard J Goldstein,Suhas V. Patankar,E. Pfender,James W. Ramsey,Terrence W. Simon,Ephraim M Sparrow +6 more
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Convective Eigenvalue Problems for Convergence Enhancement of Eigenfunction Expansions in Convection–Diffusion Problems
TL;DR: In this article, the authors considered the application of the generalized integral transform technique (GITT) in the solution of a class of linear or nonlinear convection-diffusion problems, by fully or partially incorporating the convective effects into the chosen eigenvalue problem that forms the basis of the proposed eigenfunction expansion.
Journal ArticleDOI
A control-volume finite element method for the prediction of three-dimensional diffusion-type phenomena in anisotropic media
TL;DR: In this paper, a control-volume finite element method (CVFEM) for the prediction of three-dimensional, linear and nonlinear, diffusion-type phenomena in anisotropic media in irregular calculation domains is presented and discussed.
Journal ArticleDOI
Conjugate Heat Transfer: Analysis Via Integral Transforms and Eigenvalue Problems
TL;DR: In this paper, an integral transform approach to the solution of the problem on conjugate heat transfer, combining the singledomain formulation with the convective eigenfunction expansion basis within the total integral transformation framework, which leads to a nonclassical eigenvalue problem, is presented.
Journal ArticleDOI
Unified Finite Integral Transform Analysis
M. D. Mikhailov,M.N. Özişik +1 more
TL;DR: In this paper, a special matrix is introduced, the elements of which are zero or first-order operators, which is used to define the initial boundary value problem which covers a wide class of engineering applications.
References
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Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Journal ArticleDOI
General solutions of the heat equation in finite regions
TL;DR: In this article, a finite integral transform (FIT) based analytical solution for a large class of heat transfer problems was found in form of infinite series and contains quasi-steady and transient terms.