Academic Journal

Temporal differential transform and spatial finite difference methods for unsteady heat conduction equations with anisotropic diffusivity

التفاصيل البيبلوغرافية
العنوان: Temporal differential transform and spatial finite difference methods for unsteady heat conduction equations with anisotropic diffusivity
المؤلفون: Cilingir Sungu I., Demir H.
المساهمون: Ondokuz Mayıs Üniversitesi
بيانات النشر: Gazi University Eti Mahallesi
سنة النشر: 2014
مصطلحات موضوعية: Anisotropic diffusivity, Differential Transform Method, Finite-difference approximation, Heat conduction, Time-dependent heating
الوصف: Three unsteady heat conduction problems with anisotropic diffusivity and time-dependent heating or heat flux and/or heat source are considered in showing the utility of a hybrid method involving a combination of temporal differential transform and spatial finite difference methods. The segregation of time from the spatial component is the greatest advantage of the hybrid method that exhibits no instability of finite difference methods generally seen with parabolic equations. The easy-to-implement algorithm that is essentially a Poisson solver works with both linear and nonlinear heat transport problems without any difficulty of sorts. To gain confidence in the results some simulation results are also presented of problems that have an Adomian solution. The method can be used in practical heat transfer problems concerning non-uniform materials like composites, alloys, heterogeneous porous media with thermal equilibrium or non-equilibrium, multi-layered media and such other problems. ©2014 Gazi University Eti Mahallesi. All rights reserved.
نوع الوثيقة: article in journal/newspaper
اللغة: English
تدمد: 1303-9709
Relation: Gazi University Journal of Science; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://hdl.handle.net/20.500.12712/4784; 27; 1063; 1076
الاتاحة: https://hdl.handle.net/20.500.12712/4784
Rights: info:eu-repo/semantics/closedAccess
رقم الانضمام: edsbas.76E5A79
قاعدة البيانات: BASE