Inverse solutions of temperature, heat flux and heat source by the Green element method
نویسندگان
چکیده
منابع مشابه
Estimating the unknown heat flux on the wall of a heat exchanger internal tube using inverse method
In the design of heat exchangers, it is necessary to determine the heat transfer rate between hot and cold fluids in order to calculate the overall heat transfer coefficient and the heat exchanger efficiency. Heat transfer rate can be determined by inverse methods. In this study, the unknown space-time dependent heat flux imposed on the wall of a heat exchanger internal tube is estimated by app...
متن کاملDevelopment of a Moving Finite Element-Based Inverse Heat Conduction Method for Determination of Moving Surface Temperature
A moving finite element-based inverse method for determining the temperature on a moving surface is developed. The moving mesh is generated employing the transfinite mapping technique. The proposed algorithms are used in the estimation of surface temperature on a moving boundary with high velocity in the burning process of a homogenous low thermal diffusivity solid fuel. The measurements obtain...
متن کاملFractional-Diffusion Solutions for Transient Local Temperature and Heat Flux
Applying properties of the Laplace transform, the transient heat diffusion equation can be transformed into a fractional (extraordinary) differential equation. This equation can then be modified, using the Fourier Law, into a unique expression relating the local value of the time-varying temperature (or heat flux) and the corresponding transient heat flux (or temperature). We demonstrate that t...
متن کاملInverse Estimation of Boundary Heat Flux for Heat Conduction Model
Mathematical model of direct and inverse problems is developed for the flat plate probe which is subjected to timedependent heat flux at one end, while the other end is kept insulated. The direct solution, which is concerned with determination of the temperature distribution in the probe, is developed using an approach based on the method of variation of parameters. The direct solution is used ...
متن کاملSolving an Inverse Heat Conduction Problem by Spline Method
In this paper, a numerical solution of an inverse non-dimensional heat conduction problem by spline method will be considered. The given heat conduction equation, the boundary condition, and the initial condition are presented in a dimensionless form. A set of temperature measurements at a single sensor location inside the heat conduction body is required. The result show that the proposed meth...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2015
ISSN: 0307-904X
DOI: 10.1016/j.apm.2014.06.020