Simulation of an Inverse Heat Conduction Boundary Estimation Problem Based on State Space Model
نویسنده
چکیده
E.mail: School of Mechanical Engineering, KIIT University, Patia, Bhubaneswar751024, Odisha, India [email protected] Abstract—This paper presents a non-iterative procedure based on state space model for estimation of boundary conditions in heat conduction problems. The conduction governing equations are represented in the form of state space model. The non-iterative nature of the solution procedure in this method makes the solution very fast. Varieties of time-varying heat fluxes are simulated to realize the performance of the method. The results show that the estimation is quite accurate even at reasonably high levels of measurement noise. The results also confirm that this method can estimate sudden changes in boundary conditions accurately.
منابع مشابه
Boundary temperature reconstruction in an inverse heat conduction problem using boundary integral equation method
In this paper, we consider an inverse boundary value problem for two-dimensional heat equation in an annular domain. This problem consists of determining the temperature on the interior boundary curve from the Cauchy data (boundary temperature and heat flux) on the exterior boundary curve. To this end, the boundary integral equation method is used. Since the resulting system of linea...
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 کاملHierarchical Bayesian Models for Inverse Problems in Heat Conduction
Stochastic inverse problems in heat conduction with consideration of uncertainties in the measured temperature data, temperature sensor locations and thermophysical properties are addressed using a Bayesian statistical inference method. Both parameter estimation and thermal history reconstruction problems, including boundary heat flux and heat source reconstruction, are studied. Probabilistic s...
متن کاملA modified VIM for solving an inverse heat conduction problem
In this paper, we will use a modified variational iteration method (MVIM) for solving an inverse heat conduction problem (IHCP). The approximation of the temperature and the heat flux at are considered. This method is based on the use of Lagrange multipliers for the identification of optimal values of parameters in a functional in Euclidian space. Applying this technique, a rapid convergent s...
متن کاملA novel computational procedure based on league championship algorithm for solving an inverse heat conduction problem
Inverse heat conduction problems, which are one of the most important groups of problems, are often ill-posed and complicated problems, and their optimization process has lots of local extrema. This paper provides a novel computational procedure based on finite differences method and league championship algorithm to solve a one-dimensional inverse heat conduction problem. At the beginning, we u...
متن کامل