Real Time Heat Flux Estimation Using Filter Based Solutions For Inverse Heat Conduction Problems

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Real-time Heat Flux Estimation Using Filter Based Solutions for Inverse Heat Conduction Problems

Author : Hamidreza Najafi
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Real-time Heat Flux Estimation Using Filter Based Solutions for Inverse Heat Conduction Problems by : Hamidreza Najafi

Download or read book Real-time Heat Flux Estimation Using Filter Based Solutions for Inverse Heat Conduction Problems written by Hamidreza Najafi and published by . This book was released on 2015 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-time heat flux measurement has great significance in numerous applications such as metal heat treating, quenching, fire safety tests, furnace operation, thermal therapy and more. Direct measurement of heat flux is not always possible and therefore, developing methods for accurate heat flux estimation using temperature data is desirable for several applications. An Inverse Heat Conduction Problem (IHCP) has to be solved to estimate the unknown heat flux at the surface, knowing the temperature measurements in the interior points of the medium. This problem is mathematically ill-posed and a small error in temperature data result in large errors in estimated heat fluxes. The focus of this dissertation is developing solutions for IHCP's using digital filter approach. A series of IHCP's are closely investigated and filter based solutions are developed for each problem which allows real-time heat flux estimation. The characteristics of the filter form solutions are discussed in detail for each case. A series of articles are written to discuss these problems. The articles in this dissertation provide real-time solutions for a series of IHCP's with wide applications in industries. In particular, a filter based solution technique is developed for heat flux estimation in multi-layer mediums with temperature dependent material properties. While one application of this solution technique in using Directional Flame Thermometers is discussed in detail, there are many other applications for this solution method, e.g. in thermal therapy and tissue engineering (Articles 1-5). Furthermore, the concept of using artificial neural networks as digital filters for real-time heat flux estimation is investigated in Article 6. Several test cases are demonstrated to study the applicability of ANN's for solving linear and non-linear IHCP's. Finally, developing filter form solutions for two-dimensional IHCP's with multiple unknown heat fluxes is presented in Article 7. This study not only provides a basis for heat flux estimation in heat treating processes in industries, but also proves the applicability of the filter solution for multi-dimensional mediums with more complexities and demonstrates the characteristics of this technique.

Inverse Heat Conduction

Author : Hamidreza Najafi
Publisher : John Wiley & Sons
ISBN 13 : 111984021X
Total Pages : 355 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Inverse Heat Conduction by : Hamidreza Najafi

Download or read book Inverse Heat Conduction written by Hamidreza Najafi and published by John Wiley & Sons. This book was released on 2023-03-02 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Heat Conduction A comprehensive reference on the field of inverse heat conduction problems (IHCPs), now including advanced topics, numerous practical examples, and downloadable MATLAB codes. The First Edition of the classic book Inverse Heat Conduction: III-Posed Problems, published in 1985, has been used as one of the primary references for researchers and professionals working on IHCPs due to its comprehensive scope and dedication to the topic. The Second Edition of the book is a largely revised version of the First Edition with several all-new chapters and significant enhancement of the previous material. Over the past 30 years, the authors of this Second Edition have collaborated on research projects that form the basis for this book, which can serve as an effective textbook for graduate students and as a reliable reference book for professionals. Examples and problems throughout the text reinforce concepts presented. The Second Edition continues emphasis from the First Edition on linear heat conduction problems with revised presentation of Stolz, Function Specification, and Tikhonov Regularization methods, and expands coverage to include Conjugate Gradient Methods and the Singular Value Decomposition method. The Filter Matrix concept is explained and embraced throughout the presentation and allows any of these solution techniques to be represented in a simple explicit linear form. Two direct approaches suitable for non-linear problems, the Adjoint Method and Kalman Filtering, are presented, as well as an adaptation of the Filter Matrix approach applicable to non-linear heat conduction problems. In the Second Edition of Inverse Heat Conduction: III-Posed Problems, readers will find: A comprehensive literature review of IHCP applications in various fields of engineering Exact solutions to several fundamental problems for direct heat conduction problems, the concept of the computational analytical solution, and approximate solution methods for discrete time steps using superposition of exact solutions which form the basis for the IHCP solutions in the text IHCP solution methods and comparison of many of these approaches through a common suite of test problems Filter matrix form of IHCP solution methods and discussion of using filter-form Tikhonov regularization for solving complex IHCPs in multi-layer domain with temperature-dependent material properties Methods and criteria for selection of the optimal degree of regularization in solution of IHCPs Application of the filter concept for solving two-dimensional transient IHCP problems with multiple unknown heat fluxes Estimating the heat transfer coefficient, h, for lumped capacitance body and bodies with temperature gradients Bias in temperature measurements in the IHCP and correcting for temperature measurement bias Inverse Heat Conduction is a must-have resource on the topic for mechanical, aerospace, chemical, biomedical, or metallurgical engineers who are active in the design and analysis of thermal systems within the fields of manufacturing, aerospace, medical, defense, and instrumentation, as well as researchers in the areas of thermal science and computational heat transfer.

Inverse Estimation of Heat Flux and Temperature in 3D Finite Domain

Author : Nauman Malik Muhamad
Publisher : GRIN Verlag
ISBN 13 : 3640982584
Total Pages : 50 pages
Book Rating : 4.6/5 (49 download)

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Book Synopsis Inverse Estimation of Heat Flux and Temperature in 3D Finite Domain by : Nauman Malik Muhamad

Download or read book Inverse Estimation of Heat Flux and Temperature in 3D Finite Domain written by Nauman Malik Muhamad and published by GRIN Verlag. This book was released on 2011-08-12 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thesis (M.A.) from the year 2009 in the subject Engineering - Power Engineering, , language: English, abstract: Inverse heat conduction problems occur in many theoretical and practical applications where it is difficult or practically impossible to measure the heat flux generated and the temperature of the layer conducting the heat flux to the body. Thus it becomes imperative to devise some means to cater for such a problem and estimate the heat flux inversely. Adaptive state estimator is one such technique which works by incorporating the semi-Markovian concept into a Bayesian estimation technique thereby developing an inverse input and state estimator consisting of a bank of parallel adaptively weighted Kalman filters. The problem presented in this study deals with a three dimensional system of a cube with one end conducting heat flux and all the other sides are insulated while the temperatures are measured on the accessible faces of the cube. The measurements taken on these accessible faces are fed into the estimation algorithm and the input heat flux and the temperature distribution at each point in the system is calculated. A variety of input heat flux scenarios have been examined to underwrite the robustness of the estimation algorithm and hence insure its usability in practical applications. These include sinusoidal input flux, a combination of rectangular, linearly changing and sinusoidal input flux and finally a step changing input flux. The estimator’s performance limitations have been examined in these input set-ups and error associated with each set-up is compared to conclude the realistic application of the estimation algorithm in such scenarios. Different sensor arrangements, that is different sensor numbers and their locations are also examined to impress upon the importance of number of measurements and their location i.e. close or farther from the input area. Since practically it is both economically and physically tedious to install more number of measurement sensors, hence optimized number and location is very important to determine for making the study more application oriented. Before the inverse estimation, a comprehensive mesh sensitivity analysis is given for the system’s governing equation finite difference calculations to get an optimized mesh size for the forward and inverse analysis to be correct and within the tolerable error limits and computationally undemanding at the same time.

Systems Analysis of the Inverse Heat Conduction Problem

Author : David Bruce Manner
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Systems Analysis of the Inverse Heat Conduction Problem by : David Bruce Manner

Download or read book Systems Analysis of the Inverse Heat Conduction Problem written by David Bruce Manner and published by . This book was released on 1987 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Fundamental and Application of Surface Heat Flux Estimation by Inverse Method in Cryogen Spray Cooling

Author : Bin Chen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis The Fundamental and Application of Surface Heat Flux Estimation by Inverse Method in Cryogen Spray Cooling by : Bin Chen

Download or read book The Fundamental and Application of Surface Heat Flux Estimation by Inverse Method in Cryogen Spray Cooling written by Bin Chen and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surface heat flux is an important parameter in various industrial applications, which is often estimated based on measured temperature by solving inverse heat conduction problem (IHCP). In this chapter, the available IHCP methods including sequential function specification (SFS), transfer function (TF) and Duhamel,Äôs theorem were compared, taking the example of surface heat flux estimation during spray cooling. The Duhamel,Äôs theorem was improved to solve 1D multi-layer ICHP. Considering the significant nonuniformity of heat transfer, the 2D filter solution method was proposed to estimate surface heat flux for 2D multi-layer mediums. The maximum heat flux calculated by the 1D method was underestimated by 60% than that calculated by 2D filter solution, indicating that the lateral heat transfer cannot be ignored. The cooling performances based on 2D filter solution demonstrated that substituting the environment friendly R1234yf for R134a can remarkably reduce global warming potential to

Inverse Heat Conduction and Heat Exchangers

Author : Suvanjan Bhattacharyya
Publisher : BoD – Books on Demand
ISBN 13 : 1789851777
Total Pages : 204 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Inverse Heat Conduction and Heat Exchangers by : Suvanjan Bhattacharyya

Download or read book Inverse Heat Conduction and Heat Exchangers written by Suvanjan Bhattacharyya and published by BoD – Books on Demand. This book was released on 2020-12-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A direct solution of the heat conduction equation with prescribed initial and boundary conditions yields temperature distribution inside a specimen. The direct solution is mathematically considered as a well-posed one because the solution exists, is unique, and continuously depends on input data. The estimation of unknown parameters from the measured temperature data is known as the inverse problem of heat conduction. An error in temperature measurement, thermal time lagging, thermocouple-cavity, or signal noise data makes stability a problem in the estimation of unknown parameters. The solution of the inverse problem can be obtained by employing the gradient or non-gradient based inverse algorithm. The aim of this book is to analyze the inverse problem and heat exchanger applications in the fields of aerospace, mechanical, applied mechanics, environment sciences, and engineering.

Analytical and Experimental Studies for Space Boundary and Geometry Inverse Heat Conduction Problems

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (654 download)

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Book Synopsis Analytical and Experimental Studies for Space Boundary and Geometry Inverse Heat Conduction Problems by :

Download or read book Analytical and Experimental Studies for Space Boundary and Geometry Inverse Heat Conduction Problems written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Intelligent Approach to Inverse Heat Transfer Analysis of Irradiative Enclosures

Author : Ali Mirsepahi
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis An Intelligent Approach to Inverse Heat Transfer Analysis of Irradiative Enclosures by : Ali Mirsepahi

Download or read book An Intelligent Approach to Inverse Heat Transfer Analysis of Irradiative Enclosures written by Ali Mirsepahi and published by . This book was released on 2016 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thesis by publication for a PhD degree of engineering in the University of Adelaide. The current dissertation comprises five published/submitted journal articles. Three of these journal papers have already been published in the journal of "International Communications in Heat and Mass Transfer" and one has been accepted by the editorial board of "Chemical Engineering Communications". This study, based on research undertaken in the area of Inverse Heat Transfer Problems (IHTP), aims at analyzing the applicability of Intelligent Techniques (ITs) to solve sequential (real-time) heat flux estimation class of IHTPs, especially those involving in the most complicated form of heat transfer, radiation. Currently, several optimization based methods have been developed and applied to solve heat flux estimation problems. These methods normally require detailed and accurate information regarding physical properties. Often, the measurement of such physical properties is extremely difficult, if not impossible. Moreover, all optimization-based methods require that the direct problem must be solved first. This constraint of the need for iterated direct problem solutions can produce significant computing errors and calculations may be excessively time-consuming. This thesis offers new inverse models to estimate heat flux based on a sequence of measured temperatures. The offered models developed by ITs, in accordance with the achievement of this research, only requires a series of temperature-input heat data for a few minutes of operation; the dimensions and thermophysical properties are not needed. As another significant advantage, the estimation stage by the trained ITs only includes a small number of simple calculations excluding any recursive computation; this means the method is very fast-paced in comparison with classical avenues of numerical heat transfer for similar problems. At the outset, the most general form of ITs in engineering applications, Artificial Neural Networks (ANNs), employed to formulate an inverse model in the studied furnace/dryer (see chapter 4). The promising results confirmed that ITs are sound candidates to create inverse models. In that study, some deficiencies in ANNs such as finding the relevant parameters by trial and errors motivated the authors to check GA-ANNs and ANFIS as the possible alternatives for ANNs. The comparison study between aforementioned methods (see chapter 5) provided good outlines to find the best method in different situation. As the ANNs optimized by Genetic Algorithms (GA) discovered as the best method in the chapter 5, different types of ANNs were compared to find the best one (see chapter 6) in terms of accuracy and computation time. The results demonstrated that Multilayer Perceptron (MLP) optimized by GA can perform the best among all studied ANNs. Since the literatures lack of a practical comparison between the proposed and optimization based methods, as the next phase of study, these two method were compared (see chapter 7) to reconfirm the superiority of inverse models developed by ITs. In the last stage (chapter 8), a two-input/ two-output problem defined to check the capability of the proposed method in the problems more closer to the real-world industrial applications. In short, a series of very accurate methods for inverse heat transfer problems is proposed and successfully tested using experimental data.

Extreme Methods for Solving Ill-posed Problems with Applications to Inverse Heat Transfer Problems

Author : Oleg Mikhaĭlovich Alifanov
Publisher : Begell House Publishers
ISBN 13 : 9781567000382
Total Pages : 306 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Extreme Methods for Solving Ill-posed Problems with Applications to Inverse Heat Transfer Problems by : Oleg Mikhaĭlovich Alifanov

Download or read book Extreme Methods for Solving Ill-posed Problems with Applications to Inverse Heat Transfer Problems written by Oleg Mikhaĭlovich Alifanov and published by Begell House Publishers. This book was released on 1995-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on the author's studies carried out to investigate one of the most promising trends in the theory of ill-posed problems, namely, iterative regularization and its application to inverse heat transfer problems. Effective methods for solving inverse problems have allowed researchers to simplify experiments considerably, and to increase the accuracy and confidence of results in experimental data processing. The authors discuss a broad range of problems concerned with both the theory of regularizing gradient algorithms and peculiarities of their application to the most often encountered inverse problems of reconstruction of external heat fluxes and the identification of mathematical models for heat transfer processes.

A New Implicit in Time with Space Marching Two-dimensional Inverse Heat Conduction Method

Author :
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis A New Implicit in Time with Space Marching Two-dimensional Inverse Heat Conduction Method by :

Download or read book A New Implicit in Time with Space Marching Two-dimensional Inverse Heat Conduction Method written by and published by . This book was released on 2008 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new combination of methods used to solve the transient, two-dimensional inverse heat conduction problem (IHCP) is presented in this thesis. A simple implicit in time with space marching approach is used in combination with digital filtering for regularization. Results are presented for both one-dimensional and two-dimensional problems. As much as 10% measurement error is added to the data to simulate experimental results. One-dimensional results with "perfect" data suggested that refining the spatial and temporal meshes improved the accuracy of the inverse solution. However, the nodal Fourier number was found to have no effect on accuracy. Further investigation into the effect of the Fourier number on the inverse solution led to the discovery of a precisely defined stability criterion, which is presented for the one-dimensional problem. The digital filter was proven to be a highly effective regularization method for both the one-dimensional and two-dimensional cases. The Gauss low pass filter employed a cutoff frequency as the regularization parameter, which has an exact definition with physical significance. No trial and error method of choosing a regularization parameter was necessary. Temperature and heat flux data were given at the sensor sites, noise was added to the data, filtered, and used as input data to the inverse code. The prediction error resulting from the use of "perfect" data suggested a bias (over-prediction). With this bias removed from the noisy, filtered results, the inverse solution was accurate to 2% for the 1D case and 3% for the 2D case. The dramatic reduction of error through an inverse process was striking, since the inverse problem is well-known to magnify measurement errors. An additional case using only one line of temperature data and no heat flux data was used as alternate approach to the inverse problem. The new strategy relies on a recently developed integral relationship between the heating rate and the heat flux, which is valid on the half-space. The relationship allows for the heat flux to be found at the sensor site using only temperature and heating rate data. This data could be experimentally obtained using one line of thermocouples combined with numerical differentiation to obtain the heating rate; no heat flux gauges or second series of thermocouples are necessary. This thesis is the first to take advantage of heat flux -- heating rate relationship. Results from this method with a measurement error of 5% predicted a surface heat flux error of only 5%.

Estimation of Transient Heat Transfer Coefficients in Multi-dimensional Problems by Using Inverse Heat Transfer Methods

Author : Arafa Mohamed Osman
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Estimation of Transient Heat Transfer Coefficients in Multi-dimensional Problems by Using Inverse Heat Transfer Methods by : Arafa Mohamed Osman

Download or read book Estimation of Transient Heat Transfer Coefficients in Multi-dimensional Problems by Using Inverse Heat Transfer Methods written by Arafa Mohamed Osman and published by . This book was released on 1987 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Heat Transfer

Author :
Publisher :
ISBN 13 :
Total Pages : 402 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Journal of Heat Transfer by :

Download or read book Journal of Heat Transfer written by and published by . This book was released on 2001 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Estimation of Surface Temperature, Surface Heat Flux and Heat Transfer Coefficient in the Platform of Inverse Heat Conduction Problems

Download Estimation of Surface Temperature, Surface Heat Flux and Heat Transfer Coefficient in the Platform of Inverse Heat Conduction Problems PDF Online Free

Author : Ramin Soujoudi
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.:/5 (86 download)

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Book Synopsis Estimation of Surface Temperature, Surface Heat Flux and Heat Transfer Coefficient in the Platform of Inverse Heat Conduction Problems by : Ramin Soujoudi

Download or read book Estimation of Surface Temperature, Surface Heat Flux and Heat Transfer Coefficient in the Platform of Inverse Heat Conduction Problems written by Ramin Soujoudi and published by . This book was released on 2013 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving Direct and Inverse Heat Conduction Problems

Author : Jan Taler
Publisher : Springer Science & Business Media
ISBN 13 : 3540334718
Total Pages : 890 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Solving Direct and Inverse Heat Conduction Problems by : Jan Taler

Download or read book Solving Direct and Inverse Heat Conduction Problems written by Jan Taler and published by Springer Science & Business Media. This book was released on 2010-04-16 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a solution for direct and inverse heat conduction problems, discussing the theoretical basis for the heat transfer process and presenting selected theoretical and numerical problems in the form of exercises with solutions. The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods. An accompanying CD-Rom includes computational solutions of the examples and extensive FORTRAN code.

Inverse Heat Conduction

Author : James V. Beck
Publisher : James Beck
ISBN 13 : 9780471083191
Total Pages : 336 pages
Book Rating : 4.0/5 (831 download)

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Book Synopsis Inverse Heat Conduction by : James V. Beck

Download or read book Inverse Heat Conduction written by James V. Beck and published by James Beck. This book was released on 1985-10-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is the only commercially published work to deal with the engineering problem of determining surface heat flux and temperature history based on interior temperature measurements. Provides the analytical techniques needed to arrive at otherwise difficult solutions, summarizing the findings of the last ten years. Topics include the steady state solution, Duhamel's Theorem, ill-posed problems, single future time step, and more.

Influence of Input Parameters on the Solution of Inverse Heat Conduction Problem

Author : Rakhab Mehta
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis Influence of Input Parameters on the Solution of Inverse Heat Conduction Problem by : Rakhab Mehta

Download or read book Influence of Input Parameters on the Solution of Inverse Heat Conduction Problem written by Rakhab Mehta and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-dimensional transient heat conduction equation is solved using analytical and numerical methods. An iterative technique is employed which estimates unknown boundary conditions from the measured temperature time history. The focus of the present chapter is to investigate effects of input parameters such as time delay, thermocouple cavity, error in the location of thermocouple position and time- and temperature-dependent thermophysical properties. Inverse heat conduction problem IHCP is solved with and without material conduction. A two-time level implicit finite difference numerical method is used to solve nonlinear heat conduction problem. Effects of uniform, nonuniform and deforming computational grids on the estimated convective heat transfer are investigated in a nozzle of solid rocket motor. A unified heat transfer analysis is presented to obtain wall heat flux and convective heat transfer coefficient in a rocket nozzle. A two-node exact solution technique is applied to estimate aerodynamic heating in a free flight of a sounding rocket. The stability of the solution of the inverse heat conduction problem is sensitive to the spatial and temporal discretization.

Practical Inverse Analysis in Engineering

Author : David M. Trujillo
Publisher : CRC Press
ISBN 13 : 9780849396595
Total Pages : 254 pages
Book Rating : 4.3/5 (965 download)

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Book Synopsis Practical Inverse Analysis in Engineering by : David M. Trujillo

Download or read book Practical Inverse Analysis in Engineering written by David M. Trujillo and published by CRC Press. This book was released on 1997-07-23 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers and scientists - combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models. The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data - with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is also discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL programming software lets readers try the methods presented in the text.