Mathematical Approach to Transient Heat Analysis PDF Download
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Author: Ramoshweu Solomon Lebelo
Publisher:
ISBN: 9783330038820
Category :
Languages : en
Pages : 56
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Book Description
Author: Ramoshweu Solomon Lebelo
Publisher:
ISBN: 9783330038820
Category :
Languages : en
Pages : 56
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Book Description
Author: Davood Domairry Ganji
Publisher: Xlibris Corporation
ISBN: 1456808303
Category : Technology & Engineering
Languages : en
Pages : 55
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Book Description
Author: Donatello Annaratone
Publisher: Springer Science & Business Media
ISBN: 3642197779
Category : Science
Languages : en
Pages : 54
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Book Description
This book presents a new and direct computational method for transient heat transfer. The approach uses the well-known dimensionless Biot number and a second dimensionless number introduced by the author. The methodology allows for a transient heat transfer calculations without using finite difference programs. The book presents many examples and various tables demonstrating the potential of this new methodology. Many diagrams illustrate the physical phenomena.
Author: Donald C. Todd
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
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Book Description
A method for attacking a wide variety of commonly occurring heat-transfer problems is presented. The method stems from a mathematical model obtained by dividing a system into pieces. The differential equation of the temperature of each piece with respect to time is derived considering heat sources and heat transfer by conduction and radiation. The resulting system of first-order ordinary differential equations is put in a form convenient for programming a numerical solution by defining coefficients in terms of the data of the system. Form-surface factors are a generalization of form factors to include multiple reflections. The factor is defined and discussed. A formula is derived for the factor in terms of the form factors and the reflectivities. The form-surface factor relations for the conservation of energy and the reciprocity law are derived. Methods of calculation are discussed. A FORTRAN subroutine is presented that calculates the form-surface factors from the form factors and the reflectivities. (Author).
Author: A. A. Samarskii
Publisher: Wiley
ISBN: 9780471956600
Category : Science
Languages : en
Pages : 432
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Book Description
This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches, to the analysis of the models by traditional means of applied mathematics are described. Numerical methods for the approximate solution of steady- and unsteady state heat conduction problems are discussed. Investigation of difference schemes is based on the general stability theory. Much emphasis is put on problems in which phase transitions are involved and on heat and mass transfer problems. Problems of controlling and optimizing heat processes are discussed in detail. These processes are described by partial differential equations, and the main approaches to numerical solution of the optimal control problems involved here are discussed. Aspects of numerical solution of inverse heat exchange problems are considered. Much attention is paid to the most important applied problems of identifying coefficients and boundary conditions for a heat transfer equation. The first volume considered the mathematical models of heat transfer, classic analytical solution methods for heat conduction problems, numerical methods for steady-state and transient heat conduction problems, and phase change problems. In this second volume, we present solution techniques for complicated heat transfer problems (radiation, convection, thermoelasticity, thermal process control and inverse problems) as well as some examples of solving particular heat transfer problems.
Author: Hou-Cheng Huang
Publisher: Springer Science & Business Media
ISBN: 1447120914
Category : Science
Languages : en
Pages : 205
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Book Description
This text presents an introduction to the application of the finite ele ment method to the analysis of heat transfer problems. The discussion has been limited to diffusion and convection type of heat transfer in solids and fluids. The main motivation of writing this book stems from two facts. Firstly, we have not come across any other text which provides an intro duction to the finite element method (FEM) solely from a heat transfer perspective. Most introductory texts attempt to teach FEM from a struc tural engineering background, which may distract non-structural engineers from pursuing this important subject with full enthusiasm. We feel that our approach provides a better alternative for non-structural engineers. Secondly, for people who are interested in using FEM for heat transfer, we have attempted to cover a wide range of topics, presenting the essential the ory and full implementational details including two FORTRAN programs. In addition to the basic FEM heat transfer concepts and implementation, we have also presented some modem techniques which are being used to enhance the accuracy and speed of the conventional method. In writing the text we have endeavoured to keep it accessible to persons with qualifications of no more than an engineering graduate. As mentioned earlier this book may be used to learn FEM by beginners, this may include undergraduate students and practicing engineers. However, there is enough advanced material to interest more experienced practitioners.
Author:
Publisher: Academic Press
ISBN: 0080575846
Category : Technology & Engineering
Languages : en
Pages : 467
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Book Description
Advances in Heat Transfer
Author: Tse-Fou Zien
Publisher:
ISBN:
Category : Ablation (Aerothermodynamics)
Languages : en
Pages : 56
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Book Description
An approximate method for studying transient heat-conduction problems is presented. Its application to various linear problems and nonlinear problems involving phase transitions is described by means of several idealized problems. The method is basically a refined version of the well-known Karman-Pohlhausen integral technique in boundary-layer theory, and represents a further development of the basic ideas previously exploited to calculate skin friction and heat transfer in boundary-layer flows. The approximate solutions obtained are extensively compared with existing exact solutions and those of the classical Karman-Pohlhausen method. From the simplicity and accuracy of the present method as demonstrated in the results, the potential utility of the method in providing simple, engineering solutions to complex aerodynamic heating problems can be inferred.
Author: D. V. Widder
Publisher: Academic Press
ISBN: 0080873839
Category : Science
Languages : en
Pages : 285
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Book Description
The Heat Equation
Author: A. A. Samarskii
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 432
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Book Description
This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches to the analysis of the models by traditional means of applied mathematics are described. Numerical methods for the approximate solution of steady and unsteady-state heat conduction problems are discussed. Investigation of difference schemes is based on the general stability theory. Much emphasis is put on problems in which phase transitions are involved and on heat and mass transfer problems. Problems of controlling and optimizing heat processes are discussed in detail. These processes are described by partial differential equations, and the main approaches to numerical solution of the optimal control problems involved here are discussed. Aspects of numerical solution of inverse heat exchange problems are considered. Much attention is paid to the most important applied problems of identifying coefficients and boundary conditions for a heat transfer equation. This first volume considers the mathematical models of heat transfer, classic analytical solution methods for heat conduction problems, numerical methods for steady-state and transient heat conduction problems, and phase change problems. The second volume presents solution techniques for complicated heat transfer problems (radiation, convection, thermoelasticity, thermal process control and inverse problems) as well as some examples of solving particular heat transfer problems.
