In direct heat conduction problems (IHCPs), the sought quantity is the temperature field in the body at known boundary conditions and a known initial condition. In inverse problems, boundary conditions are identified based on time-dependent temperature histories measured at selected points inside the body. The temperatures measured at the inner points of the body are used to determine the time- and space-dependent distribution of the temperature or heat flux on the body surface. Knowing the fluid temperature distribution around the body, it is also possible to determine the heat transfer coefficient d (HTC) distribution on the body surface. In this chapter briefly discusses the six chapters and appendix that comprise the entire book. The book consists of six chapters and a supplement. Both methods for solving inverse heat transfer problems (IHTPs) and detailed solutions for inverse problems of heat transfer identification in heat exchangers and thermal stress identification in pressure structures are presented. Solutions to inverse problems occurring in the control of fluid temperature at the outlet of a heat exchanger and the optimisation of heating and cooling of pressurised cylindrical structural elements are also presented. Chapter 2 presents the determination of heat transfer correlations on the air- and water-side Nusselt number in plate-fin and tube crossflow heat exchangers. A method for determining the correlations on a single tube and across the whole exchanger was developed. Chapter 3 deals with the identification of the temperature field, heat flux and heat transfer coefficient (HTC) based on the temperature measurement inside a body. The following methods of solving IHCPs are the subject of this chapter: exact solutions of inverse heat conduction problems, including the Burggraf method and the power series method. Methods for solving steady-state and transient IHCPs, both one-dimensional and multidimensional, are discussed extensively. Methods for solving one-dimensional direct and inverse heat conduction problems based on the Duhamel integral are the subject of Chapter 4 . The superposition method for time-dependent thermal boundary conditions is presented in Sect. 4.1 . The Duhamel integral and its application to solving linear transient heat conduction problems for time-dependent boundary conditions are addressed in Sect. 4.2 . Chapter 4 contains many examples illustrating the use of the superposition method and the Duhamel integral to solve direct problems and the Stolz and Beck method to solve inverse heat conduction problems. Chapter 5 is focused on inverse heat transfer problems (IHTPs) in heat exchangers. Evaluation of the transient thermal state of thick-walled pressure elements of power engineering machinery and equipment is addressed in Sect. 6 . The optimum heating and cooling of thick-walled pressure elements is outlined in Sect. 6.4 . Optimum heating and cooling of the component, assuming a quasi-steady temperature field, is analysed at first. Then, the optimum heating and cooling of a pressure component with fluid at a saturation temperature is presented. Interpolation and approximation of measured temperature changes dependent on time or space are the subject of the supplement.

Introduction

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发表日期：

2026年

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Jan Taler,
Dawid Taler

摘要

In direct heat conduction problems (IHCPs), the sought quantity is the temperature field in the body at known boundary conditions and a known initial condition. In inverse problems, boundary conditions are identified based on time-dependent temperature histories measured at selected points inside the body. The temperatures measured at the inner points of the body are used to determine the time- and space-dependent distribution of the temperature or heat flux on the body surface. Knowing the fluid temperature distribution around the body, it is also possible to determine the heat transfer coefficient d (HTC) distribution on the body surface. In this chapter briefly discusses the six chapters and appendix that comprise the entire book. The book consists of six chapters and a supplement. Both methods for solving inverse heat transfer problems (IHTPs) and detailed solutions for inverse problems of heat transfer identification in heat exchangers and thermal stress identification in pressure structures are presented. Solutions to inverse problems occurring in the control of fluid temperature at the outlet of a heat exchanger and the optimisation of heating and cooling of pressurised cylindrical structural elements are also presented. Chapter 2 presents the determination of heat transfer correlations on the air- and water-side Nusselt number in plate-fin and tube crossflow heat exchangers. A method for determining the correlations on a single tube and across the whole exchanger was developed. Chapter 3 deals with the identification of the temperature field, heat flux and heat transfer coefficient (HTC) based on the temperature measurement inside a body. The following methods of solving IHCPs are the subject of this chapter: exact solutions of inverse heat conduction problems, including the Burggraf method and the power series method. Methods for solving steady-state and transient IHCPs, both one-dimensional and multidimensional, are discussed extensively. Methods for solving one-dimensional direct and inverse heat conduction problems based on the Duhamel integral are the subject of Chapter 4 . The superposition method for time-dependent thermal boundary conditions is presented in Sect. 4.1 . The Duhamel integral and its application to solving linear transient heat conduction problems for time-dependent boundary conditions are addressed in Sect. 4.2 . Chapter 4 contains many examples illustrating the use of the superposition method and the Duhamel integral to solve direct problems and the Stolz and Beck method to solve inverse heat conduction problems. Chapter 5 is focused on inverse heat transfer problems (IHTPs) in heat exchangers. Evaluation of the transient thermal state of thick-walled pressure elements of power engineering machinery and equipment is addressed in Sect. 6 . The optimum heating and cooling of thick-walled pressure elements is outlined in Sect. 6.4 . Optimum heating and cooling of the component, assuming a quasi-steady temperature field, is analysed at first. Then, the optimum heating and cooling of a pressure component with fluid at a saturation temperature is presented. Interpolation and approximation of measured temperature changes dependent on time or space are the subject of the supplement.