Heat Conduction: Methods, Applications and Research



Series: Chemical Engineering Methods and Technology
BISAC: TEC009010

Heat conduction plays an important role in energy transfer at the macro, micro and nano scales. This book collates research results developed by scientists from different countries but with common research interest in the modelling of heat conduction problems. The results reported encompass heat conduction problems related to the Stefan problem, phase change materials related to energy consumption in buildings, the porous media problem with Bingham plastic fluids, thermosolutal convection, rewetting problems and fractional models with singular and non-singular kernels. The variety of analytical and numerical techniques used includes the classical heat-balance integral method in its refined version, double-integration technique and variational formulation applied to the integer-order and fractional models with memories.

This book cannot present the entire rich area of problems related to heat conduction, but allows readers to see some new trends and approaches in the modelling technologies. In this context, the fractional models with singular and non-singular kernels and the development of the integration techniques related to the integral-balance approach form fresh fluxes of ideas to this classical engineering area of research.

The book is oriented to researchers, masters and PhD students involved in heat conduction problems with a variety of applications and could serve as a rich reference source and a collection of texts provoking new ideas.

Table of Contents

Table of Contents


Chapter 1. Approximate Solutions to the One-Phase Stefan Problem with Non-Linear Temperature-Dependent Thermal Conductivity
(Julieta Bollati, María F. Natale, José A. Semitiel and Domingo A. Tarzia, Consejo Nacional de Investigaciones Científicas y Tecnológicas, Buenos Aires, Argentina, and others)

Chapter 2. Application of Variational Integral Method to Analyze Variety of Rewetting Problems
(Manish Kumar Agrawala and Santosh Kumar Sahub, School of Engineering Sciences, Mahindra Ecole Centrale, Hyderabad, India, and others)

Chapter 3. The Heat Radiation Diffusion Equation with Memory: Constitutive Approach and Approximate Integral-Balance Solutions
(Jordan Hristov, Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, Bulgaria)

Chapter 4. Fundamental Solutions to the Cauchy and Dirichlet Problems for a Heat Conduction Equation Equipped with the Caputo-Fabrizio Differentiation
(Derya Avci, Mehmet Yavuz, Necati Ozdemir, Department of Mathematics, Faculty of Sciences and Arts, Balikesir University, Balikesir, Turkey, and others)

Chapter 5. About the Heat Conduction Impact on the Thermosolutal Stability within Annulus: Silicon Carbide Ceramic Case
(Karim Ragui, Youb Khaled Benkahla, Rachid Bennacer, Laboratory of Transfer Phenomenon, USTHB, Algiers, Algeria, and others)

Chapter 6. Hygrothermal Transfers in Porous Media
(Kamilia Abahria and Xiaoyan Ma, LMT-ENS Cachan, CNRS, Paris-Saclay University, Cachan, France)

Chapter 7. Energy Storage Using Phase Change Materials
(Xiaoyan Ma, Jianfei Song and Bin Liu, LMT Cachan, CNRS,ENS Paris-Saclay University, Cachan, France, and others)


Additional Information

Audience: Researchers, Ms and Phd students in the field of thermal problems

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