​This book accommodates the existing correlations, data, and methods for thermodynamic and thermophysical properties of saline water, including multiple components at a wide range of salinity (reaching around 200 g/kg), temperature, and pressure. The correlations of each property are plotted against existing experimental data to judge the comparative accuracy of each within a given specific range of salinity, temperature, and pressure. An assessment to recommend some correlations is also conducted. New correlations for some properties are also proposed. This book helps to provide the saline water properties as needed for engineers, designers, and research for different areas, including desalination and water treatment. All the analytical analysis, thermodynamic analysis, and design models of the desalination technologies depend on saline water properties. As scientists and researchers working on different desalination technologies, the authors found it difficult to find all saline water properties in one source, including multicomponent and binary salty solutions, under different conditions (salinity, temperature, and pressure). Therefore, the authors introduce this book to fill the gap in the open literature. This book compiles the thermodynamic and thermophysical properties of saline water, involving thermodynamic approaches, multicomponent models, and simple correlations and data, comparison between the correlations of properties in figures, recommendation of the most accurate correlations and methods, and the used codes to estimate these correlations and methods. It is expected that this book to be a principal source for all interests in desalination and water treatment subjects.

The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations. However, problems remain, particularly in heat conduction, astrophysics, and probability theory, whose solutions seem to defy even the most general classes of special functions.

On a Class of Incomplete Gamma Functions with Applications introduces a class of special functions, developed by the authors, useful in the analytic study of several heat conduction problems. It presents some basic properties of these functions, including their recurrence relations, special cases, asymptotic representations, and integral transform relationships. The authors explore applications of these generalized functions to problems in transient heat conduction, special cases of laser sources, and problems associated with heat transfer in human tissues. They also discuss applications to astrophysics, probability theory, and other problems in theory of functions and present a fundamental solution to time-dependent laser sources with convective-type boundary conditions.

Appendices include an introduction to heat conduction, Fourier conduction, a table of Laplace transforms, and well-known results regarding the improper integrals. Filled with tabular and graphical representations for applications, this monograph offers a unique opportunity to add to your mathematical toolbox a new and useful class of special functions.