Conjugate methods, also sometimes referred to as coupled equations, are used to analyze the inter-dependent relationship of two sets of governing equations--for example in understanding the movement of heat across the boundary from one object to another or the transfer of energy from a moving fluid to a surrounding elastic medium. This will be the first definitive text in years to offer a broad overview of conjugate methods and their more typical applications, with an emphasis on the advantages and benefits of this type of engineering analysis. Students and professionals alike will gain a better understanding of the practical uses for conjugate mathematical methods in solving often intractable problems in heat transfer and fluid mechanics. Ample end of chapter examples and problem sets will help to reinforce the theory and knowledge presented in the book. Some highlights are: Reviews basics of heat conduction in solids and convective heat transfer Offers both analytic and numerical methods for solving conjugate boundary condition problems Numerous detailed examples of applications in industrial problems, biomechanical systems, and other areas of heat transfer and fluid mechanics End of chapter problems and Solutions Manual