The Equations Governing Heat and Single-Phase Fluid Flow and Their Simplification for Particular Applications

Abstract

This chapter begins with an explanation of the fundamental equations governing the flow of fluids, which are expressions of the continuity of mass, momentum and heat. This leads to various simplifications to suit particular circumstances, such as the flow in circular pipes. Turbulent flow and the dimensionless forms of the equations, which are necessary for the design of experiments and the cataloguing of the results in a way that suits the requirements of equipment designers, are introduced. Natural convection and thermal conduction are briefly introduced. The basis of Darcy’s law is discussed, and the governing equations are reduced to a form suitable for the analysis of the flow in permeable formations in geothermal resources.