ABSTRACT

This chapter describes the foundations of the analysis of fluid flow by considering the description of motion in terms of displacement, velocity and acceleration but without regard to the forces causing it. The velocity of a fluid particle is a function both of position and of time. A particle may have acceleration in a direction perpendicular to the direction of flow. The chapter introduces the principle of conservation of mass. The principle of the conservation of mass expresses the fact that matter can neither be created nor destroyed. In investigating many problems of fluid dynamics it is frequently assumed that the flow is one-dimensional; in other words, all the fluid is regarded as being within a single large stream-tube in which the velocity is uniform over the cross-section. The chapter examines the inter-relation between different forms of energy associated with the fluid flow, and considers some simple applications of these results.