ABSTRACT

This chapter presents the basic equations of fluid mechanics by using the control volume approach. It explores an equation that expresses the conservation of energy. The chapter discusses how to apply the continuity, momentum, energy and Bernoulli equations to problems. The Bernoulli equation gives a relationship between pressure, velocity, and position or elevation in a flow field. The momentum and the energy equations both gave the Bernoulli equation for frictionless flow with no external heat transfer and no shaft work. In flow situations, solution of a problem often requires determination of a velocity. A flow is said to be two-dimensional if the fluid or the flow parameters have gradients in two directions. It is possible to assume one-dimensional flow in many cases in which the flow is two-dimensional to simplify the calculations required to obtain a solution. Streaklines are yet another aid in visualizing flow direction.