By G. Hauke

This booklet offers the principles of fluid mechanics and shipping phenomena in a concise approach. it's compatible as an creation to the topic because it comprises many examples, proposed difficulties and a bankruptcy for self-evaluation.

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**Additional resources for An Introduction to Fluid Mechanics and Transport Phenomena (Fluid Mechanics and Its Applications)**

**Example text**

3. Du No¨ uy balance to measure surface tension. 4 Fluid Statics Fluid statics is the part of ﬂuid mechanics that deals with ﬂuids when there is no relative motion between the ﬂuid particles. Typically this includes two situations: when the ﬂuid is at rest and when it moves like a rigid solid. This chapter will show how to calculate the pressure ﬁeld in ﬂuids at rest and how to calculate the interaction forces between the ﬂuid and submerged surfaces. 1 The Fundamental Equation of Fluid Statics Let us take an arbitrary ﬂuid volume V , with surface S.

The fundamental idea is that to calculate f s in any plane, the stresses acting on three perpendicular planes are necessary. That is, we need 3 planes× 3 forces = 9 data per point. These stresses are gathered in the stress tensor. 1 (Stress tensor). 2 (Components of the stress tensor). The component τij of the stress tensor is the stress that acts on the plane perpendicular to the axis i and in the direction of the axis j for foreground faces and in the opposite direction for background faces. z y x Fig.

Fig. 8. The plume of a chimney is a streakline. Streamlines indicate the velocity direction. They can be visualized by implanting little ﬂags inside the ﬂuid and observing their orientation. The streamlines can be obtained by drawing lines tangent to the ﬂags. They are a rather mathematical object. The trajectory is the path followed by a ﬂuid particle. For example, the braking marks on a road indicate the position that a tire has been occupying while the wheel was being dragged. They depict, therefore, the trajectory of the tire.