By G. Hauke
This ebook provides the principles of fluid mechanics and shipping phenomena in a concise manner. it really is appropriate as an advent to the topic because it comprises many examples, proposed difficulties and a bankruptcy for self-evaluation.
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Extra resources for An Introduction to Fluid Mechanics and Transport Phenomena (Fluid Mechanics and Its Applications)
3 Arbitrary Lagrangian-Eulerian Description (ALE) This description ﬁnds application in modern computational tools developed for analysis in engineering and sciences. It consists of recording data at points which move arbitrarily. For example, in a numerical computation the ﬂuid properties are calculated at the mesh nodes. If the mesh moves, then we can use an Arbitrary Langrangian-Eulerian formulation to calculate the ﬂuid variables at the mesh nodes. 2 The Substantial or Material Derivative In classical mechanics, physical laws are formulated for a piece of matter, that is, for a particle or a set of particles.
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.
4 Streamlines, Trajectories and Streaklines 21 v v v Fig. 6. The streamline is tangent to the velocity vector at every point. 4 (Trajectory). The trajectory or path is the track followed by a ﬂuid particle. Fig. 7. Trajectory. The ﬂuid particle follows the plotted line. 5 (Streakline). The streakline is the geometric place occupied by ﬂuid particles that have passed by the same point at previous times. 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.