By G. Hauke
This booklet provides the rules of fluid mechanics and shipping phenomena in a concise manner. it really is 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 info for An Introduction to Fluid Mechanics and Transport Phenomena
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. The streamlines can be obtained by drawing lines tangent to the ﬂags.
In this case, the line, which is the intersection of the three interfaces, is called the contact line. The angle that two interfaces form at the contact line is called the contact angle and depends on the surface tension of all interfaces. Therefore, the contact angle depends solely on the three substances and the temperature. 2. Surface tension for various pairs of ﬂuids at 20◦ in N/m × 103 . 8 487 22 29 375 <0 35 Water σdl σdl θ h 2R Fig. 7. Liquid ascending through a capillary. where U and L are a characteristic velocity and length scale of the problem, respectively.
9) The last step was given taking into account that the relative velocity v of the ﬂuid particles with respect to the reference system is zero. 6), ∇p = ρf m Next we will cover examples on hydrostatics, manometry and forces on submerged structures. 2 Applications 49 P atm z g x Fig. 1. Hydrostatics. Axes. 1 Hydrostatics Hydrostatics is the part of ﬂuid statics dedicated to incompressible ﬂuids. Let us calculate the pressure distribution in a liquid at rest. Take the coordinate axes of Fig. 1, where z is the upward vertical axis.
An Introduction to Fluid Mechanics and Transport Phenomena by G. Hauke