By G. Hauke
This booklet provides the principles of fluid mechanics and shipping phenomena in a concise approach. it's compatible as an advent to the topic because it comprises many examples, proposed difficulties and a bankruptcy for self-evaluation.
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Extra info for An Introduction to Fluid Mechanics and Transport Phenomena
B) The pressure increases linearly with depth. (c) The pressure in a liquid does not depend on the shape of the container. 2 Applications 51 Patm ρa 0 3 1 2 z ρb Fig. 3. Manometer. 2 Manometry A manometer is a device to measure the gage pressure. A typical manometer is depicted in Fig. 3. In order to derive the expression that gives the pressure in a manometer, the hydrostatic equation should be applied within the same ﬂuid, from the point of measurement to the point of reference pressure. For the manometer of Fig.
An important trait of transport by diﬀusion is that it can occur at a zero macroscopic velocity. As an example, heat in a solid propagates by diﬀusion. In a closed room, a scent placed in a corner ends up diﬀusing to the whole space. Another important characteristic of diﬀusive transport is that variations of ﬂuid properties must exist. If the ﬂuid variable is constant, then there is no transport by diﬀusion for that property. v Fig. 5. Transport of a river spillage by convection and diﬀusion. But in ﬂuids it is common that both transport phenomena occur simultaneously.
16) within the columns of ﬂuid a and b, p1 = p0 + ρa g(z0 − z1 ) p2 = patm + ρb g(z3 − z2 ) Combining the three above equations the desired result is attained. 3 Fluid Statics of an Isothermal Perfect Gas When the ﬂuid is a gas, the density is a function of pressure. 21) 52 4 Fluid Statics where Rgas is the gas constant, p the absolute pressure, ρ the density and T the absolute temperature. 4 Forces over Submerged Surfaces For a ﬂuid at rest, the surface forces are only due to the pressure. 23) r × (−pn) dS = S P atm n O r Fig.