By G. Hauke
This booklet offers the principles of fluid mechanics and delivery phenomena in a concise means. it truly is appropriate as an advent to the topic because it includes 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 (Fluid Mechanics and Its Applications)
The minus sign indicates that pressure is a negative normal stress, also called compression, that acts in the opposite direction to the exterior normal. When the normal stress is positive, then it acts in the direction of the exterior normal, producing traction. 4. This type of tensor, proportional to the identity tensor, is called an isotropic tensor. 5. For a ﬂuid in motion, the stress tensor is the sum of the action due to the pressure plus a contribution from the motion, called the viscous stress tensor τ , which is introduced in Chapter 7.
12) The surface tension depends on the pair of substances that form the interface and on the temperature. When the surface tension is positive, the molecules of each phase tend to be repelled back to their own phase. This is the case, for instance, of two inmiscible liquids. When the surface tension is negative, the molecules of both phases tend to mix, like two miscible liquids. In the case of a liquid/gas interface, the surface tension tends to maintain the interface (or free surface) straight.
In Cartesian coordinates, the components of the stress tensor are also denoted by τxx , τyy , τzz , τxy , τxz , and τyz . 3 D fs τ 12 n τ 21 τ 22 τ 23 τ 11 τ 13 P τ 31 C 2 τ 32 τ 33 B 1 Fig. 3. Inﬁnitesimal tetrahedron employed to obtain the stress tensor at the point P. Derivation of the Stress Tensor In order to determine the general expression of the stress at a point P from the stresses on three perpendicular planes, let us select the inﬁnitesimal ﬂuid volume of Fig. 7) Conclusion. If τ is known, the surface force acting on any direction can be calculated.
An Introduction to Fluid Mechanics and Transport Phenomena (Fluid Mechanics and Its Applications) by G. Hauke