By B. M. Fraeijs de Veubeke (auth.)
This booklet is predicated on lecture notes of the past due Professor de Veubeke. the topic is gifted at a degree compatible for graduate scholars in engineering, physics, or arithmetic. a few publicity to linear algebra, advanced research, variational calculus, or uncomplicated continuum mechanics will be necessary. the 1st 3rd of the ebook includes the basics of the speculation of elasticity. Kinematics of constant media, the notions of tension and equilibrium, conservation of strength, 'and the elastic constitutive legislation are every one taken care of first in a nonlinear context, then really good to the linear case. the rest of the e-book is given to 3 vintage functions of the idea, each one supplemented by way of unique re sults in accordance with using complicated variables. each of the 3 subject matters - Saint-Venant's conception of prismatic beams, aircraft deformations, and the bending of plates - is first pre sented and analyzed commonly, then rounded out with a number of particular and infrequently novel examples. the next notational conventions are typically in strength, other than the place famous on the contrary: decrease case boldface letters denote vectors or triples of Cartesian co ordinates, higher case boldface letters denote three x three matrices, repeated decrease case Latin subscripts are summed over (1,2,3), and non-repeated decrease case Latin subscripts are assumed to diversity over (1,2,3).
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V. J. Scaling of the mean velocity proﬁle for turbulent pipe ﬂow. Physics Review Letters, 78 (2), 239–242, 1997. 3. V. J. A new mean velocity scaling for turbulent boundary layers. ASME Paper FEDSM98-4950, 1998. 4. K. The kinematics of turbulent boundary layer structure. NASA TM 103859, 1991. 5. J. K. Quasi-coherent structures in the turbulent boundary layer. Part 1. Status report on a community-wide summary of the data. J. H. (eds), Near-Wall Turbulence. Hemisphere, 1989. 6. J. Organized motion in turbulent ﬂow.
27. S. R. A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by hemisphere protuberances. Journal of Fluid Mechanics, 175, 1–41, 1987. 28. S. R. A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by ﬂuid injection. Journal of Fluid Mechanics, 175, 43–83, 1987. 29. MacAulay, P. P. A tentative model of outer-region structure in a turbulent boundary layer developing on a smooth wall. In Experimental Heat Transfer, Fluid Mechanics and Thermodynamics 1991, (J.
In the wall-normal (y) direction the wall makes the ﬂow inhomogeneous. It also makes it anisotropic everywhere. This is due to two eﬀects. In the ﬁrst place the impermeability condition at the wall prevents wall-normal velocity ﬂuctuations from developing length scales much larger than y, inducing a natural scale stratiﬁcation in which larger structures are only present away from the wall. Also, the wall enforces a no-slip condition for the other two velocity components, so that viscosity cannot be neglected even at high Reynolds numbers.