20191201_004133137.pdf - x 2.4.1 2.4.2 2.4.3 Conservation of mass 44 Conservation of momentum 46 Conservation of internal energy 53 Chapter 3 Integral

# 20191201_004133137.pdf - x 2.4.1 2.4.2 2.4.3 Conservation...

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x 2.4.1 Conservation of mass / 44 2.4.2 Conservation of momentum / 46 2.4.3 Conservation of internal energy / 53 Chapter 3 Integral equation theory 56 3.1 Classification of integral equations / 57 3.2 Potentials of scalar density / 59 3.3 Direct boundary integral formulation of Poisson’s equation / 63 3.4 Direct boundary integral formulation for the momentum equations and Hydrodynamic potentials / 69 3.5 Other direct boundary integral formulations / 74 3.5.1 Interface flows with surface tension / 74 3.5.2 Penalty-function formulation for the Navier-Stokes equations and elastostatics / 76 Chapter 4 Boundary element method 79 4.1 Isoparametric boundary elements / 80 4.2 Evaluation of the coefficient matrix c / 87 4.3 Numerical treatment of the weakly singular integrals /88 4.4 Approximation of the domain integrals / 89 4.4.1 Domain grid superposition technique / 98 4.4.2 DGS-BEM technique for b u = 2 / 101 4.4.3 DGS-BEM technique for ( ) u b u , 2 x = / 104 4.4.4 DGS-BEM in three dimensional problems / 108 4.5 Iteration scheme for non-Newtonian flow problems / 115 Chapter 5 Non-Newtonian fluid flow problems 119 5.1 Poiseuille flow of a power law fluid / 119 5.2 Couette flow of a power law fluid/ 130 Chapter 6 Viscous flows containing particles 139 6.1 Stokes’ law: drag on a sphere / 140 6.2 Wall effects on the motion of a single particle / 145 6.2.1 Sphere moving parallel to a plane wall / 145 6.2.2 Sphere moving perpendicular to a plane wall / 148
7 that we want to name? From these questions proceeded all the medieval analysis of human language. On the textual level, medieval inquiry into language developed originally from encounters with the arguments of Aristotle. These were mediated to the Middle Ages predominantly by Boethius in the sixth-century. Boethius was a Roman intellectual who adopted the project of translating Aristotle’s texts into Latin and composing commentaries on them. Thanks to B oethius, most of Aristotle’s reflections on language and logic survived into

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• Spring '17
• Allen, Robert

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