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sisvu:description Introduction. Mathematical Foundations: Indicial Notation, Operations with Cartesian Tensors.Physical Foundations: The Continuum Concept, Basic Physical Quantities.Kinematics of Fluid Motion. Lagrangian Viewpoint, Eulerian Viewpoint, Material Derivative, Velocity, Acceleration; Path Lines, Stream Lines, Vortex Lines; Elementary Motions Analysis and Physical Interpretation of Rate of Deformation and Vorticity Tensors; Stream and Vortex Tubes. Material Derivatives of Volume, Area and Line Elements, Material Derivatives of Volume, Surface and Line Integrals.Introduction to Fluid Dynamics. Forces in fluid; Body Forces; Surface Forces: Stress Vector, Stress Tensor. Basic Laws: Integral and Differential Forms of Continuity, Momentum, Angular-Momentum and Energy Equation. Constitutive Equations: Newton?s Viscosity Law, Fourier?s Heat-Conduction Law, Thermodynamic Equations of State.Dimensional Analysis and Hydrodynamic Similitude. Physical Quantities, Basic Metrology Equation, Dimensions and Units, Bridgman?s Equation, The Homogeneity Theorem, The Pi Theorem. Hydrodynamic Similitude: Geometric, Kinematic and Dynamic Similitude. Non-dimensional Variables in Fluid Mechanics.Fluid Static. Basic Equation of Fluid Static, Equilibrium of Incompressible Fluid in Gravity Force Field, Hydrostatic Manometers, Hydrostatic Forces on Plane and Curved Surfaces, Buoyancy and Stability, Fluid in Rigid Body Motion.Integral Methods for Solving Fluid Dynamics Problems: Arbitrary, Material and Control Volume, Definitions and Basic Relations, Basic Equations in Integral Form for Control Volume. Basic Equations for One-dimensional Flow. Bernoulli Equation and Modified Bernoulli Equation ? Applications. Hydrodynamic Instruments. Bernoulli and Euler Equations for Rotating Stream Tube. Steady Incompressible Flow in Pipelines and Pipe Networks. Compressible Isentropic Flow. (en)
sisvu:description Uvod. Matematičke osnove: indeksna notacija, operacije s kartezijskim tenzorima. Fizikalne osnove: koncept kontinuuma, osnovne fizikalne veličine. Kinematika fluida. Lagrangeov i Eulerov opis strujanja, materijalna derivacija, brzina, ubrzanje; Trajektorije, strujnice, vrtložnice; Analiza gibanja čestice fluida, fizikalna interpretacija tenzora brzine deformacije i tenzora vrtložnosti; Strujna i vrtložna cijev. Materijalna derivacija volumenskog, površinskog i linijskog elementa; Materijalna derivacija volumenskog, površinskog i linijskog integrala. Uvod u dinamiku fluida. Sile u fluidu; Masene sile; Površinske sile: vektor naprezanja, tenzor naprezanja. Osnovni zakoni: integralni i diferencijalni oblici jednadžbi kontinuiteta, količine gibanja, momenta količine gibanja i energetske jednadžbe. Konstitutivne jednadžbe: Newtonov zakon viskoznosti, Fourierov zakon toplinske vodljivosti, termodinamičke jednadžbe stanja.Dimenzijska analiza i hidrodinamička sličnost. Fizikalne veličine, osnovna jednadžba metrologije, dimenzije i jedinice, Bridgmanova jednadžba, teorem homogenosti, PI teorem. Hidrodinamička sličnost: geometrijska, kinematička i dinamička sličnost; bezdimenzijske značajke u mehanici fluida.Statika fluida. Osnovna jednadžba statike fluida, ravnoteža nestlačivog fluida u polju sile teže, hidrostatski manometri, sila tlaka na ravne i zakrivljene površine, uzgon i stabilnost; Relativno mirovanje fluida.Integralne metode rješavanja problema mehanike fluida. Proizvoljni, materijalni i kontrolni volumen, definicije i osnovni odnosi. Integralni oblici osnovnih jednadžbi dinamike fluida za kontrolni volumen. Osnovne jednadžbe za jednodimenzijsko strujanje. Bernoullijeva jednadžba i modificirana Bernoullijeva jednadžba ? primjene. Hidrodinamički instrumenti. Bernoullijeva i Eulerova jednadžba za rotirajuću strujnu cijev.Stacionarmo nestlačivo strujanje u cjevovodima i cjevovodnim mrežama. Stlačivo izentropsko strujanje fluida. (hr)
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