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The subject of this course is to model some important processes in physics,
technology and environment. This means the derivation of the basic equations
of elasticity and fluid dynamics. Further, the porous media flows and the
propagation of pollutions in fluids are modelled. Also some basic simplified
but technically relevant models are derived from these equations and their
solution is presented.
Last update: FEIST/MFF.CUNI.CZ (28.04.2008)
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To give a knowledge of some mathematical models of physical processes Last update: FEIST/MFF.CUNI.CZ (28.04.2008)
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Feistauer M.:Mathematical Methods in Fluid Dynamics, Longman Scientific-Technical, Harlow, l993 Nečas J.,Hlaváček I.: Mathematical Theory of Elastic and Elastico-Plastic Bodies, Elsevier, Amsterdam, 1981 Last update: T_KNM (16.05.2008)
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Lectures in a lecture hall. Last update: T_KNM (16.05.2008)
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Examination according to the syllabus. Last update: T_KNM (16.05.2008)
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Derivation of equations describing the flow:
Basic concepts of fluids, method of description of their motion, the transport theorem, basic physical laws (conservation of mass, mmomentum a nd energy) and their formulation in the form of partial differential equations, constitutive and rheological relations, equations of motion of general fluids, Euler and Navier-Stokes equations, basic cocepts of thermodynamics, laws of thermodynamics.
Formulation of boundary value problems of the theory of elasticity:
Stress tensor, conditions of equilibrium, finite strain tensor, small strain tensor, tensile test, generalized Hook's law, , Lamé and Beltrami-Michell equations, basic boundary value problems of elasticity. Last update: T_KNM (16.05.2008)
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basic knowledge from calculus Last update: FEIST/MFF.CUNI.CZ (28.04.2008)
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