Continuum Hypothesis Fluid Mechanics Pdf

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For a single molecule, or a small cluster of molecules, many macroscopic quantities loose their meaning. The continuum hypothesis allows to define the fluid in terms of macroscopic properties. Exercise: Recall the orders of magnitude for the scales in a typical fluid. The representation of the fluid as a continuum is in contrast with what we know today about the molecular structure of matter. Verify the continuum hypothesis • The continuum hypothesis allows to define the fluid in terms of macroscopic properties Density (ρ): mass of material per unit volume [Kg/m3] – If the density is constant the Tags Fluid mechanics is supposed to describe motion of fluids and related phenomena at macroscopic scales, which assumes that a fluid can be regarded as a continuous mechanics is a branch of continuum mechanics, which models matter from a macroscopic viewpoint without using the information that it is made out of molecules Created Date/26/ PM Basic Concepts in Fluid Mechanics. Density (ρ): mass of material per unit volume [Kg/m3] If the density is constant the fluid is said incompressible. Therefore, a fluid is simply a material that flows. This chapter will define a fluid and introduce important concepts, like continuum hypothesis and local thermodynamic equilibrium, which The oupling between molecular and macroscopic scales. Besides traveling through space, they spin, wiggle and change their shape Fluid mechanics is the science and technology of flu-ids either at rest (fluid statics) or in motion (fluid dynamics) and their effects on boundaries such as solid surfaces or in-terfaces with other fluids. For example, to speak about the pressure of a Deformation that continues after the force is removed is called flow. Those molecules are in constant motion. Real fluids are made of molecules far too small for us to observe directly. Definition of a fluid: A substance that deforms continuous-ly when subjected to a shear stress Macroscopic Properties. The measure of the flow compressibility is the Mach number: the ratio of the fluid velocity and the speed of sound, a mechanics is a branch of continuum mechanics, which models matter from a macroscopic viewpoint without using the information that it is made out of molecules (microscopic viewpoint).