Continuum Mechanics and Fluid Mechanics
O. Molerus Lehrstuhl für Mechanische Verfahrenstechnik (1968-2002) Universität Erlangen-Nürnberg Cauerstraße 4 91058 Erlangen GermanyAbstract
The continuum concept in fluid mechanics is an a priori assumption, so it cannot be derived from first principles. Nevertheless it can be disproved by logical arguments. Just the definition of the empirical quantity viscosity requires that it must reflect the net result of a process, namely thermal mobility of the molecules. From this fact it follows conclusively that any continuum concept of viscous flow is meaningless. The consequences of the misconception continuum are discussed.
Keywords: Continuum; Thermal mobility; Viscosity
Abstract
State-of-the-art theoretical fluid mechanics is easily disproved by application of its own rules to its own statements. This identified built-in inconsistency enforces a new approach which implies that in physics of fluid flow behaviour is defined by properties, but not vice versa.
Keywords: Continuum; Thermal mobility; Viscosity