By Morton E. Gurtin (Eds.)
This ebook offers an advent to the classical theories of continuum mechanics; specifically, to the theories of perfect, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. those theories are vital, not just simply because they're appropriate to a majority of the issues in continuum mechanics coming up in perform, yet simply because they shape a high-quality base upon which you may without difficulty build extra advanced theories of fabric habit. extra, even if realization is proscribed to the classical theories, the therapy is sleek with a big emphasis on foundations and constitution
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Additional info for An Introduction to Continuum Mechanics
Hence, the three relationships in Eqs. 2c) The nondimensional group Q/(ΩD3) is a volumetric flow coefficient. In nonhydraulic flow turbomachines, an alternative to Q/(ΩD3) that is frequently used is the velocity (or flow) coefficient Φ 5 cm/U, where U is the mean blade speed and cm the average meridional velocity. Since Q 5 cm 3 flow area ~ cm D2 and U ~ ΩD then Q cm 5Φ ~ 3 ΩD U Both of these nondimensional groups are usually referred to as a flow coefficient, Φ. The nondimensional group ρΩD2/μ is a form of Reynolds number, denoted Re.
New York, NY: McGraw-Hill. Rogers, G. F. , & Mayhew, Y. R. (1992). ). New York, NY: Longman. Rogers, G. F. , & Mayhew, Y. R. (1995). ). Malden, MA: Blackwell. , & Pruss, A. (2002). The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use. The Journal of Physical Chemistry Reference Data, 31, 387À535. Wu, C. H. (1952). A general theory of three-dimensional flow in subsonic and supersonic turbomachines in radial and mixed flow types. NACA TN 2604.
This theorem states that for M independent variables and N dimensions, there must be at least M 2 N nondimensional groups. In this case, for 6 variables ðQ; Ω; D; ρ; μ; eÞ and 3 dimensions (mass, length, time), there must be 6 2 3 5 3 independent nondimensional groups. However, the form of the nondimensional groups required is not obvious and consideration of the physics is necessary. , μ, Q) in more than one group and allows gH, η, and P to be made explicit. Hence, the three relationships in Eqs.
An Introduction to Continuum Mechanics by Morton E. Gurtin (Eds.)