Computational Fluid Dynamics: Principles and Applications, by Jiri Blazek

By Jiri Blazek

Computational Fluid Dynamics (CFD) is a vital layout device in engineering and likewise a considerable examine instrument in a number of actual sciences in addition to in biology. the target of this ebook is to supply college scholars with an excellent starting place for figuring out the numerical equipment hired in present day CFD and to familiarise them with sleek CFD codes by means of hands-on adventure. it's also meant for engineers and scientists commencing to paintings within the box of CFD or should you observe CFD codes. because of the exact index, the textual content can function a reference guide too. every one bankruptcy comprises an in depth bibliography, which supplies a very good foundation for additional stories. The accompanying CD-ROM includes the assets of 1-D and 2-D Euler and Navier-Stokes move solvers (structured and unstructured) in addition to of grid turbines. supplied also are instruments for Von Neumann balance research of 1-D version equations. eventually, the CD-ROM comprises the resource code of a devoted visualisation software program with graphical consumer interface.

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4. 4: Representation of a thin boundary layer. only the gradients of the flow quantities in the normal direction to the surface of the body (q-direction in Fig. 4) contribute to the viscous stresses [33], [34]. On the other hand, the gradients in the other coordinate directions (~ in Fig. 4) are neglected in the evaluation of the shear stress tensor (Eqs. 15)). We speak here of the so-called Thin Shear Layer (TSL) approximation of the Navier-Stokes equations. The motivation for the TSL modification is that the numerical evaluation of the viscous terms becomes computationally less expensive, but, within the assumptions, the solution remains sufficiently accurate.

The entropy condition prevents the occurrence of unphysical features like expansion shocks, which violate the second law of thermodynamics (decrease of the entropy). As a further consequence of the conservative discretisation, the Rankine-Hugoniot relations, which must hold across a solution discontinuity (such as a shockwave or a contact discontinuity), are satisfied directly. It is interesting to note that under certain conditions, the finite volume method can be shown to be equivalent to the finite difference method, or to a low-order finite element method.

35) kN-1 In the above expressions Eqs. 35), Ym denotes the mass fraction, hm the enthalpy, and Dm the effective binary diffusivity of species m, respectively. Furthermore, Sm is the rate of change of species m due to chemical reactions. Note that the total density p of the mixture is equal to the sum of the densities of the species PYm. Therefore, since the total density is regarded as an independent quantity, there are only (N-l) independent densities PYm left. 4. Complete System of the Navier-Stokes Equations 21 mass fraction YN is obtained from N-1 YN - 1 - ~ Ym.

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