An Introduction to Computational Fluid Dynamics: The Finite by H. Versteeg, W. Malalasekera

By H. Versteeg, W. Malalasekera

This complete textual content provides the basics of computing device Fluid Dynamics easily and obviously.

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Additional resources for An Introduction to Computational Fluid Dynamics: The Finite Volume Method (2nd Edition)

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Smaller eddies are themselves stretched strongly by somewhat larger eddies and more weakly with the mean flow. In this way the kinetic energy is handed down from large eddies to progressively smaller and smaller eddies in what is termed the energy cascade. All the fluctuating properties of a turbulent flow contain energy across a wide range of frequencies or wavenumbers (= 2πf/U where f is the frequency). 3, which gives the energy spectrum of turbulence downstream of a grid. The spectral energy E(κ) is shown as a function of the wavenumber κ = 2π/λ, where λ is the wavelength of the eddies.

16a–c) divided by the volume δxδyδz. 5). 19) Fourier’s law of heat conduction relates the heat flux to the local temperature gradient. 21) Energy equation Thus far we have not defined the specific energy E of a fluid. Often the energy of a fluid is defined as the sum of internal (thermal) energy i, kinetic energy –12 (u2 + v2 + w2) and gravitational potential energy. 1 GOVERNING EQUATIONS OF FLUID FLOW AND HEAT TRANSFER 19 takes the view that the fluid element is storing gravitational potential energy.

E. along direction −grad φ. For instance, heat is conducted in the direction of negative temperature gradients. Thus, the product n . (−Γ grad φ) is the component of diffusion flux along the outward normal vector, so out of the fluid element. Similarly, the product n . ( Γ grad φ), which is also equal to Γ(−n . e. into the fluid element. 42), the diffusive term, is thus associated with a flux into the element and represents the net rate of increase of fluid property φ of the fluid element due to diffusion.

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