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Science and Engineering of Casting Solidification, Second by Doru Stefanescu

By Doru Stefanescu

Science and Engineering of Casting Solidification, moment Edition covers the necessities of solidification technological know-how of metals and alloys at macro- and micro-length scales at cooling charges particular to advertisement castings and quick solidification processing. The mathematical basics essential to construct a operating wisdom within the box, in particular partial differential equations and numerical research, are brought. every one subject starts off with the outline of the underlying physics, via the math required to construct analytical and numerical types. at any place attainable, an in depth description of the structure of the numerical version is supplied, through examples of types equipped at the Excel spreadsheet.

Features of this re-creation include:

  • Expanded sections on peritectic solidification and shrinkage porosity mechanisms and modeling,
  • A new bankruptcy addressing quick solidification and bulk steel glasses,
  • Additional solved problems,
  • Revised and simplified derivations of numerous models.

Science and Engineering of Casting Solidification, moment Edition will end up important to senior undergraduate and graduate scholars, in addition to to business researchers that paintings within the box of solidification quite often and casting modeling specifically. The special insurance of casting defects also will make it beneficial to business practitioners of steel casting. extra path fabrics can be found upon school request.

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Extra resources for Science and Engineering of Casting Solidification, Second Edition

Example text

Summation over the computational domain is used. In the volume-averaged model proposed by Beckermann and Viskanta (1988), Ganesan and Poirier (1990), and Ni and Beckermann (1991) all phases are considered separated. Phase quantities are continuous in one phase but discontinuous over the entire domain. Discontinuities are replaced by phase interaction relationships at interface boundary. Integration of microscopic equations over a finite volume is used. g. Wang 2 The substantial derivative of a function u is given by: ∂u Du ∂u ∂u ∂u = + ux x + u y + uz Dt ∂t ∂x ∂y ∂z It can be applied to any property of a fluid, the magnitude of which varies with time and position.

D L δ c = V . 1) Let us derive an equation for the shape of the diffusion (solutal) boundary layer. 1. Composition profile resulting from mass transfer. sivity. Under these assumptions the equation governing the diffusion process , Eq. 2) Assuming directional solidification, this equation can be used in onedimensional (1D) form. 3) Setting the reference point at the interface, the velocity in the advection term is the liquid velocity that compensates for shrinkage. It is equal to the solidification velocity but has opposite sign: V = VL − Vref → −V .

1. The following notations were used: H is the sensible enthalpy, α = k/(ρ c) is the thermal diffusivity, D is the species diffusivity, ν = µ/ρ is the kinematic viscosity, µ is the dynamic viscosity. 1. Phase quantities, diffusivities, and origin of the source term. Quantity φ Γ S Mass 1 0 - phase motion Energy H α = k/(ρ c) - phase transformation - phase motion Species C D - phase transformation - phase motion Momentum V ν = µ /ρ - phase motion - S/L interaction - natural convection - shrinkage The relevant transport equations can now be obtained from Eq.

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