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April 23, 2012: Equation of Mixture Fraction and Variance of Mixture Fraction in The Flamelet Solver

The document discusses equations for solving the variance of mixture fraction in a flamelet solver. Equation 1 shows terms for solving the equation of mixture fraction, including a divergence and laplacian term. Equation 2 shows additional terms for solving the equation of variance of mixture fraction, including production and destruction terms.

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Mohmmed Mahmoud
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54 views1 page

April 23, 2012: Equation of Mixture Fraction and Variance of Mixture Fraction in The Flamelet Solver

The document discusses equations for solving the variance of mixture fraction in a flamelet solver. Equation 1 shows terms for solving the equation of mixture fraction, including a divergence and laplacian term. Equation 2 shows additional terms for solving the equation of variance of mixture fraction, including production and destruction terms.

Uploaded by

Mohmmed Mahmoud
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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April 23, 2012

Abstract
Equation of mixture fraction and variance of mixture fraction in the
flamelet solver
// Solving equation of variance of mixture fraction
fvScalarMatrix csiEqn
(
(
fvm::div(phi, csi)
- fvm::Sp(fvc::div(phi), csi)
- fvm::laplacian(turbulence->mut()/sigmat, csi)
)
)

e − ∇ • µt ∇Z
∇ • φZe − Sp((∇ • φ)Z) e (1)
σ
// Solving equation of variance of mixture fraction
fvScalarMatrix csiv2Eqn,
(
(
fvm::div(phi, csiv2)
- fvm::Sp(fvc::div(phi), csiv2)
- fvm::laplacian(turbulence->mut()/sigmat, csi)
- Cg*turbulence->mut()*magSqr(fvc::grad(csi))
+ Cd*rho*turbulence->epsilon()/(turbulence->k()+k small)*csiv2
)
)

f00 )−∇• µt ∇Z 
p
∇•φZf00 −Sp((∇•φ)Z f00 +Cg∗µt ∗| ∇Z f00 |+Cd∗ρ∗ f00
∗Z
σ k + ksmall
(2)

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