pyne::enrichment Namespace Reference

Enrichment Component Class and Functions. More...

Classes
class	Cascade
	A set of physical parameters used to specify an enrichment cascade. More...
class	EnrichmentInfiniteLoopError
	Custom exception for when an enrichment solver has entered an infinite loop. More...
class	EnrichmentIterationLimit
class	EnrichmentIterationNaN
	Custom exception for when an enrichment solver iteration has produced a NaN. More...

Functions
Cascade	_fill_default_uranium_cascade ()
	Greates a cascade instance with default values for a uranium enrichment.
double	feed_per_prod (double x_feed, double x_prod, double x_tail)
double	feed_per_tail (double x_feed, double x_prod, double x_tail)
double	prod_per_feed (double x_feed, double x_prod, double x_tail)
double	prod_per_tail (double x_feed, double x_prod, double x_tail)
double	tail_per_feed (double x_feed, double x_prod, double x_tail)
double	tail_per_prod (double x_feed, double x_prod, double x_tail)
double	value_func (double x)
	Computes the value or separation potential of an assay x.
double	swu_per_feed (double x_feed, double x_prod, double x_tail)
double	swu_per_prod (double x_feed, double x_prod, double x_tail)
double	swu_per_tail (double x_feed, double x_prod, double x_tail)
double	alphastar_i (double alpha, double Mstar, double M_i)
Cascade	solve_symbolic (Cascade &orig_casc)
Cascade	solve_numeric (Cascade &orig_casc, double tolerance=1.0E-7, int max_iter=100)
void	_recompute_nm (Cascade &casc, double tolerance=1.0E-7)
void	_recompute_prod_tail_mats (Cascade &casc)
Cascade	_norm_comp_secant (Cascade &casc, double tolerance=1.0E-7, int max_iter=100)
double	_deltaU_i_OverG (Cascade &casc, int i)
Multicomponent Functions
Finds a value of Mstar by minimzing the seperative power. Note that Mstar on orig_casc represents an intial guess at what Mstar might be. This is the final function that actually solves for an optimized M* that makes the cascade! Parameters orig_casc Original input cascade. solver flag for solver to use, may be 'symbolic' or 'numeric'. tolerance Maximum numerical error allowed in L/F, N, and M. max_iter Maximum number of iterations for to perform. Returns A cascade whose N & M coorespond to the L/F value.
Cascade	multicomponent (Cascade &orig_casc, char *solver, double tolerance=1.0E-7, int max_iter=100)
Cascade	multicomponent (Cascade &orig_casc, std::string solver="symbolic", double tolerance=1.0E-7, int max_iter=100)

Variables
Cascade	default_uranium_cascade
	a cascade instance with default values for a uranium enrichment.

Detailed Description

Enrichment Component Class and Functions.

Function Documentation

_deltaU_i_OverG()

double pyne::enrichment::_deltaU_i_OverG	(	pyne_enr::Cascade &	casc,
		int	i
	)

Solves for a stage separative power relevant to the ith component per unit of flow G. This is taken from Equation 31 divided by G from the paper "Wood, Houston G., Borisevich, V. D. and Sulaberidze, G. A., 'On a Criterion Efficiency for Multi-Isotope Mixtures Separation', Separation Science and Technology, 34:3, 343 - 357" To link to this article: DOI: 10.1081/SS-100100654 URL: http://dx.doi.org/10.1081/SS-100100654

Parameters

casc	Input cascade.
i	nuclide in id form.

_norm_comp_secant()

pyne_enr::Cascade pyne::enrichment::_norm_comp_secant	(	pyne_enr::Cascade &	casc,
		double	tolerance = 1.0E-7,
		int	max_iter = 100
	)

This function solves the whole system of equations. It uses _recompute_prod_tail_mats() to find the roots for the enriching and stripping stage numbers. It then checks to see if the product and waste streams meet their target enrichments for the jth component like they should. If they don't then it trys other values of N and M varied by the Secant method.

Parameters

casc	Input cascade.
tolerance	Maximum numerical error allowed in L/F, N, and M.
max_iter	Maximum number of iterations for to perform.

Returns

A cascade whose N & M coorespond to the L/F value.

_recompute_nm()

void pyne::enrichment::_recompute_nm	(	pyne_enr::Cascade &	casc,
		double	tolerance = 1.0E-7
	)

So,ves for valid stage numbers N &nd M of a casc.

Parameters

casc	Cascade instance, modified in-place.
tolerance	Maximum numerical error allowed in N and M.

_recompute_prod_tail_mats()

void pyne::enrichment::_recompute_prod_tail_mats

(

pyne_enr::Cascade &

casc

)

This function takes a given initial guess number of enriching and stripping stages for a given composition of fuel with a given jth key component, knowing the values that are desired in both Product and Tails streams. Having this it solves for what the actual N and M stage numbers are and also what the product and waste streams compositions are.

Parameters

casc	Cascade instance, modified in-place.

alphastar_i()

double pyne::enrichment::alphastar_i	(	double	alpha,
		double	Mstar,
		double	M_i
	)

Computes the nuclide-specific stage separation factor from the overall stage separation factor alpha, the key mass Mstar, and the nulide's atomic mass M_i.

feed_per_prod()

double pyne::enrichment::feed_per_prod	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the feed per product mass ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

feed_per_tail()

double pyne::enrichment::feed_per_tail	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the feed per tails mass ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

prod_per_feed()

double pyne::enrichment::prod_per_feed	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the product per feed mass ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

prod_per_tail()

double pyne::enrichment::prod_per_tail	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the product per tails mass ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

solve_numeric()

pyne_enr::Cascade pyne::enrichment::solve_numeric	(	pyne_enr::Cascade &	orig_casc,
		double	tolerance = 1.0E-7,
		int	max_iter = 100
	)

Numeric Solver Functions

 These functions enable the numeric cascade solver.  

Finds the total flow rate (L) over the feed flow rate (F), the number of enriching stages (N), and the number of stripping stages (M).

Parameters

orig_casc	Original input cascade.
tolerance	Maximum numerical error allowed in L/F, N, and M.
max_iter	Maximum number of iterations for to perform.

Returns

A cascade whose N & M coorespond to the L/F value.

solve_symbolic()

pyne::enrichment::Cascade pyne::enrichment::solve_symbolic

(

Cascade &

orig_casc

)

A multicomponent enrichment cascade solver using a symbolic solution to the mass flow rate equations.

Parameters

orig_casc

The original state of the cascade.

Returns

A cascade solved for new N, M, and total flow rates.

swu_per_feed()

double pyne::enrichment::swu_per_feed	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the swu per feed ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

swu_per_prod()

double pyne::enrichment::swu_per_prod	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the swu per product ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

swu_per_tail()

double pyne::enrichment::swu_per_tail	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the swu per tails ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

tail_per_feed()

double pyne::enrichment::tail_per_feed	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the tails per feed mass ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.

tail_per_prod()

double pyne::enrichment::tail_per_prod	(	double	x_feed,
		double	x_prod,
		double	x_tail
	)

Computes the tails per product mass ratio for feed, product, and tails enrichments x_feed, x_prod, and x_tails.