lambda1 Function

public function lambda1(model, X, s, z0, zi, u, u_new, P)

Uses

lambda1

Calculation of the first restriction of a critical point.

is the smallest eigen-value for the matrix:

Where And should be the eigen-vector corresponding to the smallest eigen-value when

Arguments

Type IntentOptional Attributes Name
class(ArModel), intent(in) :: model
real(kind=pr), intent(in) :: X(4)

Vector of variables
real(kind=pr), intent(in) :: s

Distance between the two fluids compositions to the main composition
real(kind=pr), intent(in) :: z0(:)

Molar fractions of the first fluid
real(kind=pr), intent(in) :: zi(:)

Molar fractions of the second fluid
real(kind=pr), intent(in) :: u(:)

Eigen-vector that defines the direction between the two compositions

real(kind=pr), intent(out), optional :: u_new(:)

Eigen-vector corresponding to the smallest eigenvalue of the matrix

real(kind=pr), intent(out), optional :: P

Pressure of the system [bar]

Return Value real(kind=pr)


Variables

Type Visibility Attributes Name Initial
real(kind=pr), private :: M(size(z0),size(z0))
real(kind=pr), private :: Pin
real(kind=pr), private :: T
real(kind=pr), private :: V
real(kind=pr), private :: a
real(kind=pr), private :: dlnf_dn(size(z0),size(z0))
integer, private :: i
integer, private :: j
real(kind=pr), private :: lambda(size(z0))
real(kind=pr), private :: n(size(z0))
integer, private :: nc
real(kind=pr), private :: vectors(size(z0),size(z0))
real(kind=pr), private :: z(size(z0))