**DuctExtractBranch45_CL**

Returns the pressure drop associated with an extract duct with a branch. The branch is at 45 degrees and the ducts have circular cross-section. The pressure drop should be applied to the flow from the branch. The function calls the K_extract_branch_45 function from the minor loss library.

DELTAP = **DuctExtractBranch45_CL**(F$, m_dot_3, m_dot_1, T, P, A_3, A_1)

**Inputs:**

F$: fluid string identifier

m_dot_3: mass flow rate in main duct upstream of branch (kg/s, lbm/hr)

m_dot_1: mass flow rate in branch (kg/s, lbm/hr)

T: inlet temperature (K, C, F, or R)

P: inlet pressure (bar, atm, Pa, kPa, or MPa)

A_3: upstream duct area (m^2 or ft^2)

A_1: branch duct area (m^2 or ft^2)

**Output:**

DELTAP: pressure drop (bar, atm, Pa kPa, or MPa)

**Example: **

$UnitSystem SI Mass J K Pa Degree

$Load Component Library

$VarInfo DP_duct units=Pa

m_dot_3 = 0.5 [kg/s]

m_dot_1 = 0.4 [kg/s]

T = 300 [K]

P = 100e3 [Pa]

A_1 = 0.05 [m^2]

A_3 = 0.2 [m^2]

F$ = 'Air'

DP_Duct = **DuctExtractBranch45_CL**(F$, m_dot_3, m_dot_1, T, P, A_3, A_1)

{**Solution:**

DP = 23.04 [Pa]}