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Convert fw.f90 to Python
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* Convert friction and heat_transfer to Python

* Convert fw_thermal_conductivity to Python
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timothy-nunn committed Nov 14, 2024
1 parent 22543f1 commit b84e666
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1 change: 0 additions & 1 deletion CMakeLists.txt
Original file line number Diff line number Diff line change
Expand Up @@ -74,7 +74,6 @@ FILE(GLOB PROCESS_PYTHON_SRC_PATHS ${PROCESS_PYTHON_SRC_DIR}/*.py)
LIST(APPEND PROCESS_SRCS
numerics.f90
scan.f90
fw.f90
hcpb.f90
pfcoil.f90
reinke_module.f90
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3 changes: 1 addition & 2 deletions process/blanket_library.py
Original file line number Diff line number Diff line change
Expand Up @@ -20,7 +20,6 @@
pfcoil_variables,
buildings_variables,
error_handling,
fw_module,
)
from process.utilities.f2py_string_patch import f2py_compatible_to_string
from process.coolprop_interface import FluidProperties
Expand Down Expand Up @@ -2412,7 +2411,7 @@ def pressure_drop(
# N.B. friction function Uses Haaland approx. which assumes a filled circular pipe.
# Use dh which allows us to do fluid calculations for non-cicular tubes
# (dh is estimate appropriate for fully developed flow).
lamda = fw_module.friction(reyn)
lamda = self.fw.friction(reyn)

# Pressure drop coefficient

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93 changes: 90 additions & 3 deletions process/fw.py
Original file line number Diff line number Diff line change
Expand Up @@ -4,8 +4,8 @@
constants,
fwbs_variables,
error_handling as eh,
fw_module,
process_output as po,
error_handling,
)
from process.utilities.f2py_string_patch import f2py_compatible_to_string
from process.coolprop_interface import FluidProperties
Expand Down Expand Up @@ -127,10 +127,10 @@ def fw_temp(
eh.report_error(224)

# Thermal conductivity of first wall material (W/m.K)
tkfw = fw_module.fw_thermal_conductivity(temp_k)
tkfw = self.fw_thermal_conductivity(temp_k)

# Heat transfer coefficient (W/m2K)
hcoeff = fw_module.heat_transfer(
hcoeff = self.heat_transfer(
masflx,
ob_fluid_properties.density,
afw,
Expand Down Expand Up @@ -303,3 +303,90 @@ def fw_temp(
)

return tpeakfw, cfmean, rhofmean, massrate

def fw_thermal_conductivity(self, t):
"""Calculates the thermal conductivity of the first wall
t : input real : property temperature (K)
Calculates the thermal conductivity of Eurofer (W/m/K).
"""
# Eurofer correlation, from "Fusion Demo Interim Structural Design Criteria -
# Appendix A Material Design Limit Data", F. Tavassoli, TW4-TTMS-005-D01, 2004
# t in Kelvin
return (
(5.4308 + 0.13565 * t - 0.00023862 * t * t + 1.3393e-7 * t * t * t)
* fwbs_variables.fw_th_conductivity
/ 28.34
)

def heat_transfer(self, masflx, rhof, radius, cf, viscf, kf):
"""Calculate heat transfer coefficient using Gnielinski correlation
author: M Kovari, CCFE, Culham Science Centre
masflx : input real : coolant mass flux in a single channel (kg/m2/s)
rhof : input real : coolant density (average of inlet and outlet) (kg/m3)
radius : input real : coolant pipe radius (m)
cf : input real : coolant specific heat capacity (average of inlet and outlet) (J/K)
viscf : input real : coolant viscosity (average of inlet and outlet) (Pa.s)
kf : input real : thermal conductivity of coolant (average of inlet and outlet) (W/m.K)
Gnielinski correlation. Ignore the distinction between wall and
bulk temperatures. Valid for:3000 < Re < 5e6, 0.5 < Pr < 2000
https://en.wikipedia.org/wiki/Nusselt_number#Gnielinski_correlation
"""
# Calculate pipe diameter (m)
diameter = 2 * radius

# Calculate flow velocity (m/s)
velocity = masflx / rhof

# Calculate Reynolds number
reynolds = rhof * velocity * diameter / viscf

# Calculate Prandtl number
pr = cf * viscf / kf

# Calculate Darcy friction factor, using Haaland equation
f = self.friction(reynolds)

# Calculate the Nusselt number
nusselt = (
(f / 8.0)
* (reynolds - 1000.0)
* pr
/ (1 + 12.7 * np.sqrt(f / 8.0) * (pr**0.6667 - 1.0))
)

# Calculate the heat transfer coefficient (W/m2K)
heat_transfer = nusselt * kf / (2.0 * radius)

# Check that Reynolds number is in valid range for the Gnielinski correlation
if (reynolds <= 3000.0) or (reynolds > 5.0e6):
error_handling.fdiags[0] = reynolds
error_handling.report_error(225)

# Check that Prandtl number is in valid range for the Gnielinski correlation
if (pr < 0.5) or (pr > 2000.0):
error_handling.fdiags[0] = pr
error_handling.report_error(226)

# Check that the Darcy friction factor is in valid range for the Gnielinski correlation
if f <= 0.0:
error_handling.report_error(227)

return heat_transfer

def friction(self, reynolds):
"""Calculate Darcy friction factor, using Haaland equation
author: M Kovari, CCFE, Culham Science Centre
reynolds : input real : Reynolds number
darcy_friction : output real : Darcy friction factor
Darcy friction factor, using Haaland equation, an approximation to the
implicit Colebrook-White equationGnielinski correlation.
https://en.wikipedia.org/wiki/Darcy_friction_factor_formulae#Haaland_equation
"""

# Bracketed term in Haaland equation
bracket = (
fwbs_variables.roughness / fwbs_variables.afw / 3.7
) ** 1.11 + 6.9 / reynolds

# Calculate Darcy friction factor
return (1.8 * np.log10(bracket)) ** (-2)
188 changes: 0 additions & 188 deletions source/fortran/fw.f90

This file was deleted.

24 changes: 24 additions & 0 deletions tests/unit/test_fw.py
Original file line number Diff line number Diff line change
Expand Up @@ -161,3 +161,27 @@ def test_fw_temp(fwtempparam, monkeypatch, fw):
assert rhofmean == pytest.approx(fwtempparam.expected_rhofmean, rel=1e-4)

assert massrate == pytest.approx(fwtempparam.expected_massrate, rel=1e-4)


def test_friction(monkeypatch, fw):
monkeypatch.setattr(fwbs_variables, "afw", 0.1)
monkeypatch.setattr(fwbs_variables, "roughness", 1e-6)

assert fw.friction(5500) == pytest.approx(0.0366668931278784)


def test_heat_transfer(fw):
assert fw.heat_transfer(
masflx=112.19853108876258,
rhof=8.8673250601290707,
radius=0.0060000000000000001,
cf=5184.9330299967578,
viscf=4.0416219836935569e-05,
kf=0.3211653052986152,
) == pytest.approx(1929.2210192752084)


def test_fw_thermal_conductivity(monkeypatch, fw):
monkeypatch.setattr(fwbs_variables, "fw_th_conductivity", 28.9)

assert fw.fw_thermal_conductivity(1900.0) == pytest.approx(326.70406785462256)

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