diff --git a/.github/workflows/python-app.yml b/.github/workflows/python-app.yml index 70bba55..554328e 100644 --- a/.github/workflows/python-app.yml +++ b/.github/workflows/python-app.yml @@ -3,11 +3,7 @@ name: Python application -on: - push: - branches: [ master ] - pull_request: - branches: [ master ] +on: [push, pull_request] jobs: build: diff --git a/.gitignore b/.gitignore index b00581c..7da4aff 100644 --- a/.gitignore +++ b/.gitignore @@ -1,2 +1,3 @@ /venv/ -/.idea/ \ No newline at end of file +/.idea/ +*.pyc \ No newline at end of file diff --git a/README.md b/README.md index 495d007..5b1abfa 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,27 @@ -# white-giant-injector -A repository for m5 injector design engineers to collate code performing analysis on injector flow and efficacy. +# ***OCTOPUS*** + +logo + +## A repository for m5 injector design engineers to collate code performing analysis on injector flow and efficacy. + +### Eventual planned features: +* Choice of SPI, HEM and Dyer (with Solomon correction) models +* Compressibility corrections +* Orifice types - Waxman cavitating, basic +* Estimation of orifice discharge coefficients (from empirical data) (?) +* Estimation of atomisation performance (from empirical data) (?) +* Determine pressure drop, orifice mass flow, element O/F, overall O/F, etc with the above +* Determine film cooling mass flow proportion (~20% is said to be sufficient to ignore the core O/F for temperature calculations, need to find the source for this - possibly NASA SP-8089) +* Warnings for combustion stability criteria (from empirical data) +* Document everything - kill two birds with one stone here and write up all the injector notes in preparation for the new wiki? + +### Currently in progress: +* Finding specific enthalpy and any other important chemical properties, transport properties + * Possibly with multiple source data options / averaging / sense checks +* Decisions on classes / where everything should live + * Current intended structure: Injector plate --> Manifolds --> Injector elements --> Orifices + +### Things that need fixing: +* Sure this won't stay empty long... + +SI base units used everywhere, except for possibly some final output and graphing. \ No newline at end of file diff --git a/dev.py b/dev.py new file mode 100644 index 0000000..e092eaa --- /dev/null +++ b/dev.py @@ -0,0 +1,30 @@ +from matplotlib import pyplot as plt +from numpy import linspace + +from octopus import Fluid, Orifice, STRAIGHT + + +def main(): + fluid = Fluid('N2O', T=250, P=18e5) + orifice = Orifice(fluid, 0, 15e5, STRAIGHT, 1e-2, 1e-3) + + P_cc = linspace(0, 19e5, 100) + SPI = [] + HEM = [] + DYER = [] + for Pcc in P_cc: + orifice.P_cc = Pcc + SPI.append(orifice.m_dot_SPI()) + HEM.append(orifice.m_dot_HEM()) + DYER.append(orifice.m_dot_dyer()) + + plt.plot(P_cc, SPI, label='SPI') + plt.plot(P_cc, HEM, label='HEM') + plt.plot(P_cc, DYER, label='DYER') + plt.xlabel('Downstream pressure (Pa)') + plt.ylabel('Mass Flow Rate (kg/s)') + plt.show() + + +if __name__ == "__main__": + main() diff --git a/img/logo.png b/img/logo.png new file mode 100644 index 0000000..18ba91a Binary files /dev/null and b/img/logo.png differ diff --git a/injector_mass_flow.py b/injector_mass_flow.py index 0e9b214..35f455b 100644 --- a/injector_mass_flow.py +++ b/injector_mass_flow.py @@ -2,26 +2,57 @@ import numpy as np -def fuel_mass_flow(): - N = 1000 +def mdot_spi(Cd, A, n, rho, p_chamber): + # Calculates and plots a single phase incompressible (SPI) approximation of the mass flow. - Cd = 0.77 # sensible discharge coefficient - A = np.pi * 0.5e-3 ** 2 # area of a 0.5mm radius orifice - n = 95 # number of orifices - rho = 1000 # kg/m3 - p_chamber = 1500000 # 1.5MPa, 15bar + N = 1000 dp = np.linspace(0.15 * p_chamber, 0.2 * p_chamber, N) # 25-20% of chamber pressure - mdot = n * Cd * A * np.sqrt(2 * rho * dp) # aiming for 1.3 kg/s for fuel + mdot = n * Cd * A * np.sqrt(2 * rho * dp) # aiming for 1.3 kg/s for fuel ax = plt.subplot(1, 1, 1) ax.plot(dp, mdot) ax.set_xlabel("Pressure Drop [Pa]") ax.set_ylabel("Mass Flow Rate [kgs$^{-1}$]") - ax.set_title("Fuel Flow Rate (Standard Model)") + ax.set_title("Fuel Flow Rate (SPI)") plt.show() +def mdot_hem(A): + # produces mass flow given a total area, assuming choked flow in HEM + + h_fgo = 1000 * ((-69.8) - (-355)) # J/kg + v_fgo = (1 / 40.11) - (1 / 1014.8) # m3/kg + C_fo = 1915 # J/Kg.K + T_o = 273 - 25 # K + return (h_fgo / v_fgo) * np.power(C_fo * T_o, -0.5) * A + + +def req_A(mdot): + # produces the required total area for a given mass flow using HEM + + h_fgo = 1000 * ((-69.3) - (-345)) # J/kg + v_fgo = (1 / 46.82) - (1 / 995.4) # m3/kg + C_fo = 1957 # J/Kg.K + T_o = 273 - 20 # K + return (v_fgo / h_fgo) * np.power(C_fo * T_o, 0.5) * mdot + + +def delta_p(mdot, A, n, Cd, rho): + return np.power(mdot / (A * n * Cd), 2) / (2 * rho) + + if __name__ == "__main__": - fuel_mass_flow() + Cd = 0.7 # sensible discharge coefficient + A = np.pi * 0.5e-3 ** 2 # area of a 0.5mm radius orifice + rho = 995.4 # kg/m3 + mdot = 4.1 + p_chamber = 1500000 # 1.5MPa, 15bar + + # mdot_spi(Cd, A, n, rho, p_chamber) + calc_A = req_A(mdot) + n = int(calc_A / A) + dp = delta_p(mdot, A, n, Cd, rho) + print(f'required area for {mdot}kg/s: {round(calc_A, 7)}m^2. Assuming 1mm diameter, {n} orifices required') + print(f'required pressure drop for {mdot}kg/s over {n} {round(A, 7)}m^2 orifices: {round(dp, 4)}Pa') diff --git a/n2o.csv b/n2o.csv new file mode 100644 index 0000000..c59887e --- /dev/null +++ b/n2o.csv @@ -0,0 +1,602 @@ +Temperature (K) Pressure (MPa) Density (l, kg/m3) Volume (l, m3/kg) Internal Energy (l, kJ/mol) Enthalpy (l, kJ/mol) Entropy (l, J/mol*K) Cv (l, J/mol*K) Cp (l, J/mol*K) Sound Spd. (l, m/s) Joule-Thomson (l, K/MPa) Viscosity (l, uPa*s) Therm. Cond. (l, W/m*K) Surf. Tension (l, N/m) Density (v, kg/m3) Volume (v, m3/kg) Internal Energy (v, kJ/mol) Enthalpy (v, kJ/mol) Entropy (v, J/mol*K) Cv (v, J/mol*K) Cp (v, J/mol*K) Sound Spd. (v, m/s) Joule-Thomson (v, K/MPa) Viscosity (v, uPa*s) Therm. Cond. (v, W/m*K) +182.33 0.087837 1237.4 0.00080818 -0.18142 -0.17830 -0.96900 42.295 75.603 1149.6 -0.26723 undefined undefined 0.024294 2.6115 0.38292 14.931 16.411 90.017 25.545 34.993 211.93 44.590 undefined undefined +182.54 0.088990 1236.7 0.00080858 -0.16541 -0.16225 -0.88125 42.282 75.607 1148.2 -0.26690 undefined undefined 0.024243 2.6434 0.37831 14.935 16.417 89.942 25.569 35.028 212.01 44.444 undefined undefined +182.75 0.090155 1236.1 0.00080899 -0.14941 -0.14620 -0.79360 42.269 75.612 1146.9 -0.26656 undefined undefined 0.024192 2.6755 0.37377 14.939 16.422 89.867 25.592 35.063 212.09 44.299 undefined undefined +182.97 0.091332 1235.5 0.00080940 -0.13340 -0.13014 -0.70604 42.256 75.617 1145.5 -0.26623 undefined undefined 0.024141 2.7079 0.36929 14.944 16.428 89.792 25.616 35.097 212.17 44.154 undefined undefined +183.18 0.092521 1234.9 0.00080980 -0.11739 -0.11409 -0.61858 42.243 75.622 1144.1 -0.26589 undefined undefined 0.024090 2.7406 0.36488 14.948 16.434 89.718 25.639 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47.361 2213.3 205.85 4.5940 undefined undefined 3.0634e-05 352.27 0.0028388 13.704 14.597 55.157 50.783 2874.4 181.45 7.9796 undefined undefined +309.10 7.1774 541.36 0.0018472 11.953 12.537 48.481 47.948 3465.9 200.43 4.8517 undefined undefined 1.8379e-05 366.43 0.0027290 13.563 14.425 54.588 51.020 4404.8 181.15 7.7067 undefined undefined +309.31 7.2109 519.94 0.0019233 12.143 12.753 49.171 48.775 7566.1 194.05 5.2081 undefined undefined 7.6741e-06 387.12 0.0025832 13.358 14.178 53.778 51.236 9197.1 180.98 7.3246 undefined undefined +309.52 7.2447 452.01 0.0022123 12.745 13.450 51.414 undefined undefined undefined 6.2530 undefined undefined 3.5202e-19 452.01 0.0022123 12.745 13.450 51.414 undefined undefined undefined 6.2530 undefined undefined \ No newline at end of file diff --git a/octopus/__init__.py b/octopus/__init__.py new file mode 100644 index 0000000..def57ac --- /dev/null +++ b/octopus/__init__.py @@ -0,0 +1,5 @@ +from .main import * +from .utils import * + +# define injector orifice types +STRAIGHT = 0 diff --git a/octopus/main.py b/octopus/main.py new file mode 100644 index 0000000..b3fa539 --- /dev/null +++ b/octopus/main.py @@ -0,0 +1,267 @@ +"""Implementation of injector classes. + +References: + - [1] - Thermophyiscal properties of nitrous oxide, + IHS ESDU, http://edge.rit.edu/edge/P07106/public/Nox.pdf +""" + +from numpy import pi, sqrt, array, log, exp, float64, nan_to_num +from scipy.optimize import least_squares +from thermo import chemical + + +from .utils import derivative + + +class Fluid(chemical.Chemical): + """Inherits the thermo Chemical class, and represents a fluid with some overriden properties""" + + def __init__(self, ID: str, T: float = 298.15, P: float = 101325): + super().__init__(ID, T, P) + + def alpha_0(self, delta, tau): + """calculates the reduced helmholz idea gas energy if the chemical is nitrus oxide""" + # symbol|superscript|subscipt --> c_p^0 = cp0 + if self.ID == 'N2O': + + a1 = -4.4262736272 + a2 = 4.3120475243 + c0 = 3.5 + c1 = 0 # not needed + c2 = 1 # not needed + + v = array([2.1769, 1.6145, 0.48393]) + u = array([879.0, 2372.0, 5447.0]) + + alpha_0 = a1 \ + + a2 * tau \ + + log(delta) \ + + (c0 - 1) * log(tau) \ + - (c1 * self.Tc ** c2) / (c2 * (c2 + 1)) * tau ** (-c2) \ + + sum(v * log(1 - exp(-u * tau / self.Tc))) + return alpha_0 + + else: + return None + + def alpha_r(self, delta, tau): + """calculates the reduced helmholz residual energy if the chemical is nitrus oxide""" + # symbol|superscript|subscipt --> c_p^0 = cp0 + if self.ID == 'N2O': + + n1 = 0.88045 + n2 = -2.4235 + n3 = 0.38237 + n4 = 0.068917 + n5 = 0.00020367 + n6 = 0.13122 + n7 = 0.46032 + n8 = -0.0036985 + n9 = -0.23263 + n10 = -0.00042859 + n11 = -0.042810 + n12 = -0.023038 + + alpha_r = n1 * delta * tau ** 0.25 + \ + n2 * delta * tau ** 1.25 + \ + n3 * delta * tau ** 1.5 + \ + n4 * delta ** 3 * tau ** 0.25 + \ + n5 * delta ** 7 * tau ** 0.875 + \ + n6 * delta * tau ** 2.375 * exp(-delta) + \ + n7 * delta ** 2 * tau ** 2 * exp(-delta) + \ + n8 * delta ** 5 * tau ** 2.125 * exp(-delta) + \ + n9 * delta * tau * 3.5 * exp(-delta ** 2) + \ + n10 * delta * tau ** 6.5 * exp(-delta ** 2) + \ + n11 * delta ** 4 * tau ** 4.75 * exp(-delta ** 2) + \ + n12 * delta ** 2 * tau ** 12.5 * exp(-delta ** 3) + return alpha_r + else: + + return None + + def rho_g(self, T): + A = [-878.637631, 357.7403382, 574.66924864, -972.57488693, 630.47903568] + tau = 1 - T / self.Tc + return nan_to_num(self.rhoc + A[0] * (tau ** 0.35 - 1) + sum(a * tau ** i for i, a in enumerate(A))) + + def rho_l(self, T): + A = [899.61701036, 179.53626729, 857.66247459, -2160.66039529, 2029.1923931] + tau = 1 - T / self.Tc + return nan_to_num(self.rhoc + A[0] * (tau ** 0.35 - 1) + sum(a * tau ** i for i, a in enumerate(A))) + + def a0_t(self, delta, tau): + return derivative(self.alpha_0, 1, delta, tau) + + def a0_tt(self, delta, tau): + return derivative(self.a0_t, 1, delta, tau) + + def ar_d(self, delta, tau): + return derivative(self.alpha_r, 0, delta, tau) + + def ar_t(self, delta, tau): + return derivative(self.alpha_r, 1, delta, tau) + + def ar_dd(self, delta, tau): + return derivative(self.ar_d, 0, delta, tau) + + def ar_dt(self, delta, tau): + return derivative(self.ar_d, 1, delta, tau) + + def ar_tt(self, delta, tau): + return derivative(self.ar_t, 1, delta, tau) + + def dp_drho(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return self.R_specific * T * (1 + 2 * delta * self.ar_d(delta, tau) + delta * delta * self.ar_dd(delta, tau)) + + def dg_drho(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return self.R_specific * T * (2 * self.ar_d(delta, tau) + delta * self.ar_dd(delta, tau)) + + def p(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return rho * self.R_specific * T * \ + (1 + delta * self.ar_d(delta, tau)) + + def u(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return self.R_specific * T * \ + tau * (self.a0_t(delta, tau) + self.ar_t(delta, tau)) + + def h(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return self.R_specific * T * \ + (1 + tau * (self.a0_t(delta, tau) + self.ar_t(delta, tau)) + delta * self.ar_d(delta, tau)) + + def s(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return self.R_specific * \ + (tau * (self.a0_t(delta, tau) + self.ar_t(delta, tau)) - self.alpha_0(delta, tau) - self.alpha_r(delta, tau)) + + def g(self, rho, T): + delta = rho / self.rhoc + tau = self.Tc / T + return self.R_specific * T * \ + (1 + self.alpha_0(delta, tau) + self.alpha_r(delta, tau) + delta * self.ar_d(delta, tau)) + + def fun_ps(self, x, u, y): + return [self.get_properties(x[0], x[1])[var] - val for var, val in zip(u, y)] + + def get_properties(self, rho, T): + rhog = self.rho_g(T) + rhol = self.rho_l(T) + + if rho < rhog: + p = self.p(rho, T) + chi = 1.0 + h = self.h(rho, T) + s = self.s(rho, T) + + elif rho > rhol: + p = self.p(rho, T) + chi = float64(0.0) + h = self.h(rho, T) + s = self.s(rho, T) + else: + p = self.VaporPressure(T) + chi = rhog * (rhol - rho) / (rho * (rhol - rhog)) + h = self.h(rhog, T) * chi + self.h(rhol, T) * (1 - chi) + s = self.s(rhog, T) * chi + self.s(rhol, T) * (1 - chi) + + res = {'p': p, 'chi': chi, 'h': h, 's': s} + for key in res: + if isinstance(res[key], type(None)): + print(key,res[key],rho,rhol,rhog) + return res + + +class Manifold: + """The manifold class is used to organise injection elements by + their propellant, and provide fluid property attributes to elements.""" + + def __init__(self, fluid, T_inlet, p_inlet): + self.T_inlet = T_inlet # Stagnation temperature, Kelvin + self.p_inlet = p_inlet # Stagnation, Pa + self.fluid = fluid + + if self.fluid.phase != 'l': + raise ValueError("Fluid is entering the manifold as a non-liquid!") + + self.rho = self.fluid.rho + self.Cp = self.fluid.Cp + + +class Orifice: # WIP + """The orifice class is used to model thermodynamic changes in the + fluid as it moves from the manifold into the combustion chamber """ + + def __init__(self, fluid, chi0, P_cc, orifice_type, L, D, Cd=0.7): + # subscript o represents initial conditions at stagnation + self.fluid = fluid + self.P_o = fluid.P + self.chi0 = chi0 + + self.P_cc = P_cc + self.orifice_type = orifice_type + self.L = L + self.D = D + self.A = 0.2 * pi * self.D ** 2 + self.Cd = Cd + + ''' + if orifice_type == 0: + # omega is a parameter from Juang's paper relating pressure and temperature in the isentropic expansion + # eta is the critical pressure ratio + self.omega = self.C_fo * self.T_o * self.P_o * (self.v_fgo / self.h_fgo) ** 2 / self.v_fo + self.eta = 0.55 + 0.217 * log(self.omega) - 0.046 * log(self.omega) ** 2 + 0.004 * log(self.omega) ** 3 + ''' + + def m_dot_SPI(self): + if self.orifice_type == 0: + p0 = self.P_o + chi0 = self.chi0 + u = ['p', 'chi'] + y = [p0, chi0] + initial = least_squares(self.fluid.fun_ps, [800, 250], args=[u, y]) + rho0, T0 = initial.x + return self.A * sqrt(2 * rho0 * (self.P_o - self.P_cc)) + + def m_dot_HEM(self): + if self.orifice_type == 0: + # find initial conditions + # chi0,p0 known + p0 = self.P_o + chi0 = self.chi0 + + u = ['p', 'chi'] + y = [p0, chi0] + initial = least_squares(self.fluid.fun_ps, [800, 250], args=[u, y]) + rho0, T0 = initial.x + h0 = self.fluid.get_properties(rho0, T0)['h'] + s0 = self.fluid.get_properties(rho0, T0)['s'] + + # set final conditions + # p1, s1 known + p1 = self.P_cc + s1 = s0 + + u = ['p', 's'] + y = [p1, s1] + + final = least_squares(self.fluid.fun_ps, [500, 245], args=[u, y]) + rho1, T1 = final.x + h1 = self.fluid.get_properties(rho1, T1)['h'] + X1 = self.fluid.get_properties(rho1, T1)['chi'] + + return self.A * rho1 * sqrt(h0 - h1) + + def m_dot_dyer(self): + kappa = 1 # fluid enters orifice at vapour pressure + W = 1 / (1 + kappa) + return self.Cd * ((1 - W) * self.m_dot_SPI() + W * self.m_dot_HEM()) diff --git a/octopus/utils.py b/octopus/utils.py new file mode 100644 index 0000000..92ea72b --- /dev/null +++ b/octopus/utils.py @@ -0,0 +1,39 @@ +from collections import OrderedDict +from csv import reader + +from numpy import array, nan_to_num + + +def derivative(f, axis, *args, dx=0.01): + if axis >= len(args): + raise ValueError("axis index too high") + args_l = list(args) + args_h = list(args) + args_l[axis] -= dx + args_h[axis] += dx + + return nan_to_num(array((f(*args_h) - f(*args_l)) / (2 * dx))) + + +class Nist: + def __init__(self, filename): + with open(f'{filename}.csv', newline='') as f: + csvreader = reader(f, delimiter='\t') + rows = [row for row in csvreader] + self.data = OrderedDict() + for i, header in enumerate(rows[0]): + self.data[header] = [float(row[i]) if row[i] != 'undefined' else None for row in rows[1:]] + + def list_fields(self): + return [key for key in self.data.keys()] + + def get_fields(self, *fields): + data = [] + for field in fields: + if isinstance(field, int): + data.append(array(self.data.values())[field]) + elif field in self.data.keys(): + data.append(array(self.data[field])) + else: + data.append(None) + return data diff --git a/requirements.txt b/requirements.txt new file mode 100644 index 0000000..59bc903 --- /dev/null +++ b/requirements.txt @@ -0,0 +1,29 @@ +atomicwrites==1.4.0 +attrs==20.3.0 +colorama==0.4.4 +cycler==0.10.0 +flake8==3.9.0 +fluids==1.0.0 +importlib-metadata==3.7.3 +iniconfig==1.1.1 +kiwisolver==1.3.1 +matplotlib==3.3.4 +mccabe==0.6.1 +numpy==1.20.1 +packaging==20.9 +pandas==1.2.3 +Pillow==8.1.2 +pluggy==0.13.1 +py==1.10.0 +pycodestyle==2.7.0 +pyflakes==2.3.0 +pyparsing==2.4.7 +pytest==6.2.2 +python-dateutil==2.8.1 +pytz==2021.1 +scipy==1.6.1 +six==1.15.0 +thermo==0.1.40 +toml==0.10.2 +typing-extensions==3.7.4.3 +zipp==3.4.1 diff --git a/test_octopus.py b/test_octopus.py new file mode 100644 index 0000000..d31cf53 --- /dev/null +++ b/test_octopus.py @@ -0,0 +1,21 @@ +from thermo import chemical + +from octopus import Fluid, Manifold + + +def test_octopus_Fluid(): + water = Fluid("water") + assert isinstance(water, chemical.Chemical) + + +''' +def test_octopus_FluidMixture(): + IPA95 = Fluid("isopropanol", name_2="water", mf_1=0.95, mf_2=0.05) + assert isinstance(IPA95.fluid, thermo.chemical.Mixture) +''' + + +def test_octopus_Manifold(): + IPA = Fluid("isopropanol") + manifold = Manifold(IPA, 300, 1.75E6) + assert isinstance(manifold.fluid, chemical.Chemical)