{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Aerobee 150 Engine\n", "\n", "The Aerobee 150 flew on an AJ11-26 IRFNA and ANFA hypergolic pressure fed liquid motor.\n", "\n", "We have some information to start with." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from math import pi, log\n", "\n", "# Physics\n", "g_0 = 9.80665 # kg.m/s^2 Standard gravity\n", "\n", "# Chemistry\n", "rho_rfna = 1500.0 # kg/m^3 Density of IRFNA\n", "rho_fa = 1130.0 # kg/m^3 Density of Furfuryl Alcohol\n", "rho_an = 1021.0 # kg/m^3 Density of Aniline\n", "\n", "# Data\n", "Isp = 209.0 # s Average Specific Impulse accounting for underexpantion[1]\n", "r = 0.190 # m Radius of the tanks (OD of rocket)[2]\n", "Burn_time = 52.0 # s Duration of the burn[2]\n", "Mass_Fuel = 134.4 # kg Mass of the fuel burnt[1]\n", "Mass_Ox = 343.9 # kg Mass of the oxidizer burnt[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First lets compute the fuel density, O/F ratio, mass flow rate, and Thrust" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "O/F ratio: 2.6\n", "mdot: 9.20 [kg/s]\n", "Thrust: 18.9 [kN]\n" ] } ], "source": [ "rho_fuel = rho_an*0.65 + rho_fa*0.35\n", "OF = Mass_Ox / Mass_Fuel\n", "mdot = (Mass_Fuel+Mass_Ox) / Burn_time\n", "Thrust = mdot*g_0*Isp\n", "\n", "print \"O/F ratio: %6.1f\" % OF\n", "print \"mdot: %7.2f [kg/s]\" % mdot\n", "print \"Thrust: %6.1f [kN]\" % (Thrust/1000.0)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ox flow: 6.61 kg/s\n", "Fuel flow: 2.58 kg/s\n", "Ox tank length: . . . . 2.224 m\n", "Fuel tank length: 1.231 m\n" ] } ], "source": [ "# Mass flow for each propllent\n", "mdot_o = mdot / (1 + (1/OF))\n", "mdot_f = mdot / (1 + OF)\n", "print \"Ox flow: %7.2f kg/s\" % mdot_o\n", "print \"Fuel flow: %7.2f kg/s\" % mdot_f\n", "\n", "def tank_length(m, rho):\n", " l = m / (rho*pi*r*r)\n", " return l\n", "\n", "l_o = tank_length(Mass_Ox, rho_rfna)\n", "l_o += l_o*0.1 # add 10% for ullage\n", "l_f = tank_length(Mass_Fuel, rho_fuel)\n", "l_f += l_f*0.1 # add 10% for ullage\n", "\n", "print \"Ox tank length: . . . .%7.3f m\" % l_o\n", "print \"Fuel tank length: %7.3f m\" % l_f" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", " 1. Vought Astronautics, PERFORMANCE SUMMARY FOR THE AEROBEE 150A SOUNDING ROCKET VEHICLE REPORT NO. AST/E1R-13319, April 18, 1961\n", " 1. NASA Technical Note D-3912: A Compendium Of NASA Aerobee Sounding Rocket Launchings For 1964" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }