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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"id": "ca8508c0-dfaa-43a8-ae0d-728696106584",
"metadata": {},
"outputs": [],
"source": [
"\n"
]
},
{
"cell_type": "markdown",
"id": "06f676ad-f84e-49df-afa9-8e4846df53cb",
"metadata": {},
"source": [
"Downstream Mach number:\n",
"M22=1+γ−12M12γM12−γ−12\n",
"M22=γM12−2γ−11+2γ−1M12\n",
"Pressure ratio:\n",
"P2P1=1+2γγ+1(M12−1)\n",
"P1P2=1+γ+12γ(M12−1)\n",
"Temperature ratio:\n",
"T2T1=(1+γ−12M12)(2γM12−(γ−1))(γ+1)2M12\n",
"T1T2=(γ+1)2M12(1+2γ−1M12)(2γM12−(γ−1))\n",
"Density ratio:\n",
"ρ2ρ1=(γ+1)M122+(γ−1)M12\n",
"ρ1ρ2=2+(γ−1)M12(γ+1)M12"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f2363adc-cdd6-491d-a403-65c7182c12a7",
"metadata": {},
"outputs": [
{
"ename": "SyntaxError",
"evalue": "invalid character '−' (U+2212) (4049633316.py, line 2)",
"output_type": "error",
"traceback": [
"\u001b[0;36m Cell \u001b[0;32mIn[2], line 2\u001b[0;36m\u001b[0m\n\u001b[0;31m M22=1+γ−12M12γM12−γ−12\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid character '−' (U+2212)\n"
]
}
],
"source": [
"Downstream Mach Number\n",
"M22=1+γ−12M12γM12−γ−12\n",
"M22=γM12−2γ−11+2γ−1M12\n",
"\n",
"Pressure Ratio\n",
"P2P1=1+2γγ+1(M12−1)\n",
"P1P2=1+γ+12γ(M12−1)\n",
"\n",
"Temperature Ratio\n",
"T2T1=(1+γ−12M12)(2γM12−(γ−1))(γ+1)2M12\n",
"T1T2=(γ+1)2M12(1+2γ−1M12)(2γM12−(γ−1))\n",
"\n",
"Density Ratio\n",
"ρ2ρ1=(γ+1)M122+(γ−1)M12\n",
"ρ1ρ2=2+(γ−1)M12(γ+1)M12\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fdf90d22-be4d-4862-9b23-76434d2e2305",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.13.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
|