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     "source": [
      "<h1> Sea Ice Growth </h1>\n",
      "(adapted from W.F. Weeks book \"On Sea Ice\", chapter 4)\n",
      "\n",
      "<h2>Cumulative freezing day relation</h2>\n",
      "Weyprecht (1875) obervered during an [expedition to Franz-Josef-Land (1872-1874)](http://de.wikipedia.org/wiki/%C3%96sterreichisch-Ungarische_Nordpolexpedition) a relation between the air temperature and the sea ice growth. From time series of the surface air temperature $T_a$ and the sea ice thickness $H$ he derived the following relationsship of the\n",
      "cumulative freezing days $\\Theta$ given in [$^\\circ$C days]\n",
      "$$\\Theta=\\int_0^t (T_f-T_a)$$ \n",
      "and the ice thickness $H$ \n",
      "$$H=c \\Theta^n$$\n",
      "whereas $c$ is a constant and the exponent $n$ is approximately $n\\approx \\frac{1}{2}$. $T_f$ is the constant freezing temperatur of sea water $T_f\\approx-2^\\circ$C.\n",
      "\n",
      "\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h2>Stefan Problem</h2>\n",
      "\n",
      "The physicist Josef Stefan theoretically investigated the problem of ice growth by solving the one-dimensional equation for heat conduction$^1$. He found that the thickness of ice growth depends on the square root of the time. In doing this he made the boundary value assumption that the ice surface temperature equals the surface air temperature. The problem is referred to as the [Stefan problem](http://en.wikipedia.org/wiki/Stefan_problem).\n",
      "    \n",
      "[1] J. Stefan (1889), \u00dcber die Theorie der Eisbildung, insbesondere \u00fcber die Eisbildung im Polarmeere, Sitzungsberichte der \u00d6sterreichischen Akademie der Wissenschaften, 98, 965-983."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h2>Sea Ice Growth Measurements</h2>\n",
      "\n",
      "During a study in 1956 at Thule, Greenland, measurements of ice thicknesses were conducted in order to investigate the flexural strength of ice. \"Ponds\" were cut in the thick ice and the new ice grown in theses ponds was removed at different times. \n",
      "\n",
      "[Anderson (1961)](http://authors.library.caltech.edu/45124/1/Anderson_1961p1170.pdf) used the empirical relation suggested by Zubov (1938,1945)\n",
      "\n",
      "$$H^2 + a_1H=a_2 \\Theta$$\n",
      "\n",
      "and found that the measurements were best explained for $a_1=5.1$ and $a_2=6.7$ (see below)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline\n",
      "from pylab import *\n",
      "def H_Anderson(Theta):\n",
      "    \"\"\" Sea ice growth parameterization of Anderson (1961)\n",
      "        based on relation suggested by Zubov (1938,1945).\n",
      "        \n",
      "        ANDERSON, DL. 1961. Growth rate of sea ice. J. Glaciol. 3:1170\u20141172\n",
      "        \"\"\"\n",
      "    a1,a2=5.1,6.7 # best fit to observations\n",
      "    H=-a1/2+sqrt((a1/2)**2+a2*Theta) # ice thickness H in cm\n",
      "    return H\n",
      "\n",
      "def H_Lebedev(Theta):\n",
      "    \"\"\"Sea ice growth parameterization of Lebedev (1938)\"\"\"\n",
      "    return 1.38*Theta**0.58\n",
      "def H_Maykut(Theta,hs):\n",
      "    \"\"\"Sea ice growth parameterization of Maykut (1986)\"\"\"\n",
      "    p=13.1*hs+16.8\n",
      "    return -p/2+sqrt((p/2)**2+12.9*Theta)\n",
      "\n",
      "def H_Maykut0(Theta):\n",
      "    T=Theta*24*60.0*60.0\n",
      "    return sqrt(2.0*k/(rho*L)*T)*100.0\n",
      "\n",
      "Theta=linspace(5,4000,1000)\n",
      "\n",
      "k=2.1 # W/m/K\n",
      "rho=910.0 #kg/m**3\n",
      "L=333.6*1000.0 # kJ/kg\n",
      "\n",
      "\n",
      "figure(figsize=(10,8))\n",
      "plot(Theta,H_Anderson(Theta),label=\"Anderson (1961)\")\n",
      "plot(Theta,H_Lebedev(Theta),label=\"Lebedev (1938)\")\n",
      "#plot(Theta,H_Maykut0(Theta),label=\"Simple model 1\")\n",
      "plot(Theta,H_Maykut(Theta,0.0),label=\"Maykut (1986) $h_s$=0 cm\")\n",
      "plot(Theta,H_Maykut(Theta,1.0),label=\"Maykut (1986) $h_s$=1 cm\")\n",
      "\n",
      "\n",
      "ylabel('Ice thickness [cm]')\n",
      "xlabel('Cumulative freezing days [$^\\circ$C days]')\n",
      "legend(loc=2)\n",
      "ax=gca()\n",
      "ax.set_xscale(\"log\")\n",
      "ax.set_yscale(\"log\")\n",
      "axis([5,1500,2,150])\n",
      "xticks([10,20,30,40, 100,1000,4000],('10','20','30','40', '100','1000','4000'))\n",
      "yticks([2, 5,10,20,60,100,150],('2','5','10','20','60','100','150'))\n",
      "grid()\n",
      "show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING: pylab import has clobbered these variables: ['power', 'random', 'fft', 'linalg', 'info']\n",
        "`%matplotlib` prevents importing * from pylab and numpy\n"
       ]
      },
      {
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       "output_type": "display_data",
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YiAgGhoezwt6e32vVooyOfscFLUOZwdf7v2bgjkE0u+uF77h5fDGyBP7+mjERbz2ZsOWz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\nIRQJs1xnYcdhlussT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       "text": [
        "<matplotlib.figure.Figure at 0x2f02a90>"
       ]
      }
     ],
     "prompt_number": 14
    }
   ],
   "metadata": {}
  }
 ]
}