What can I put a kilowatt into? (Or: help me save my hairdryers)
To dissipate \$ 1\mathrm{kW} \$ at \$ 14\mathrm{V} \$ you need a resistor with a resistance of \$ R = \frac{\mathrm{V}^2}{\mathrm{W}} = \frac{\left(14\mathrm{V}\right)^2}{1000\mathrm{W}} = 0.196\mathrm{\Omega} \$. You can buy a \$ 0.25\mathrm{\Omega} \$ \$1 \mathrm{kW} \$ resistor on Digikey for $54.95 (Part no. FSE100022ER250KE).

Using two or 3 of them in parallel would dissipate \$ 2.35 \mathrm{kW} \$ which is within \$ 5\% \$ of your goal of \$ 2.24\mathrm{kW} \$. If you use \$ 0.25\mathrm{\Omega} \$ resistors then the current will be \$ \frac{ 14\mathrm{V} }{ 0.25\mathrm{\Omega} } = 56\mathrm{A} \$.  So you will need a 8 AWG or larger wire going to each resistor.

Alternatively you could wrap some Nichrome wire around a high temperature core (such as a cinder block) to make your own power resistor.  This PDF gives some information on NiChrome wire. 14 AWG NiCr A wire has a resistance of \$ 0.1587\mathrm{\Omega} \$ per foot.  NiChrome-A wire has a melting point of about \$ 1800\mathrm{°F} \$. If we run about \$ 29\mathrm{A} \$ through the wire the wire will heat to about \$ 1400\mathrm{°F} \$ which leaves \$ 400\mathrm{°F} \$ of margin.

If you run 5 strands at \$ 32\mathrm{A} \$ each you will have \$ 160\mathrm{A} \$ and be somewhere in the \$ 1400\mathrm{°F} \$ range.
To make \$ 32\mathrm{A} \$ we need the resistance of the wire to be \$ \frac{14\mathrm{V}}{32\mathrm{A}} = 0.4375\mathrm{\Omega} \$.
To make \$ 0.4375\mathrm{\Omega} \$ we need the wire length to be \$ \frac{0.4375\mathrm{\Omega}}{0.1587 \mathrm{\Omega}/{\mathrm{ft}}} = 2.76\mathrm{ft} \$ (2ft 9in). \$ 2.76\mathrm{ft} \cdot 5\ \text{parallel strands} = 13.8\mathrm{ft} \$. Wrap each of the 5 strands around the cinder block so they ar not touching or alternatively use 5 separate cinder blocks.

Wire each strand to the battery in parallel using at least 12 AWG wire for each connection.  Dont make the connection with something that could melt such as jumper cables with plastic handles.  Also, the copper wire must be run physically separate in the area near the NiChrome because it is likely that some of the insulation will melt.

You can purchase a 21 ft spool of 14 AWG NiChrome wire from McMaster for $19.13. (Part no.
8880K11) Alternatively you can purchase at 20 ft spool from Jacobs Online for $15.00.