Step 1: Concept There are three modes of heat transfer: conduction, convection, and radiation.
Step 2: Meaning Radiative heat transfer is governed by the Stefan-Boltzmann law, which states that heat flux is proportional to the fourth power of absolute temperature ($T^{4}$).
Step 3: Analysis Conduction and convection typically increase linearly with temperature differences. At very high temperatures, such as 1700$^{\circ}$C, the $T^{4}$ relationship causes radiation to grow exponentially.
Step 4: Conclusion Therefore, at high metallurgical temperatures, radiation becomes the vastly dominant mechanism of heat transfer.
Final Answer: (B)