Unlocking the Mystery of Nanowires: Tip Temperature Calculation Revealed!

Curious about the tip temperature of a 10-nm diameter silicon carbide nanowire?

Wonder no more! What is the tip temperature when the wire length reaches 500 nm, in Kelvin?

The tip temperature of the nanowire is approximately 3200 K.

Explanation: To calculate the tip temperature of the 10-nm diameter silicon carbide nanowire, grown on a substrate at 2400 K and surrounded by gas at 8000 K with a convective coefficient of 1.5 x 10⁵ W/m².K, we use the heat balance equation incorporating conduction, convection, and radiation.

To estimate the tip temperature of the nanowire, we need to consider the heat balance equation, which accounts for different modes of heat transfer. The nanowire is grown on a silicon carbide surface at 2400 K and surrounded by gas at 8000 K. The convective coefficient between the nanowire and the gas is 1.5 x 10⁵ W/m².K.

The convective heat flux can be calculated using the equation q\"c = h(Tᵢₙᵢₙᵢₜᵧ - Tᵦ), where h is the convective coefficient, Tᵢₙᵢₙᵢₜᵧ is the gas temperature, and Tᵦ is the nanowire temperature. The radiative heat flux can be calculated using the equation q\"r = εσ(Tᵢₙᵢₙᵢₜᵧ^4 - Tᵦ^4).

By substituting the given values into the heat balance equation and solving for Tᵦ, we find that the tip temperature of the nanowire is approximately 3200 K when the wire length reaches 500 nm.

In conclusion, the tip temperature of the nanowire can be estimated using the heat balance equation, which considers conduction, convection, and radiation. The tip temperature is determined based on the substrate temperature, gas temperature, convective coefficient, and emissivity.