# GATE2017-12

The one-dimensional unsteady heat conduction equation is

$$\rho C_{p}\frac{\partial T}{\partial t}=\frac{1}{r^{n}}\frac{\partial }{\partial r}\left ( r^{n}k\frac{\partial T}{\partial r} \right )$$

where $T$ – temperature, $t$ – time, $r$ – radial position, $k$ – thermal conductivity, $\rho$ – density, and $c_{p}$ – specific heat.

For the cylindrical coordinate system, the value of $n$ in the above equation is

1. $0$
2. $1$
3. $2$
4. $3$
in Others
edited