A two-dimensional transient temperature field can be represented as the following mathematical expression: t=f(x,y) t=f(x,y,z,t) t=f(x,t) t=f(x,y,t) t=f(x,y,z)

The correct mathematical expression for representing a two-dimensional transient temperature field is:<br /><br />$t=f(x,y,t)$<br /><br />This expression indicates that the temperature $t$ is a function of the spatial coordinates $x$ and $y$, as well as the time coordinate $t$. In a two-dimensional transient temperature field, the temperature distribution changes over time, which is why the time coordinate $t$ is included in the expression.<br /><br />The other options are not correct for the following reasons:<br /><br />1. $t=f(x,y)$: This expression represents a two-dimensional steady-state temperature field, where the temperature distribution does not change over time.<br />2. $t=f(x,y,z,t)$: This expression represents a three-dimensional transient temperature field, where the temperature distribution changes over time and varies in three spatial dimensions.<br />3. $t=f(x,y,z)$: This expression represents a three-dimensional steady-state temperature field, where the temperature distribution does not change over time and varies in three spatial dimensions.