Material Derivative

DT/Dt = ∂T/∂t + u·∂T/∂x   |   Lagrangian = Local (Eulerian) + Convective
Live breakdown
  DT/Dt = ∂T/∂t 0.000 + u  (m/s) 1.00 × ∂T/∂x  (°C/m) 0.7000 =   0.700 °C/s
1.0 m/s →