Improve the following response: The provided ANSYS simulation data can be analysed to check if the conservation law of heat is satisfied. The conservation of energy, specifically the first law of thermodynamics, dictates that for a system at steady state, the heat entering the system should equal the heat exiting, with no net accumulation of energy within the system. In the data table, the relevant columns for heat entering include heat$\_$rate$\_$duct$\_$wall$\_$in$,$ heat$\_$rate$\_$heater, and mass$\_$rate$\_$in$.$ For heat exiting, we focus on heat$\_$rate$\_$duct$\_$wall$\_$out, heat$\_$rate$\_$out, and mass$\_$rate$\_$out. For each iteration, the sum of heat entering the system should approximately match the heat exiting, accounting for any small computational inaccuracies inherent in simulations. Upon reviewing the data, the values of heat entering and exiting the system vary with each iteration, reflecting the transient nature of the early simulation stages. However, as the iterations progress, the heat rates entering and exiting converge towards similar values, indicating that the system is approaching equilibrium. For example, after around $20-30$ iterations, the discrepancies between total heat input and output become minimal, showing that the system is moving toward satisfying the heat conservation law. The earlier discrepancies can be attributed to initial transients, where the system has not yet reached a steady state. As the simulation stabilizes, the balance between heat rates suggests that the simulation adheres to the conservation law of heat. Therefore, while there are deviations in the early iterations, the overall behaviour of the system as it reaches equilibrium indicates that the simulation satisfies the conservation of heat.