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I have several thoughts on that. 1. If you extract surface inside face conduction , the surface outside face conduction and the surface heat storage energy, these three variables, it meets the heat balance. Because regard the wall as the system, the input and output are just surface inside face conduction and the surface outside face conduction. The net energy would be stored by wall itself because of thermal mass which can change the its own temperature. 2. surface average face conduction does not have any physical meaning. Just sum them up and divided by 2. If you think that you just use q''=k(To-Ti) to calculate which is right only under static situation. Now we know the temperature of wall itself will also change, it is a dynamic problem. 3. Moreover, surface inside face conduction , the surface outside face conduction, these two variables should also agree to the surface film energy balance which is associated about inside face convection, solar radiation, lights radiation, system radiation, other surface radiation. 4. It is dynamic problem. Think everything dynamically. The heat balance is the root.

I have several thoughts on that. 1. that.

1. If you extract surface inside face conduction , the surface outside face conduction and the surface heat storage energy, these three variables, it meets the heat balance. Because regard the wall as the system, the input and output are just surface inside face conduction and the surface outside face conduction. The net energy would be stored by wall itself because of thermal mass which can change the its own temperature. 2.
2. surface average face conduction does not have any physical meaning. Just sum them up and divided by 2. If you think that you just use q''=k(To-Ti) to calculate which is right only under static situation. Now we know the temperature of wall itself will also change, it is a dynamic problem. 3. problem.
3. Moreover, surface inside face conduction , the surface outside face conduction, these two variables should also agree to the surface film energy balance which is associated about inside face convection, solar radiation, lights radiation, system radiation, other surface radiation. 4.
4. It is dynamic problem. Think everything dynamically. The heat balance is the root.

I have several thoughts on that.

1. If you extract surface inside face conduction , the surface outside face conduction and the surface heat storage energy, these three variables, it meets the heat balance. Because regard the wall as the system, the input and output are just surface inside face conduction and the surface outside face conduction. The net energy would be stored by wall itself because of thermal mass which can change the its own temperature.
2. surface average face conduction does not have any physical meaning. Just sum them up and divided by 2. If you think that you just use q''=k(To-Ti) to calculate which is right only under static situation. Now we know the temperature of wall itself will also change, it is a dynamic problem.
3. Moreover, surface inside face conduction , the surface outside face conduction, these two variables should also agree to the surface film energy balance which is associated about inside face convection, solar radiation, lights radiation, system radiation, other surface radiation.
4. It is dynamic problem. Think everything dynamically. The heat balance is the root.

I have several thoughts on that.

1. If you extract surface inside face conduction , the surface outside face conduction and the surface heat storage energy, these three variables, it meets the heat balance. Because regard the wall as the system, the input and output are just surface inside face conduction and the surface outside face conduction. The net energy would be stored by wall itself because of thermal mass which can change the its own temperature.
2. surface average face conduction does not have any physical meaning. Just sum them up and divided by 2. If you think that you just use q''=k(To-Ti) to calculate which is right only under static situation. Now we know the temperature of wall itself will also change, it is a dynamic problem.
3. Moreover, surface inside face conduction , the surface outside face conduction, these two variables should also agree to the surface film energy balance which is associated about inside face convection, solar radiation, lights radiation, system radiation, other surface radiation.
4. It is dynamic problem. Think everything dynamically. The heat balance is the root.

I have several thoughts on that.

1. If you extract surface inside face conduction , the surface outside face conduction and the surface heat storage energy, these three variables, it meets the heat balance. Because regard the wall as the system, the input and output are just surface inside face conduction and the surface outside face conduction. The net energy would be stored by wall itself because of thermal mass which can change the its own temperature.
2. surface average face conduction does not have any physical meaning. Just sum them up and divided by 2. If you think that you just use q''=k(To-Ti) to calculate which is right only under static situation. Now we know the temperature of wall itself will also change, it is a dynamic problem.
3. Moreover, surface inside face conduction , the surface outside face conduction, these two variables should also agree to the surface film energy balance which is associated about inside face convection, solar radiation, lights radiation, system radiation, other surface radiation.
4. It is dynamic problem. Think everything dynamically. The heat balance is the root.