Understanding Couette Flow Profiles: Adiabatic and Iso-Thermal Plates

[Redoctober]

The scenario is as follows.

Plate (1) is adiabatic
Plate (2) is iso-thermal
Plate (3) has no info.
Fluid is driven between the plates (1)/(3) by the motion of (1)

In such case can i say the following ? :

-The environment above plate (1) is separate thermally from the fluid flow due to the presence of an adiabatic plate.
-Since the plate is adiabatic, the driving force dT/dy is zero at that location.
-The plate (2) is iso-thermal, therefore we can conlude that with an infinitely long plate the temperature at plate (3) is uniform.

Due to these points, we conclude the following,

$$\frac{\partial T}{\partial y}_{~plate ~ (1)} = 0$$
$$\frac{\partial T}{\partial x} = 0$$
$$\frac{\partial T}{\partial x} = 0$$
$$T(plate(3)) = T_{plate(3)}$$

Steady working conditions is assumed.

 

[LightHero]

Yes, you can say the statements that you have provided. The environment above plate (1) is separate thermally from the fluid flow due to the presence of an adiabatic plate, and since the plate is adiabatic, the driving force dT/dy is zero at that location. Furthermore, the plate (2) is iso-thermal, so with an infinitely long plate the temperature at plate (3) would be uniform. Therefore, you can conclude that $\frac{\partial T}{\partial y}_{~plate ~ (1)} = 0$, $\frac{\partial T}{\partial x} = 0$, $\frac{\partial T}{\partial x} = 0$ and $T(plate(3)) = T_{plate(3)}$. It is also assumed that steady working conditions are present.