# Couette Flow profiles

1. Dec 14, 2013

### 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.

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