As the distance from the leading edge increases, the fluid has more time to develop thermal boundary layers. This results in an increase in the thickness of the thermal boundary layer.
- Increases is correct because, as the distance increases, the thermal boundary layer grows thicker.
- Remains constant is incorrect because the boundary layer continues to grow as the fluid flows downstream.
- Decreases is incorrect because the boundary layer does not shrink as it moves downstream in steady flow.
- Becomes zero is incorrect because the boundary layer thickness does not approach zero at any point along the surface in typical conditions.
Therefore, the correct answer is (1), Increases.