Difficulty: Easy
Correct Answer: Slower and non-oscillatory
Explanation:
Introduction / Context:Thermocouples are common in process plants for temperature indication and control. To protect the sensor from corrosion, erosion, or high velocity streams, the bare junction is often inserted in a metallic thermowell (protective sheath). This modification affects dynamics. Understanding that change helps tune controllers and pick the right measurement lag model.
Given Data / Assumptions:
Concept / Approach:Adding a sheath increases the thermal mass between the fluid and the hot junction and adds a conductive path through metal plus a convective film. The equivalent first-order time constant τ increases (more capacitance and resistance), so the measured signal reacts more slowly. At the same time, extra damping reduces susceptibility to noise-driven wiggles; the response remains non-oscillatory for standard sensor/thermowell designs.
Step-by-Step Solution:
Model the sensor as first-order lag: G(s) = 1 / (1 + τs).Add thermowell → higher thermal resistance/capacitance → larger τ.Larger τ means slower rise time; well-damped behavior remains non-oscillatory.Verification / Alternative check:Step tests in plants consistently show bare junctions respond faster than sheathed ones; datasheets list greater time constants for thermowell assemblies.
Why Other Options Are Wrong:
Common Pitfalls:Blaming oscillations on the sensor when the root cause is aggressive controller tuning; the thermowell usually smooths noise rather than causing oscillation.
Final Answer:Slower and non-oscillatory
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