Verify the performance of the existing thermocouple • Check that for a minimum velocity of 43 m/s you can reach 99% of the T∞ value at the center of the thermocouple in 18 seconds

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please verify the performance by doing the calculations

**Designing the Next Generation Thermocouple**

**Existing Thermocouple Design Data:**

- **Material:** AISI 304 Stainless Steel
- **Shape:** Spherical (2 mm diameter)
- **Heat Transfer Coefficient:** \( h = 2.2(V/D)^{0.5} \)
- **Time to Reach 0.99 ΔT:** 18 seconds
- **Minimum Flow Velocity:** 43 m/s

**Performance Verification of the Existing Thermocouple:**

- Ensure that for a minimum velocity of 43 m/s, 99% of \( T_{\infty} \) is achieved at the center of the thermocouple in 18 seconds.
Transcribed Image Text:**Designing the Next Generation Thermocouple** **Existing Thermocouple Design Data:** - **Material:** AISI 304 Stainless Steel - **Shape:** Spherical (2 mm diameter) - **Heat Transfer Coefficient:** \( h = 2.2(V/D)^{0.5} \) - **Time to Reach 0.99 ΔT:** 18 seconds - **Minimum Flow Velocity:** 43 m/s **Performance Verification of the Existing Thermocouple:** - Ensure that for a minimum velocity of 43 m/s, 99% of \( T_{\infty} \) is achieved at the center of the thermocouple in 18 seconds.
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