6.64 Consider application of the naphthalene sublimation technique (Problem 6.63) to a gas turbine blade that is coated with naphthalene and has a surface area of A, = 0.05 m². Airflow V.T_ -Turbine blade with naphthalene coating ATP (T) To determine the average convection heat transfer coef- ficient for a representative operating condition, an experiment is performed in which the coated blade is exposed for 30 min to atmospheric air at the desired velocity and a temperature of T = 27°C. During the experiment the surface temperature is T. = 27°C, and at its conclusion the mass of the blade is reduced by Am = 8 g. What is the average convection heat transfer coefficient associated with the operating condition?

Elements Of Electromagnetics
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**Convection Heat Transfer in Gas Turbine Blades**

**Problem Context:**
This example illustrates the application of the naphthalene sublimation technique to determine the convection heat transfer coefficient of a gas turbine blade. The blade is coated with naphthalene and has a surface area of \( A_s = 0.05 \, \text{m}^2 \).

**Diagram Explanation:**
The diagram shows a side view of a turbine blade that is coated with naphthalene. Airflow moves across the blade with a velocity \( V \) and temperature \( T_\infty \). The blade's surface is in contact with the air, impacting its thermal exchange properties.

**Objective:**
To find the average convection heat transfer coefficient for an operational scenario. 

**Experimental Setup:**
1. A gas turbine blade coated with naphthalene is exposed to air at a specified velocity and temperature.
2. The ambient temperature, \( T_\infty \), is maintained at \( 27^\circ \text{C} \).
3. The exposure lasts 30 minutes at atmospheric pressure.
4. The surface temperature of the blade, \( T_s \), is kept constant at \( 27^\circ \text{C} \) during the experiment.
5. By the end of the test, the blade's mass decreases by \( \Delta m = 8 \, \text{g} \).

**Task:**
Determine the average convection heat transfer coefficient, considering the specified conditions.
Transcribed Image Text:**Convection Heat Transfer in Gas Turbine Blades** **Problem Context:** This example illustrates the application of the naphthalene sublimation technique to determine the convection heat transfer coefficient of a gas turbine blade. The blade is coated with naphthalene and has a surface area of \( A_s = 0.05 \, \text{m}^2 \). **Diagram Explanation:** The diagram shows a side view of a turbine blade that is coated with naphthalene. Airflow moves across the blade with a velocity \( V \) and temperature \( T_\infty \). The blade's surface is in contact with the air, impacting its thermal exchange properties. **Objective:** To find the average convection heat transfer coefficient for an operational scenario. **Experimental Setup:** 1. A gas turbine blade coated with naphthalene is exposed to air at a specified velocity and temperature. 2. The ambient temperature, \( T_\infty \), is maintained at \( 27^\circ \text{C} \). 3. The exposure lasts 30 minutes at atmospheric pressure. 4. The surface temperature of the blade, \( T_s \), is kept constant at \( 27^\circ \text{C} \) during the experiment. 5. By the end of the test, the blade's mass decreases by \( \Delta m = 8 \, \text{g} \). **Task:** Determine the average convection heat transfer coefficient, considering the specified conditions.
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