water film from a contoured surface by heating it from below and forcing air across it. Laboratory measure- ments for this surface have provided the following heat transfer correlation: Nu = 0.43 Re Pr The air flowing over the surface has a temperature of 290 K, a velocity of 10 m/s, and is completely dry (d = 0). The surface has a length of 1 m and a surface area of 1 m². Just enough energy is supplied to maintain its steady-state temperature at 310 K. (a) Determine the heat transfer coefficient and the rate at which the surface loses heat by convection. (b) Determine the mass transfer coefficient and the evaporation rate (kg/h) of the water on the surface. (c) Determine the rate at which heat must be supplied to the surface for these conditions.
water film from a contoured surface by heating it from below and forcing air across it. Laboratory measure- ments for this surface have provided the following heat transfer correlation: Nu = 0.43 Re Pr The air flowing over the surface has a temperature of 290 K, a velocity of 10 m/s, and is completely dry (d = 0). The surface has a length of 1 m and a surface area of 1 m². Just enough energy is supplied to maintain its steady-state temperature at 310 K. (a) Determine the heat transfer coefficient and the rate at which the surface loses heat by convection. (b) Determine the mass transfer coefficient and the evaporation rate (kg/h) of the water on the surface. (c) Determine the rate at which heat must be supplied to the surface for these conditions.
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![**Problem 6.81: Industrial Evaporation Process**
An industrial process involves the evaporation of a thin water film from a contoured surface by heating it from below and forcing air across it. Laboratory measurements for this surface have provided the following heat transfer correlation:
\[ \overline{Nu}_L = 0.43 \, Re_L^{0.58} \, Pr^{0.4} \]
**Given Information:**
- Air temperature over the surface: 290 K
- Air velocity: 10 m/s
- Air is completely dry (\(\phi_\infty = 0\))
- Surface length: 1 m
- Surface area: 1 m²
- Surface steady-state temperature: 310 K
**Tasks:**
(a) **Determine the heat transfer coefficient and the rate at which the surface loses heat by convection.**
(b) **Determine the mass transfer coefficient and the evaporation rate (kg/h) of water on the surface.**
(c) **Determine the rate at which heat must be supplied to the surface for these conditions.**
**Explanation:**
This problem involves analyzing heat and mass transfer for an evaporating water film. The correlation given helps determine the Nusselt number, which relates to the heat transfer coefficient. Calculating these parameters will allow you to understand how the process maintains the temperature and how effective the heat transfer is under the given conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70b690d1-508b-4b50-9da7-4e1ded8d3d77%2Fa08f1357-4356-4301-a0ee-5a9c468ef9bf%2Fz9g3ua_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 6.81: Industrial Evaporation Process**
An industrial process involves the evaporation of a thin water film from a contoured surface by heating it from below and forcing air across it. Laboratory measurements for this surface have provided the following heat transfer correlation:
\[ \overline{Nu}_L = 0.43 \, Re_L^{0.58} \, Pr^{0.4} \]
**Given Information:**
- Air temperature over the surface: 290 K
- Air velocity: 10 m/s
- Air is completely dry (\(\phi_\infty = 0\))
- Surface length: 1 m
- Surface area: 1 m²
- Surface steady-state temperature: 310 K
**Tasks:**
(a) **Determine the heat transfer coefficient and the rate at which the surface loses heat by convection.**
(b) **Determine the mass transfer coefficient and the evaporation rate (kg/h) of water on the surface.**
(c) **Determine the rate at which heat must be supplied to the surface for these conditions.**
**Explanation:**
This problem involves analyzing heat and mass transfer for an evaporating water film. The correlation given helps determine the Nusselt number, which relates to the heat transfer coefficient. Calculating these parameters will allow you to understand how the process maintains the temperature and how effective the heat transfer is under the given conditions.
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