Mean Temperature Of Plate Below Calculator

Mean Temperature Of Plate Below Formula:

\[ T_{bm} = \frac{(h_r \times T_{pm} + h_{fb} \times T_f)}{(h_r + h_{fb})} \]

Equivalent Radiative Heat Transfer Coefficient (h_r):

W/m²·K

Average Temperature of Absorber Plate (T_pm):

Convective Heat Transfer Coeff of Solar Bottom (h_fb):

W/m²·K

Average of Inlet and Outlet Temperature of Fluid (T_f):

Mean Temperature of Plate Below (T_bm):

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1. What is Mean Temperature of Plate Below?

Mean temperature of plate below is the mean temperature of the plate below the absorber plate in solar thermal systems. It represents the average temperature distribution across the surface area of the bottom plate.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ T_{bm} = \frac{(h_r \times T_{pm} + h_{fb} \times T_f)}{(h_r + h_{fb})} \]

Where:

\( T_{bm} \) — Mean temperature of plate below (K)
\( h_r \) — Equivalent radiative heat transfer coefficient (W/m²·K)
\( T_{pm} \) — Average temperature of absorber plate (K)
\( h_{fb} \) — Convective heat transfer coefficient of solar bottom (W/m²·K)
\( T_f \) — Average of inlet and outlet temperature of fluid (K)

Explanation: This formula calculates the weighted average temperature based on heat transfer coefficients and temperatures of adjacent components.

3. Importance of T_bm Calculation

Details: Accurate calculation of mean plate temperature below is crucial for thermal analysis of solar collectors, heat loss calculations, and optimizing the efficiency of solar thermal systems.

4. Using the Calculator

Tips: Enter all values in appropriate units (W/m²·K for coefficients and K for temperatures). Ensure all values are positive and heat transfer coefficients are greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of equivalent radiative heat transfer coefficient?
A: It represents the overall heat transfer coefficient that accounts for how well heat is conducted through a series of resistant mediums in radiative heat transfer.

Q2: Why is convective heat transfer coefficient important?
A: It quantifies the heat transfer between the bottom plate and the air stream, which is crucial for understanding convective heat losses.

Q3: What factors affect the mean temperature of plate below?
A: Solar radiation intensity, ambient temperature, fluid flow rate, material properties, and insulation quality all influence the plate temperature.

Q4: How accurate is this calculation method?
A: This provides a good estimation for steady-state conditions, but actual temperatures may vary due to transient effects and non-uniform heating.

Q5: Can this calculator be used for other thermal systems?
A: While specifically designed for solar thermal applications, the principle can be applied to other systems with similar heat transfer configurations.