The formula to calculate the temperature (T) is:
\[ T = \frac{q \cdot L}{k \cdot A} \]
Where:
Let's say the heat flux (\( q \)) is 500 W/m², the thickness (\( L \)) is 0.05 m, the thermal conductivity (\( k \)) is 200 W/m·K, and the area (\( A \)) is 2 m². Using the formula:
\[ T = \frac{500 \times 0.05}{200 \times 2} \]
We get:
\[ T = \frac{25}{400} = 0.0625 \]
So, the temperature (\( T \)) is 0.0625 K.
Heat flux, also known as thermal flux, is the rate of heat energy transfer through a given surface per unit time. It is a vector quantity, meaning it has both magnitude and direction. Heat flux is typically measured in watts per square meter (W/m²). It is an important concept in thermodynamics and heat transfer, as it helps in understanding how heat energy moves through materials and systems. The direction of heat flux is always from a region of higher temperature to a region of lower temperature.
Definition: Calculates the heat flux based on temperature difference and thermal conductivity.
Formula: \( q = -k \frac{dT}{dx} \)
Example: \( q = -0.5 \frac{100}{0.02} \)
Definition: Determines the rate of heat transfer per unit area.
Formula: \( q = \frac{Q}{A} \)
Example: \( q = \frac{500}{10} \)
Definition: Calculates heat flux in the context of heat transfer.
Formula: \( q = h \Delta T \)
Example: \( q = 10 \times 20 \)
Definition: Measures the rate of heat transfer per unit area.
Formula: \( q = \frac{dQ}{dt \cdot A} \)
Example: \( q = \frac{1000}{5 \cdot 2} \)
