Question

The sensible heat (SH) flux at the locations P and Q are SH\(_P\) and SH\(_Q\), respectively. The value of \( \frac{SH_P}{SH_Q} \) is .......... (in integer).

Hint:

When comparing sensible heat flux between two locations, the ratio of wind speeds and the difference in air and sea temperatures determines the heat flux.

Answer 1

Sensible heat flux \( Q \) is given by the formula: \[ Q = \rho C_p V (T_{{air}} - T_{{sea}}) \] Where:
- \( \rho \) is the air density,
- \( C_p \) is the specific heat capacity of air,
- \( V \) is the wind speed,
- \( T_{{air}} \) is the air temperature,
- \( T_{{sea}} \) is the sea surface temperature.
Since we are given that the air density, specific heat, and sensible heat transfer constants are the same at both locations, we can simplify the calculation by comparing the wind speeds and temperature differences.
The sensible heat flux ratio is: \[ \frac{SH_P}{SH_Q} = \frac{V_P \cdot (T_{{air},P} - T_{{sea},P})}{V_Q \cdot (T_{{air},Q} - T_{{sea},Q})} \] Substituting the given values: \[ \frac{SH_P}{SH_Q} = \frac{4 \cdot (35 - 28)}{7 \cdot (32 - 30)} \] \[ \frac{SH_P}{SH_Q} = \frac{4 \cdot 7}{7 \cdot 2} = 2 \] Thus, the value of \( \frac{SH_P}{SH_Q} \) is 2.