Question

The Sea Surface Temperature (SST), Air Temperature and 10 m Wind Speed at the locations P and Q are given in the table. Assume the density of air, specific heat capacity, and sensible heat transfer coefficient are the same at both locations. The sensible heat (SH) fluxes at P and Q are \(\mathrm{SH}_P\) and \(\mathrm{SH}_Q\). The value of \(\left(\dfrac{\mathrm{SH}_P}{\mathrm{SH}_Q}\right)\) is \(__________\). (in integer)

Hint:

When \(\rho, c_p, C_H\) are equal, SH flux ratios reduce to \(U\,(T_s-T_a)\) ratios. Remember SH is upward if \(T_s>T_a\) and downward if \(T_s<T_a\).

Answer 1

Correct Answer: 2

Step 1: Bulk formula for sensible heat flux.
\[ \mathrm{SH}=\rho\,c_p\,C_H\,U\,(T_s-T_a), \] where \(\rho, c_p, C_H\) are constants here; \(U\) is wind speed; \(T_s-T_a\) is SST–air temperature difference.

Step 2: Evaluate \((T_s-T_a)\) and ratio.
At P: \(T_s-T_a = 28-35=-7^\circ\mathrm{C}\). At Q: \(T_s-T_a = 30-32=-2^\circ\mathrm{C}\). Thus, \[ \frac{\mathrm{SH}_P}{\mathrm{SH}_Q} =\frac{U_P(T_s-T_a)_P}{U_Q(T_s-T_a)_Q} =\frac{4\times(-7)}{7\times(-2)} =\frac{-28}{-14}=2. \] (The sign cancels; the question asks for the magnitude/ratio.) Final Answer:
\[ \boxed{2} \]