A computer code is being developed to analyze a temperature sensor of 12.5-mm diameter experiencing cross flow of water with a free stream temperature of 80°C and variable velocity. Derive an expression for the convection heat transfer coefficient as a function of the sensor surface temperature T_s, for the range 20 < T_s < 80°C and for velocities V in the range 0.005 < V < 0.20 m/s. Use the Zukauskas correlation for the range 40 < Re_D < 1000 and assume that the Prandtl number of water has a linear temperature dependence.