Consider fully developed turbulent flow of atmospheric water at a mean temperature of 25°C in a smooth tube with a diameter of 3.5 cm. The wall temperature is 50°C. The flow Reynolds number is 2 × 10...

Consider fully developed turbulent flow of atmospheric water at a mean temperature of 25°C in a smooth tube with a diameter of 3.5 cm. The wall temperature is 50°C. The flow Reynolds number is 2 × 10⁴
.

a. Find the heat flux at the wall using an empirical correlation of your choice.

 b. Estimate the fluid time-averaged velocity and temperature at normal distances from the wall equal to 25 μm and 0.5 mm from the wall.

 c. Estimate the turbulent thermal conductivity at the locations in Part b.