Water flows at a velocity of 10 m/s parallel to a two-dimensional smooth and flat surface. The water temperature away from the surface is 20°C. The flat surface is heated, resulting in a heat flux of...

Water flows at a velocity of 10 m/s parallel to a two-dimensional smooth and flat surface. The water temperature away from the surface is 20°C. The flat surface is heated, resulting in a heat flux of 2.5 × 10⁵
W/m²
. At a distance of 1.0 m downstream from the leading edge:

a. Calculate the skin friction coefficient C_f.

 b. Calculate the wall temperature based on an appropriate analogy between heat and momentum transfer.

c. Using the turbulent temperature law-of-the-wall, calculate the water temperature 0.5 mm above the wall surface.