A horizontal AIS1 316 stainless steel tube with outer diameter of 2 cm and 1 mm wall-thickness is exposed to saturated mercury vapors at a pressure of 0.010 MPa which undergo condensation. Pressurized water flows inside the tube reaching at a certain location a bulk temperature of 490 K and a convective heat transfer coefficient of 12000 W/m²K. Assuming laminar flow of the condensate, find:

a) The condensation heat transfer coefficient at that location.

b) The overall heat transfer coefficient at that location.

c) The rate of condensation per unit length of the tube at that location. Check if the laminar flow hypothesis is correct or not. \r\n

Assume the following properties

• Saturated mercury at 0.010 MPa: T_sat = 522.8 K, h_fg = 0.2945 10⁶ J/kg

• Liquid mercury at T = 520 K; K₁ = 11.2 W/mK, ρ₁ = 12990 kg/m³, v₁ = 0.073 10^-6 m²/s