Question

Steam at 100 °C condenses on the surface of a 5 cm-diameter and 15 cm-long tube by cooling water that enters the tube at 20 °C and leaves at 30 °C at 0.004 kg/s determine the rate of heat transfer in watts from the steam to the cooling water. assume that the thermal conductivity and specific heat of water are 0.61 w/m·k and 4.187 kj/kg·k, respectively.

Determine the heat transfer coefficient in W/m².K for cooling water inside the tube Determine the Nusselt number for cooling water inside the tube

Answer 1

The rate of heat transfer from the steam to the cooling water is 167.48 W.

Step-by-step explanation:

To determine the rate of heat transfer from the steam to the cooling water, we need to use the formula:

Q = m * c * (T2 - T1)

where Q is the rate of heat transfer in watts, m is the mass flow rate of the cooling water, c is the specific heat of water, T2 is the temperature at which the cooling water leaves the tube, and T1 is the temperature at which the cooling water enters the tube.

Substituting the given values:

Q = 0.004 kg/s * 4.187 kJ/kg·K * (30 °C - 20 °C)

= 0.16748 kW

= 167.48 W

The rate of heat transfer from the steam to the cooling water is 167.48 W.