Question

A house with 200-m2 floor space is heated with geothermal water flowing through pipes laid in the ground under the floor. The walls of the house are 4 m high, and there are 8 single-paned windows in the house that are 1.2 m wide and 1.8 m high. The house has R-4 insulation (where R= 1/U is the overall unit thermal resistance(the R-value) and U is the overall heat transfer coefficient) in the walls and R-5 on the ceiling. The floor temperature is not to exceed 40◦C.Hot geothermal water is available at 90◦C, and the inner and outer diameter of the pipes to be used are 2.4 cm and 3.0 cm.

Determine;

forced convection through pipes;
convection and radiation heat transfer from the floor surface;
heat loss through the windows;
energy consumption of a pump that needs to move the water through the pipes.

Answer 1