ou are tasked to design a cooling system for an ice rink. A standard ice rink has surface area of Arink = 1580 m2 . In this design, a technologically advanced solid state thermoelectric generating cooling plate is placed in between concrete slabs. The following diagram contains the dimensional parameters of the design (a) In the space below, with your best effort to correspond to the above diagram, draw a thermal circuit that establishes the relationship between the cooling plate’s heat rate, Q, and the system’s temperatures and thermal resistances. Label the appropriate dimensions, thermal conductivities, convection coefficient, and temperatures. Ignore effects from contact resistance. (b) Given that the temperature at the top surface of the ice must be T ice = -5°C, obtain the required heat rate Q that must be drawn by the cooling plate in units Kilowatts. Be careful of +/- sign. Answer: ____________________________ [kW] c) Using the thermal circuit you established in Part (a), obtain the temperature at the bottom of the upper concrete slab, T
You are tasked to design a cooling system for an ice rink. A standard ice rink has surface area of
Arink = 1580 m2 . In this design, a technologically advanced solid state thermoelectric generating
cooling plate is placed in between concrete slabs. The following diagram contains the dimensional
parameters of the design
(a) In the space below, with your best effort to correspond to the above diagram, draw a thermal
circuit that establishes the relationship between the cooling plate’s heat rate, Q, and the system’s
temperatures and thermal resistances. Label the appropriate dimensions, thermal conductivities,
convection coefficient, and temperatures. Ignore effects from contact resistance.
(b) Given that the temperature at the top surface of the ice must be T ice = -5°C, obtain the required
heat rate Q that must be drawn by the cooling plate in units Kilowatts. Be careful of +/- sign.
Answer: ____________________________ [kW]
c) Using the thermal circuit you established in Part (a), obtain the temperature at the bottom of
the upper concrete slab, T slab,1 .
Answer: ____________________________ [°C]
of the lower concrete slab, T slab,2 . Hint: The interface of the lower concrete slab is insulated,
meaning no heat will pass.
Answer: ____________________________ [°C]
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