Lecture Objectives: Energy balance and modeling HW1b
Surface Balance For each surface – external or internal : All radiation components Conduction Convection Convection + Conduction + Radiation = 0
Air balance - Convection on internal surfaces + Ventilation + Infiltration Uniform Air Temperature Assumption! What affects the air temperature? - h and corresponding Q - as many as surfaces Energy balance: Tsupply -maircp.air ΔTair= Qconvective+ Qventilation Qconvective= ΣAihi(TSi-Tair) Ts1 mi Qventilation= Σmicp,i(Tsupply-Tair) Q1 Q2 Tair h1 h2
Air balance – steady state Convection on internal surfaces + Infiltration = Load Uniform temperature Assumption h, and Qsurfaces as many as surfaces infiltration – mass transfer (mi – infiltration) Qair= Qconvective+ Qinfiltration T outdoor air Qconvective= ΣAihi(TSi-Tair) Ts1 mi Qinfiltration= Σmicp(Toutdoor_air-Tair) Q1 Q2 In order to keep constant air Temperate, HVAC system needs to remove cooling load Tair h1 h2 QHVAC= Qair= m·cp(Tsupply_air-Tair) HVAC
Homework assignment 1b Top view Teast_o Teast_i Tinter_surf Tair_in conduction Tair_in IDIR Idif Glass Tinter_surf Tsouth_i Tsouth_o Teast_i Teast_o Tair_out Styrofoam Surface radiation Surface radiation 2.5 m 10 m 10 m South East