A well-mixed water tank with an inlet flow and an outlet flow is used to collect...

  

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A well-mixed water tank with an inlet flow and an outlet flow is used to collect solar thermal energy. Both the inlet and the outlet flow rates are the same: F (kg/s). The water in the tank has a volume of V [m'], and its surface area for collecting solar heat is S [m'). Across this surface solar heat flux to the tank is at a constant rate of/ [W/m2). The imperfect insulation leads to loss of heat from the tank Qioss a(T;-T) [W], where a is a constant, T, and T are temperature ["C] in the tank and the ambient, respectively. The water density and heat capacity are assumed to be constant: p [kg/m'), and c, [kJ/kg/"C]. The inlet water temperature is T, ["c). %3D Develop a mathematical model for the purpose of predicting the change of the temperature af the water in the tank (T;) given system input F. A well-mixed water tank with an inlet flow and an outlet flow is used to collect solar thermal energy. Both the inlet and the outlet flow rates are the same: F (kg/s). The water in the tank has a volume of V [m'], and its surface area for collecting solar heat is S [m'). Across this surface solar heat flux to the tank is at a constant rate of/ [W/m2). The imperfect insulation leads to loss of heat from the tank Qioss a(T;-T) [W], where a is a constant, T, and T are temperature ["C] in the tank and the ambient, respectively. The water density and heat capacity are assumed to be constant: p [kg/m'), and c, [kJ/kg/"C]. The inlet water temperature is T, ["c). %3D Develop a mathematical model for the purpose of predicting the change of the temperature af the water in the tank (T;) given system input F.

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TWOTANK DIRECT SYSTEM Solar thermal energy in this system is stored in the same fluid used to collect it The fluid is stored in two tanksone at high temperature and the other at low temperature Fluid ... View the full answer