Q5 A simplified representation of the temperature dynamics of two adjacent masses is shown in Figure Q5. The mass with c

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Q5 A Simplified Representation Of The Temperature Dynamics Of Two Adjacent Masses Is Shown In Figure Q5 The Mass With C 1 (175.1 KiB) Viewed 23 times

Q5 A simplified representation of the temperature dynamics of two adjacent masses is shown in Figure Q5. The mass with capacitance C₂ is perfectly insulated on all sides except one, which has a convective resistance R₂. The thermal capacitances of the masses are C₁ and C₂, and their representative uniform temperatures are T₁ and T₂. The thermal capacitance of the surroundings is very large and temperature is To. (a) By considering from the left room area, determine the mathematical model in term of the behavior of T2. (12 marks) = 0 (b) From the results in Q5(a), determine the transfer function. Assume that T₁ (no dissipation heat from the left room). (6 marks) (c) For the whole system, analyse what happens if the thermal capacitance C₂ is very small. (2 marks) T₂ T1 R₁ To C2 Insulated R₂ Figure Q5 C1