The oven shown in Figure P7.54 has a heating element with

Chapter , Problem 7.54

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The oven shown in Figure P7.54 has a heating element with appreciable capacitance \(C_{1}\). The other capacitance is that of the oven air \(C_{2}\). The corresponding temperatures are \(T_{1}\) and \(T_{2}\), and the outside temperature is \(T_{o}\). The thermal resistance of the heater-air interface is \(R_{1}\); that of the oven wall is \(R_{2}\). Develop a model for \(T_{1}\) and \(T_{2}\), with input \(q_{i}\), the heat flow rate delivered to the heater mass.

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