Mr. Professor A. Sirkegiannis charges his cell phone using a wireless charging pad which is a bit larger than his phone in size. During charging, no plastic cover is used because it cuts the electrical coupling between the phone and charger, so you can assume that the phone is not thermally insulated. The thickness of the phone is H (or you can take it as 2H if it is helpful in your solution) and assume that there is constant and uniform heat generation inside the phone due to its large Li-poly battery. The pad operates at a power that maintains a constant pad surface temperature of Ts. The room temperature, Tr, is kept constant during charging. a. Using shell balance write the heat transfer model equation for the phone ( 10 pts) b. Find temperature profile in the phone during charging (15 pts) c. Find the temperature profile in the phone when the professor found a way to keep the top surface of his phone at a constant temperature of TAh and the bottom urface at Ts. (15 pts) Mr. Professor A. Sirkegiannis charges his cell phone using a wireless charging pad which is a bit larger than his phone in size. During charging, no plastic cover is used because it cuts the electrical coupling between the phone and charger, so you can assume that the phone is not thermally insulated. The thickness of the phone is H (or you can take it as 2H if it is helpful in your solution) and assume that there is constant and uniform heat generation inside the phone due to its large Li-poly battery. The pad operates at a power that maintains a constant pad surface temperature of Ts. The room temperature, Tr, is kept constant during charging. a. Using shell balance write the heat transfer model equation for the phone ( 10 pts) b. Find temperature profile in the phone during charging (15 pts) c. Find the temperature profile in the phone when the professor found a way to keep the top surface of his phone at a constant temperature of TAh and the bottom urface at Ts. (15 pts)