A thermocouple at equilibrium with ambient air at 10C is plunged into a warm water bath...

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A thermocouple at equilibrium with ambient air at 10C is plunged into a warm water bath at time equal to zero. The warm water acts as an infinite heat source at 20C since its mass is many times that of the thermocouple. Calculate the temperature response of the thermocouple after 1 min. The governing differential equation is Newton's law of heating or cooling expressed as Cp dT/dt = UA(Twater - T) Time constant of the thermocouple UA/Cp = 0.4 min. Use simple Euler method and start with an h value of 1.Then, halve the h value for a next estimate of the temperature at 1 min. Continue halving h and estimating new values until you obtain a relative error less than 2% between two temperatures estimated at 1 min by using different h values. A thermocouple at equilibrium with ambient air at 10C is plunged into a warm water bath at time equal to zero. The warm water acts as an infinite heat source at 20C since its mass is many times that of the thermocouple. Calculate the temperature response of the thermocouple after 1 min. The governing differential equation is Newton's law of heating or cooling expressed as Cp dT/dt = UA(Twater - T) Time constant of the thermocouple UA/Cp = 0.4 min. Use simple Euler method and start with an h value of 1.Then, halve the h value for a next estimate of the temperature at 1 min. Continue halving h and estimating new values until you obtain a relative error less than 2% between two temperatures estimated at 1 min by using different h values.