Step 1: AMTD stands for Arithmetic Mean Temperature Difference. It is used in heat exchanger design, particularly for recuperators, to represent the average temperature driving force for heat transfer.
Step 2: It is calculated as the simple arithmetic mean of the temperature differences at the two ends of the heat exchanger: \[ \text{AMTD} = \frac{(\Delta T_1 + \Delta T_2)}{2} \] where \( \Delta T_1 \) and \( \Delta T_2 \) are the temperature differences between the hot and cold fluids at each end.
Step 3: While the logarithmic mean temperature difference (LMTD) is often more accurate for varying temperature profiles, AMTD is a simpler approximation used in linear systems or for preliminary calculations.
Why the other options are incorrect:
Three conductors of same length having thermal conductivity \(k_1\), \(k_2\), and \(k_3\) are connected as shown in figure. Area of cross sections of 1st and 2nd conductor are same and for 3rd conductor it is double of the 1st conductor. The temperatures are given in the figure. In steady state condition, the value of θ is ________ °C. (Given: \(k_1\) = 60 Js⁻¹m⁻¹K⁻¹,\(k_2\) = 120 Js⁻¹m⁻¹K⁻¹, \(k_3\) = 135 Js⁻¹m⁻¹K⁻¹) 