Question

A shell-and-tube heat exchanger has one pass on the shell side and two passes on the tube side (i.e.al-2shell and tube heat exchanger). It is being used for oil cooling. The oil flows in the tube side. It enters at 1120C and leaves at 78 0C The shell-and-tube fluid is water at a flow rate of1.35 kg/s, entering at 360C and leaving at 78 0C. The heat capacity of water is 4180j/(kg. K), and the overall heat transfer coefficient for the heat exchanger is 350 W/(m2.K). The geometry factor, F is 1.15. Determine the heat transfer area required for the unit.

Answer 1

$T_{1(oil)} = 112°C\\ T_{2(oil)}= 78°C\\ ∆T_{(oil)} = 112°C- 78°C = 34°C\\ M_w= 1.35\textsf{ kg/s}\\ T_{1(water)}= 36°C\\ T_{2(water)}= 78°C\\ ∆T_{(water)} = 78°C - 36°C = 42°C\\ c = 350 \textsf{ W/(m².K)}\\ \quad\\ P= Mc∆T\\ P = 1.35 × 4180 ×42 = 237006W \approx 237 \textsf{ kW}$