List of top Fluid Mechanics and Thermal Sciences Questions on Calculation of work and heat in various processes asked in GATE ME

Consider a slab of 20mm thickness. There is a uniform heat generation of \(\dot{q}\) = 100MW/m³ inside the slab. The left and right faces of the slab are maintained at 150°C and 110°C, respectively. The plate has a constant thermal conductivity of 200W/(m.K). Considering a 1-D steady state heat conduction, the location of the maximum temperature from the left face will be at (answer in integer).

A condenser is used as a heat exchanger in a large steam power plant in which steam is condensed to liquid water. The condenser is a shell and tube heat exchanger which consists of 1 shell and 20,000 tubes. Water flows through each of the tubes at a rate of 1kg/s with an inlet temperature of 30°C. The steam in the condenser shell condenses at the rate of 430kg/s at a temperature of 50°C. If the heat of vaporization is 2.326MJ/kg and specific heat of water is 4kJ/(kg.K), the effectiveness of the heat exchanger is _____ (rounded off to 3 decimal places).