Assuming we have steady state condition and one-dimensional heat transfer in the system, determine the following:

The heat loss from the pipe with and without insulation (of various thickness) and assess the effectiveness of increasing insulation thickness (plot the total rate of heat loss, as combination of convection and radiation, vs. thickness)

Is there a significant advantage in using larger thickness of insulation? Is there a limit in increasing the thickness of the insulating material? Discuss your responses.

please show steps and explanation.

(I have posted other questions regarding the same lab, you may want to refer to the answers of those questions)

The effect of insulator thickness on the heat transfer rate from a pipe is investigated. High pressure steam is passing through a 3 -inch schedule 40 pipe, which is covered with insulating layers of different thickness. Apparatus: - Steam in the tube; 3-inch schedule 40 pipe (inner dimeter: 0.077927 m; and, outer diameter: 0.088900m ) - Thermocouples connected to different points of the setup - Insulating material has emissivity of 0.9; pipe has emissivity of 0.8 - Thermal conductivity of insulating material is 0.102W/m.K Experimental procedure: Turn on the temperature reading panel to collect temperature values of different points of the setup| (Figure 1) at evenly distributed time intervals until getting steady values (steady state condition). - Heat Loss trom an Insulated Pipe Figure 1. Schematic of the insulated pipe and temperature reading points Table 1. Temperature readings after reaching steady state The effect of insulator thickness on the heat transfer rate from a pipe is investigated. High pressure steam is passing through a 3 -inch schedule 40 pipe, which is covered with insulating layers of different thickness. Apparatus: - Steam in the tube; 3-inch schedule 40 pipe (inner dimeter: 0.077927 m; and, outer diameter: 0.088900m ) - Thermocouples connected to different points of the setup - Insulating material has emissivity of 0.9; pipe has emissivity of 0.8 - Thermal conductivity of insulating material is 0.102W/m.K Experimental procedure: Turn on the temperature reading panel to collect temperature values of different points of the setup| (Figure 1) at evenly distributed time intervals until getting steady values (steady state condition). - Heat Loss trom an Insulated Pipe Figure 1. Schematic of the insulated pipe and temperature reading points Table 1. Temperature readings after reaching steady state