PLEASE FOLLOW THE FOLLOWING POINTS:

1) clear writing

2) use the given equation (overall heat transfer equation)

3) don't solve it with trial & error method

***please solve only if you will follow the above points***

Q1) Saturated steam is flowing ia a steel pipe with an outside diameter 0.273m. The temperature of the steam is 500K (heat of vaporization 1825kJ/kg ) and the steam value is $0.004/kg. It is desired to insulate the pipe with a material that has a thermal conductivity of 0.01W/m. K. The cost of the installed insulation per meter of pipe length is 200 times the thickness of the insulation in meters (t). Annual fixed charges including maintenance amount to 20% of the initial installed cost. The total length of the pipe is 500m and the average surrounding temperature is 300K. The aif-film coefficient at the outside of the insulation may be taken as 15W/m2K for all the insulation thickness. Heat resistances due to steam film, scale and pipe wall are negligible. The overall heat transfer coefficient becomes UAe=2kins(D0+2Ie)ln(DeDe+2Ie)+h01L(De+2Ie) a) Estimate the annual fixed cost $/y year b) wai ant the missing data in the table c) Estimate the optimum insulation thickness, m, that minimizes the toual annualized cost and the corresponding total annualized cost \$/year (40