Internal diamater of stack, Di = 1.756 m , ri = 0.878 m
Outer diamater of stack, Do = 1.761 m , ro = 0.8805 m
Stack height H is assumed to be 50 m
Thermal conductivity of stack material, K= 43 W/mK (carbon steel)
Outside air temp., T2 = 25oC
Enthalpy of air at atm temp and pressure, h2= 298.59775 kJ/kgK
Enthalpy of flue gas entering chimney, h1 = 314.414996 kJ/kg
Temperature of flue gas entering chimney, T1 = 271.7 oC
What is the heat loss by conduction and convection?
What is the temperature of flue gas going out of the chimney?
The book above is excellent. I've added a link below to another excellent book. The unusual thing about this book is that it's divided into two parts: theory & examples. The examples are detailed and very helpful. You may be able to get it cheap online or through inter library loan at a university.
http://www.abebooks.com/Heat-Transfer-Holland-Moores-Watson-Wilkinson/604613750/bd
How to decide optimum stack temperature to utilize flue gas energy going to stack.
I suspect you are asking the wrong question. You won't get to decide what the stack temperature is in a flue gas heat utilization system. You must work with what you get. A better question would be, "How to best utilize (extract waste heat) from the hot flue gas currently discarded by an existing process?"
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