Transition Piece Cross Sectional Area Convergence Reduction And Selection

Abstract

Disclosed herein are apparatuses, methods, and systems for cross sectional area convergence reduction and selection. In an embodiment, an aft end cross sectional area is determined for a transition piece and a forward end cross sectional area is determined for the transition piece. The transition piece may be fabricated based on a constant slope of cross sectional area change between the aft end and the forward end.

What is claimed: 
     
         1 . A method comprising:
 determining an aft end cross sectional area for a transition piece;   determining a forward end cross sectional area for the transition piece; and   fabricating the transition piece based on a constant slope of cross sectional area change between the aft end and the forward end.   
     
     
         2 . The method of  claim 1 , wherein the transition piece is within +/−3% of the constant slope of cross sectional area along the length of the transition piece. 
     
     
         3 . The method of  claim 1 , wherein the transition piece is within an average +/−3% of the constant slope of cross sectional area along the length of the transition piece. 
     
     
         4 . The method of  claim 1 , wherein the fabricated transition piece is within +/−3% of the constant slope of cross sectional area. 
     
     
         5 . The method of  claim 1 , wherein the forward end cross sectional area is taken near the attachment point of the combustor liner and the transition piece. 
     
     
         6 . The method of  claim 1 , wherein the forward end cross sectional area is based on the aft end cross sectional area. 
     
     
         7 . The method of  claim 1 , wherein the aft end cross sectional area is taken near the aft frame. 
     
     
         8 . A transition piece comprising a cross sectional area along the length of the transition piece that stays within +/−3% of a constant slope cross sectional area, wherein the constant slope cross sectional area is based on an aft end cross sectional area measurement and a corresponding forward end cross sectional area measurement at a respective length. 
     
     
         9 . The transition piece of  claim 8 , wherein the transition piece is within +/−3% of the constant slope of cross sectional area along the length of the transition piece. 
     
     
         10 . The transition piece of  claim 8 , wherein the transition piece is within an average +/−3% of the constant slope of cross sectional area along the length of the transition piece. 
     
     
         11 . The transition piece of  claim 8 , wherein the fabricated transition piece is within +/−3% of the constant slope of cross sectional area at every one-tenth interval of the length of the transition piece. 
     
     
         12 . The transition piece of  claim 8 , wherein the forward end cross sectional area is taken near the attachment point of the combustor liner and the transition piece. 
     
     
         13 . The transition piece of  claim 8 , wherein the aft end cross sectional area is taken near the attachment point of the aft frame and a stage one nozzle. 
     
     
         14 . The transition piece of  claim 8 , wherein the aft end cross sectional area is taken near the aft frame. 
     
     
         15 . A system comprising:
 a first processor adapted to execute computer-readable instructions; and   a first memory communicatively coupled to said first processor, said first memory having stored therein computer-readable instructions that, if executed by the first processor, cause the processor to perform operations comprising:
 determining an aft end cross sectional area for a transition piece; 
 determining a forward end cross sectional area based on the aft end cross sectional area for the transition piece; 
 determining the constant slope of cross sectional area change between the aft end and the forward end; and 
 creating the transition piece based on the constant slope of cross sectional area. 
   
     
     
         16 . The system of  claim 15 , wherein the transition piece is within +/−3% of the constant slope of cross sectional area along the length of the transition piece. 
     
     
         17 . The system of  claim 15 , wherein the transition piece is within an average +/−3% of the constant slope of cross sectional area along the length of the transition piece. 
     
     
         18 . The system of  claim 15 , wherein the forward end cross sectional area is taken near the attachment point of the combustor liner and the transition piece. 
     
     
         19 . The system of  claim 15 , wherein the aft end cross sectional area is taken near the aft frame. 
     
     
         20 . The system of  claim 15 , wherein computer-readable instructions include taking a cross sectional area measurement of the transition piece at every one-tenth interval of the length of the transition piece.