Optimization of cryogenic piping using Pareto optimal solution method

UDC 532.5.01

Optimization of cryogenic piping using Pareto optimal solution method

Zaitsev A.V. , LOGVINENKO E. V.


Abstract
The article deals with optimization of cryogenic piping, performance criterion being hydraulic and heat pressure loss power. Cryogenic liquid flow is described by differential equations system (equation of motion and continuity, equation for thermal condition of liquid (energy equation); system of equations for thermophysical properties of cryogenic liquid). Then we use finite differences instead of differentials to get numerical solution. Parameter space method is used for optimization. It allows quick response to intermediate calculation results and parameters upgrading, so, finding solutions becoming optimal. Numerical analysis algorithm for system space parameters and flow-scheme are given. The theory is exemplified by optimization of app. 100 m. length cryogenic piping for liquid nitrogen. Inner tube diameter is 36×2 mm, pipe casing diameter is 100×2 mm. Optimal solutions are given. The best sampling point (parameter set) is chosen. The total loss is within 1.3 kW there.

Keywords: cryogenic piping, optimization, Pareto optimal solution, cryogenic liquid, handling


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