Abstract:

When designing and calculating the insulation layer thickness of petrochemical equipment and pipelines, the outer diameter of a cylindrical insulation layer can only be simplified to the implicit function form of D1·ln (D1/D0). However, the methods of solving for the outer diameter D1 of insulation layer by looking up charts or manually testing are time-consuming and laborious and has poor accuracy. Based on four mathematical methods including value-added root seeking method, bisection method, Monte Carlo method and Newton iteration method, the thickness of insulation layer can be accurately and efficiently solved combined with the VBA program or combination of new functions in Excel. In addition, the characteristics of iteration times and convergence speed of the four mathematical methods are compared, the selection table for double-layer insulation thickness is calculated by using Monte Carlo method. This provides excellent computational support for the thickness design of insulation layer of petrochemical equipment and pipelines.

Key words: petrochemical, equipment and pipeline, insulation layer thickness, design and calculation, Monte Carlo method, Newton iteration method ')">

petrochemical, equipment and pipeline, insulation layer thickness, design and calculation, Monte Carlo method, Newton iteration method