Supplemental Materials for "Extension of a Quasi-Two-Dimensional Time-Domain Analytical Solution for Transient Pressurized Flow to Viscoelastic Pipes"

Key Points

• The aim is to provide additional materials that support the analytical solution for transient flow in viscoelastic pipes.
• Supplemental materials including proofs of equations and appendices were provided separately.
• Enhancements aimed to clarify the main paper without adding length.
• Supplemental materials aid comprehension of the analytical solution process.
• Clarifications may improve future applications of the analytical methods in related fields.