Evaluation of Plastic Pipe Performance in Industrial Engineering Utilizing Laplace Transform and the Fourth-Order Runge-Kutta Method

Abstract

Plastic pipes are extensively used in industrial engineering for fluid conveyance owing to their corrosion resistance, lightweight characteristics, and economic efficiency. Nonetheless, their performance under dynamic loading circumstances, including pressure variations and thermal stresses, need comprehensive mathematical modeling for optimum design. This study examines the mechanical properties of plastic pipes using Laplace Transform for transient analysis and employs the Runge-Kutta Fourth-Order (RK4) technique to solve the differential equations that dictate pipe deformation. The findings illustrate the efficacy of these mathematical instruments in forecasting stress distribution, vibrational response, and failure limits in plastic pipe systems.