Aspects of elastic deformation and nanomaterials past a deviating cone and wedge elongational surfaces driven by a waste discharge concentration

Abstract

This existing work has several beneficial advantages in science and engineering including developing more efficient cooling systems, elastic deformation has a substantial application in the ceramic foam and plastic industries. Environmental applications require waste discharge concentration through a different geometry (Cone and Wedge). The current article examines the influence of a magnetic field (MF) on nanofluid passing through a cone and wedge with mass and heat transmission. Solving nonlinear partial differential equations (PDEs) that employ similarity transformations to transform into a collection of ordinary differential equations. The temperature equation considers physical aspects like elastic deformation, while the concentration equation considers external sources of local contaminants. Using numerical methods (Runge–Kutta–Fehlberg 4th 5th and shooting method), ordinary differential equations and related reduced boundary conditions (BCs) are solved. Plots are used to illustrate the significance of dimensionless constraints and their effects. The novel outcomes show that increases in elastic deformation constraint decrease the temperature distribution, and a rise in the local pollutant external source increases the concentration profile. The rate of mass and heat transfer, as well as fluid surface drag force, is enhanced by including solid volume fraction in combination with other parameters. The cone performs well in the rate of heat transfer and fluid surface drag force, while the wedge is in the rate of mass transmission. The study's outcomes are helpful in several practical applications, including enhanced cooling systems, environmental remediation, processing of materials, and nanotechnology.