The effect of Fe2O3 nanoparticles instead cement on the stability of fluid-conveying concrete pipes based on exact solution

This paper deals with the stability analysis of concrete pipes mixed with nanoparticles conveying fluid. Instead of cement, the Fe2O3 nanoparticles are used in construction of the concrete pipe. The Navier-Stokes equations are used for obtaining the radial force of the fluid.Mori-Tanaka model is used for calculating the effective material properties of the concrete pipe-Fe2O3 nanoparticles considering the agglomeration of the nanoparticles. The first order shear deformation theory (FSDT) is used for mathematical modeling of the structure. The motion equations are derived based on energy method and Hamilton\'s principal. An exact solution is used for stability analysis of the structure. The effects of fluid, volume percent and agglomeration of Fe2O3 nanoparticles, magnetic field and geometrical parameters of pipe are shown on the stability behaviour of system. Results show that considering the agglomeration of Fe2O3 nanoparticles, the critical fluid velocity of the concrete pipe is decreased.