Abstract
This paper deals with the instable Nusselt number and fluid velocity in nanocomposite pipes conveying nanofluid subjected to transient heat transfer. The CNTs due to its magnetic and elastic properties are selected for reinforcement of the pipes considering agglomeration of CNTs based on Mori–Tanaka model. The interactions of nanofluid on the pipe are divided to three sections of work of nanofluid viscosity by momentum equations of fluid, work of turbulent pressure by linear potential flow theory, kinetic, gyroscopic and potential energies of the nanofluid based on energy method. The convection of inner and outer fluids, conduction of pipe and heat generation induced by magnetic field are considered based on energy balance. The first order shear deformation theory (FSDT) and Lagrange method are applied for obtaining the coupled motion equations of the pipe-nanofluid. Applying semi-analytical and iterative methods, the instable fluid velocity, Reynolds and Nusselt numbers are determined. The influences of different parameters such as CNTs volume percent and agglomeration, volume percent, diameter and types of nanoparticles in the fluid as well as shell surface roughness are shown on the instable parameters. Numerical results indicate that SiO2-water nanofluid is the best choice among the assumed nanoparticles since the pipe will be instable at higher fluid velocity and Nusselt number.
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