Effects of uniform circular motion on natural convection in a cavity filled with a nanofluid using incompressible SPH method

Abstract

This work investigates the impacts of the uniform circular motion for the solid structures on the buoyancy driven flow inside a nanofluid-filled cavity. Here, the uniform circular velocity is applied for different solid structures including circular cylinder, cross and rod shapes. The incompressible smoothed particle hydrodynamics (ISPH) method is applied to simulate the buoyancy driven flow from uniform circular motion of different geometries inside a square cavity. In ISPH method, the renormalized kernel function is used for treating rigid boundary and shifting technique is adopted to prevent particles gathering. Simulations have been performed for different lengths of the moving rod (LRod = 0.05, 0.1, 0.15, 0.2 and 0.3), lengths of the moving cross shape (LCross = 0.1, 0.2, 0.3 and 0.4), values of the time parameters (τ = 0.005, 0.05, 0.25, 0.5, 1 and 1.25), values of the nanoparticles volume fraction (ϕ = 0 % , 5 % and 10 % ) as well as values of the Rayleigh number (103 ≤ Ra ≤ 105). The results disclosed that the maximum values of the stream function are enhanced by 41% when lengths of the moving rod were varied from 0.05 to 0.3. In addition, the increases in length of the moving rod and length of the moving cross shape. Adding nanoparticles volume fraction causes a significant enhancement in the mean Nusselt number. ISPH method showed a well tool to simulate the uniform circular motion of different solid structures inside a cavity.