This paper adopts the incompressible smoothed particle hydrodynamics (ISPH) method for simulating the dual diffusion of nano-encapsulated phase change material (NEPCM) in an annulus. Here, the novelty is appearing in simulating the double diffusion of NEPCM within a novel complex shape composed from the paradigm of an annulus between two circular cylinders mounted on rectangles. The ISPH method solved the regulating equations of a physical problem. The scales of parameters are a fusion temperature θf(0.05≤θf≤0.95), buoyancy ratio 0≤N≤10, nanoparticle parameter 0.01≤φ≤0.05, a radius of a circular cylinder 0.1≤rc≤0.4, Darcy parameter 10-2≤Da≤10-5, and Rayleigh's number 103≤Ra≤106. The performed simulations showed that the different boundary conditions amongst an inner blockage and outer cavity walls are affecting the strength of concentration and temperature. The location of a phase change zone is varied according to the variations of variable boundary conditions and fusion temperature. The mean Nusselt and Sherwood numbers are improving under an enlargement in a radius of an internal circular cylinder, and Rayleigh numbers.
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