Double diffusion in a nanofluid cavity with a wavy hot source subjected to a magnetic field using ISPH method

A numerical study for the impacts of a magnetic field on double-diffusion within a nanofluid cavity with a wavy hot source is conducted using incompressible scheme of smoothed particle hydrodynamics (ISPH) method. The numerical ISPH method utilizes projection method to solve the governing differential equations. The ranges of physical parameters are Rayleigh number 10³≤Ra≤10⁶, wave amplitude 2.5≤A≤20, undulation number 1≤n≤10, nanoparticles parameter 0≤ϕ≤0.1 and Hartman parameter 0≤Ha≤100. The performed simulations showed that an increase in the wave amplitude enhances heat and mass transfer and powers the flow speed in a cavity. Adding more concentration of copper into host fluid reduces the stream function maximum. An increase in Hartman parameter reduces the double-diffusion and the maximum of stream function as well. Average Nusselt and Sherwood numbers are reduced as Hartman parameter increases. Larger Rayleigh number is extensively augmented the heat transfer and flow speed in a cavity.