Double diffusion in square porous cavity subjected to conjugate heat transfer

Abstract

Double diffusion inside a square porous cavity being subjected to conjugate heat transfer arising because of the square solid block at the center is studied under homogeneous properties. The double diffusive equations along with the conjugate effect due to square block are subjected to solution through finite element method (FEM). The right vertical surface of cavity remains at cool temperature (Tc) and concentration (Cc), whereas the hot temperature (Th) and higher concentration (Ch) is maintained at the left surface of the cavity. The investigated parameters considered are the Rayleigh number (Ra), Thermal conductivity ratio (Kr), Lewis number (Le), Buoyancy ratio (N) and the height of solid block (B). The outcomes are presented in terms of contours of concentration, isotherms and streamlines, along with local Sherwood number (Sh) and Nusselt number (Nu). The fluid is found to rush around the top left corner of solid. The mass transfer has sharp rise around the top left corner of the solid block.

Keywords

• double diffusion
• porous media
• solid square block
• finite element method