Thermal transport of natural convection flow of second grade bio-nanofluid in a vertical channel

Abstract

This study deals with the investigation of thermal transport of natural convection flow of a second grade bio-nanofluid in a vertical channel. Nanoparticles, Alumina (Al2O3) and Titania (TiO2) are combined with Sodium Alginate (SA) as non-Newtonian base fluid. The structure has been modeled in the form of governing differential equations which are then non-dimensionalized and solved by means of Laplace and Fourier sine transforms to obtain solutions for temperature and velocity field. These solutions satisfy the governing equations as well as all initial and boundary conditions. The obtained solutions are new and previous literature lacks such derivations. Moreover, the obtained solutions can easily be reduced to equivalent solutions for viscous bio-nanofluids. Finally, the temperature and velocity profiles of the respective model are graphically presented and deliberated for the pertinent thermo-physical parameters.

Keywords

• Thermal transport
• Natural convection flow
• Second grade bio-nanofluid
• Vertical channel
• Integral transform