%0 Journal Article %T Heat and Mass Transfer in Unsteady Magneto-Hydrodynamic Nanofuid Flow through a Divergent Conduit with Chemical Reaction and Radiation %A Valarie Nvakerario Nvabuti %A Edward Richard Onyango %A Phineas Roy Kiogora %J Journal of Applied Mathematics and Physics %P 709-728 %@ 2327-4379 %D 2025 %I Scientific Research Publishing %R 10.4236/jamp.2025.133039 %X Heat and mass transfer in unsteady Magneto-Hydrodynamic (MHD) nanofluid (Silver-water) flow through a divergent conduit with chemical reaction and radiation has been investigated. The study aimed to determine the distribution of energy and nanoparticles in the system. The governing non-linear partial differential equations are transformed into non-linear ordinary differential equations using similarity transforms and numerically solved using the spectral collocation method. The resultant system of equations has been implemented in MATLAB to generate graphical results. The rate of heat transfer increased with an increase in the Eckert number and Joule heating parameter and decreased with increasing radiation parameter whereas the mass transfer rate increased with an increase in the Schmidt number, Soret number, and Chemical reaction parameter. These research findings would be useful to engineers and researchers in designing optimal heat exchanger systems to maximize heat and mass transfers in the geothermal industry. %K Heat and Mass Transfer %K MHD %K Nanofluid %K Divergent Conduit %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=141321