Winifred Nduku MutukuKigio, John Kinyanjui2022-08-172022-08-172022http://ir-library.ku.ac.ke/handle/123456789/23947A research project submitted in partial fulfilment of the requirements for the award of the Degree of Master of Science (Applied Mathematics) in the School of Pure and Applied Sciences of Kenyatta UniversityCasson fluid has many industrial and engineering applications. However, Casson nanofluid possesses superior electrical and thermal conductivities compared with the original Casson fluid. Hence, the Casson nanofluid is considered in this project. The equation governing the natural convective magnetohydrodynamics flow of Casson nanofluid across a a convectively heated vertical plate is formulated. The equation is reformulated into a system of ordinary differential equations (ODEs) using similarity transformations. Thereafter, a numerical solution of the resulting ODEs is obtained using the Runge-Kutta-Gills method. It is found that flow temperature profiles increase with increasing Eckert number, Biot number and magnetic field strength while flow velocity decreases as the flow becomes Newtonian and as nanoparticle volume fraction increases.enAnalysisMagnetohydrodynamic Convective Heat TransferCasson NanofluidThesis