Ng’ang’a, John Kamau2019-03-202019-03-202018-11http://ir-library.ku.ac.ke/handle/123456789/19173A Project Submitted In Partial Fulfillment Of The Requirement For The Award Of The Degree of Masters of Science in Applied Mathematics in School of Pure and Applied Sciences of Kenyatta UniversityThe study takes into account temperature dependent viscosity and thermal conductivity as well as induced magnetic field in describing the fluid flow .The partial differential equations governing the unsteady flow are transformed to a system of non-linear ordinary differential equations by similarity transformation. The transformed differential equations are solved by collocation method. The numerical results for the flow variables: velocity, temperature and concentration profiles are displayed graphically for several parameters and discussed in details. The effect of physical parameters such as: Skin friction, Nusselt number, Sherwood number and thermophoresis particle deposition are also tabulated. The results show that variable viscosity and thermal conductivity as well as induced magnetic field significantly affect all the three flow variables. With an exception of Variable viscosity for all other parameters if a parameter increases velocity it reduces temperature and concentration or if a parameter decreases velocity it increases temperature and concentrationenThesis