This dissertation presents an analytical study on thermo-solutal natural convection flow in an inclined channel filled with porous material. Two problems are considered in this work. In both problems, the flow is assumed to be hydrodynamically and thermally fully developed and the mathematical equations governing the flow were formulated. The first problem focused on Soret effect on steady natural convection of double-diffusive flow of heat generating fluid. While the second problem examines the transpiration and Soret effects on thermo-solutal convection flow of heat generating fluid in an inclined porous channel filled with porous material. Using appropriate transformations, the differential equations governing the flow were transformed and solved analytically to obtain an expression for velocity, concentration, temperature, skin friction, Nusselt number, Sherwood number as well as volumetric flow rate. The effects of various governing parameters on fluid velocity, concentration, temperature, skin friction, Nusselt number, local Sherwood number and volumetric flow rate are shown in graphs and tables and analyzed in detail. During the course of this investigation, it is found that Soret effect, angle of inclination and viscosity of the porous material are very effective in controlling the hydrodynamics within the channel.Furthermore, there is a rise in the skin friction on both plates due to increase in heat generation parameter ï¤ , permeability parameter ð·ð‘Ž and angle of inclination ð‘Ž while a fall is observed in skin friction on both plates due to increase in Prandtl number ð‘ƒð‘Ÿ, Soret number ð‘†ð‘œ and Schmidt number ð‘†ð‘.