Analytical Study On Thermo-solutal Natural Convection Flow In An Inclined Channel Filled With Porous Material

This dissertation presents an analytical study on thermo-solutal natural convection flow in aninclined channel filled with porous material. Two problems are considered in this work. In bothproblems, the flow is assumed to be hydrodynamically and thermally fully developed and themathematical equations governing the flow were formulated. The first problem focused on Soreteffect on steady natural convection of double-diffusive flow of heat generating fluid. While thesecond problem examines the transpiration and Soret effects on thermo-solutal convection flowof heat generating fluid in an inclined porous channel filled with porous material. Usingappropriate transformations, the differential equations governing the flow were transformed andsolved analytically to obtain an expression for velocity, concentration, temperature, skin friction,Nusselt number, Sherwood number as well as volumetric flow rate. The effects of variousgoverning parameters on fluid velocity, concentration, temperature, skin friction, Nusseltnumber, local Sherwood number and volumetric flow rate are shown in graphs and tables andanalyzed in detail. During the course of this investigation, it is found that Soret effect, angle ofinclination and viscosity of the porous material are very effective in controlling thehydrodynamics within the channel.Furthermore, there is a rise in the skin friction on both platesdue to increase in heat generation parameter  , permeability parameter 𝐷𝑎 and angle ofinclination 𝑎 while a fall is observed in skin friction on both plates due to increase in Prandtlnumber 𝑃𝑟, Soret number 𝑆𝑜 and Schmidt number 𝑆𝑐.

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