Effects of Thermal Radiation on Darcy Forchheimmer Flow of a Casson Nanofluid
| dc.contributor.author | Loco, Valerie Sasha | |
| dc.date.accessioned | 2025-02-13T08:31:03Z | |
| dc.date.available | 2025-02-13T08:31:03Z | |
| dc.date.issued | 2024-11 | |
| dc.description | A Research Project Submitted in Partial Fulfilment of the Requirements for the Award of the Degree of Masters of Science (Applied Mathematics) in the School of Pure and Applied Sciences of Kenyatta University, November 2024. Supervisor Winifred. N. Mutuku | |
| dc.description.abstract | Fluids are non-solid states of matter which deform continuously when an external force is subjected to them. They can be classified as either Newtonian or non-Newtonian fluids. Since most fluids fall within the category of non-Newtonian fluids, models like the Casson fluid model have been developed. Owing to Casson nanofluids’ enhanced thermophysical properties, it has a wide range of applications in the fields of mining, drilling operations, material science, metallurgy, food manufacturing, and nanotechnology and bio-engineering. Casson fluid is frequently modelled since the model agrees with the rheological evidence about human blood. Some of its applications in technological, industrial, mechanical, and scientific disciplines include; grain storage, geothermal energy production, designing warm protectors, artificial dialysis, catalytic converters, circulation of water in reservoirs and fermentation processes. On the other hand, radiation heat transfer mechanism has an immense impact in industries, engineering, technological fields where apparatus operate at extremely high temperatures. This study aims to investigate the effects of thermal radiation on Darcy Forchheimer flow of a two- dimensional, steady, incompressible flow of Casson Nanofluid over a linear stretching surface. The equations governing the fluid flow are formulated, then transformed to a system of ordinary differential equations using similarity variables. The resulting ordinary differential equations are solved using the fourth order Runge- Kutta Method. The model is simulated using MATLAB bvp4c to demonstrate the impact of pertinent parameters on the temperature, velocity, and concentration of the fluid. It was observed that an increase in the thermophoretic parameter leads to an increase of the temperature at the boundary. The concentration of the fluid decreases with an increase in porosity parameter value. Increasing the Brownian Motion parameter leads to an increase in concentration. An increase in Schmidt number leads to a decrease in temperature. Schmidt number increases with a decrease in concentration. The velocity and temperature profiles decrease with an increase in porosity parameter and an increase in thermal radiation leads to an increase of heat energy on the surrounding system leading to a decrease in fluid’s flow temperature. | |
| dc.description.sponsorship | Kenyatta University | |
| dc.identifier.uri | https://ir-library.ku.ac.ke/handle/123456789/29576 | |
| dc.language.iso | en | |
| dc.publisher | Kenyatta University | |
| dc.title | Effects of Thermal Radiation on Darcy Forchheimmer Flow of a Casson Nanofluid | |
| dc.type | Thesis |