Thermal Radiation on Darcy Forchheimmer Flow of a Casson Nanofluid
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Date
2024-06
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Abstract
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 has a great agreement 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. In this paper, the effects of
thermal radiation on Darcy Forchheimer flow of a two- dimensional, steady, incompressible flow of Casson
Nanofluid over a linear stretching surface are studied. The equations governing the fluid flow are
formulated, then transformed to a system of ordinary differential equations using similarity variables then,
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 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 of a system leading to a decrease in fluid’s flow temperature.
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Loco, V. S., & Mutuku, W. N. (2024). Thermal Radiation on Darcy Forchheimmer Flow of a Casson Nanofluid. International Journal of Research and Innovation in Applied Science, 9(5), 232-246.