Abstract
In this study, a modified Sisko fluid with Buongiorno model effects over a curved surface was considered. The MHD was applied normally to the flow direction, and the effects of chemical reacted and active energy at the curved surface is also discussed. We chose this pertinent non-Newtonian fluid model since it best represents blood composition, and thus helps us venture into complex blood flow problems. Since the flow is discharged over a curved shape, we therefore commissioned curvilinear coordinates to best portray our envisaged problem. We were also required to define various sundry parameters to make our mathematical equations easily solvable. Mathematical modelling was completed by considering traditional assumptions, including boundary layer approximation. Numerical simulation was conducted using MATLAB solver bvp4c. Several numerical tests were conducted to select the best blend of the linked parameters. We noticed thermal flux upsurged when the chemical reaction parameter was increased with the magnetic indicator parameter caused the flow to slow down, while an increasing amount of activation energy enhanced the concentration of the fluid. The numerical results and impacts of assorted parameters on different profiles are elaborated with the help of graphs and a table.
Highlights
Isaac Newton is famous due to his novel contribution in the development of many scientific concepts of physics and mathematics
A combination of power law fluid and Newtonian fluids is referred to as Sisko fluid. It is the extension of power law fluid which was proposed by Sisko in 1958 [1]
Sisko fluid models can be used in understanding the shear thinning and shear thickening characteristics of fluids using different power law indices
Summary
Isaac Newton is famous due to his novel contribution in the development of many scientific concepts of physics and mathematics. Khan et al [6] involved radiation affects while studying the magnetically conducted Sisko nanofluid flows over bi-directional stretching surface. Ahmad and Khan [8] explored the role of moving surface in conducting magnetically charged Sisko nanofluid flows. Both of the authors extended their work in [9] by involving activation energy along with binary chemical reactions by considering the same flow problem. The authors pointed out that medical doctors require help from others including CFD specialists to understand further the complex blood circulation system and possible clinical therapeutic measures to cure from different diseases Another important concept in fluid dynamics is fluid flows over stretching and shrinking geometries. We used curvilinear coordinates along with embedded parameters
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