TY - JOUR

T1 - Insights into the dynamics of blood conveying gold nanoparticles on a curved surface when suction, thermal radiation, and Lorentz force are significant

T2 - The case of Non-Newtonian Williamson fluid

AU - Khan, Umair

AU - Zaib, A.

AU - Ishak, A.

AU - Bakar, Sakhinah Abu

AU - Animasaun, I. L.

AU - Yook, Se Jin

N1 - Publisher Copyright:
© 2021 International Association for Mathematics and Computers in Simulation (IMACS)

PY - 2022/3

Y1 - 2022/3

N2 - The motion of blood conveying gold nanoparticles on a curved surface when suction, thermal radiation, and Lorentz force are significant is explored in this report with the aim to announce the increasing effects of Williamson fluid parameter, volume fraction, radius of curvature, thermal radiation, and Lorentz force on such a transport phenomenon. This report was designed to explore the upper and lower solutions of the model suitable to study the enhancement of the aforementioned variables. The similarity solution of the dimensional governing equation was sought using the appropriate similarity variables. These dimensionless forms of ODEs are numerically solved using the 3-stage Lobatto formula, also known as bvp4c. The validation of the numerical scheme was considered. The drag force decelerates and then upsurges owing to the volume fraction of nanoparticles in the corresponding UBS and reduces in LBS, while the rate of heat transfer drastically decreases. The temperature and velocity gradient escalate and decelerate, respectively for both branches of results owing to the effect of higher curvature parameter. The temperature distribution decelerates in both outcomes due to the strength of mass suction while the velocity is weakened in the lower branch solution (LBS) and augments in the upper branch solution (UBS).

AB - The motion of blood conveying gold nanoparticles on a curved surface when suction, thermal radiation, and Lorentz force are significant is explored in this report with the aim to announce the increasing effects of Williamson fluid parameter, volume fraction, radius of curvature, thermal radiation, and Lorentz force on such a transport phenomenon. This report was designed to explore the upper and lower solutions of the model suitable to study the enhancement of the aforementioned variables. The similarity solution of the dimensional governing equation was sought using the appropriate similarity variables. These dimensionless forms of ODEs are numerically solved using the 3-stage Lobatto formula, also known as bvp4c. The validation of the numerical scheme was considered. The drag force decelerates and then upsurges owing to the volume fraction of nanoparticles in the corresponding UBS and reduces in LBS, while the rate of heat transfer drastically decreases. The temperature and velocity gradient escalate and decelerate, respectively for both branches of results owing to the effect of higher curvature parameter. The temperature distribution decelerates in both outcomes due to the strength of mass suction while the velocity is weakened in the lower branch solution (LBS) and augments in the upper branch solution (UBS).

KW - Blood-gold nanofluid

KW - Dynamics on a curved surface

KW - Lorentz force

KW - Non-Newtonian Williamson fluid

KW - Suction and thermal radiation

UR - http://www.scopus.com/inward/record.url?scp=85118575163&partnerID=8YFLogxK

U2 - 10.1016/j.matcom.2021.10.014

DO - 10.1016/j.matcom.2021.10.014

M3 - Article

AN - SCOPUS:85118575163

VL - 193

SP - 250

EP - 268

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

SN - 0378-4754

ER -