Fractional order stagnation point flow of the hybrid nanofluid towards a stretching sheet

• Published in: Scientific reports Vol. 11; no. 1; p. 20429
• Main Authors: Saeed, Anwar, Bilal, Muhammad, Gul, Taza, Kumam, Poom, Khan, Amir, Sohail, Muhammad
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 14-10-2021; Nature Publishing Group; Nature Portfolio
• Subjects: 639/166; 639/705; Cell therapy; Differential equations; Humanities and Social Sciences; Magnetic fields; multidisciplinary; Nanocomposites; Nanoparticles; Nanotechnology; Science; Science (multidisciplinary); Silver; Titanium dioxide; Velocity
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-021-00004-3

Fractional calculus characterizes a function at those points, where classical calculus failed. In the current study, we explored the fractional behavior of the stagnation point flow of hybrid nano liquid consisting of TiO
2
 and Ag nanoparticles across a stretching sheet. Silver Ag and Titanium dioxide TiO
2
 nanocomposites are one of the most significant and fascinating nanocomposites perform an important role in nanobiotechnology, especially in nanomedicine and for cancer cell therapy since these metal nanoparticles are thought to improve photocatalytic operation. The fluid movement over a stretching layer is subjected to electric and magnetic fields. The problem has been formulated in the form of the system of PDEs, which are reduced to the system of fractional-order ODEs by implementing the fractional similarity framework. The obtained fractional order differential equations are further solved via fractional code FDE-12 based on Caputo derivative. It has been perceived that the drifting velocity generated by the electric field
E
significantly improves the velocity and heat transition rate of blood. The fractional model is more generalized and applicable than the classical one.