Numerical Simulations of Time-Dependent Micro-Rotation Blood Flow Induced by a Curved Moving Surface Through Conduction
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RESEARCH ARTICLE-MECHANICAL ENGINEERING
Numerical Simulations of Time-Dependent Micro-Rotation Blood Flow Induced by a Curved Moving Surface Through Conduction of Gold Particles with Non-uniform Heat Sink/Source Yu-Ming Chu1,2 · Umair Khan3 · Anum Shafiq4 · A. Zaib5 Received: 23 May 2020 / Accepted: 2 November 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract Cancer remains one of the leading healthcare problems in the world, and efforts continue not only to discover new therapies but also to find better ways to deliver medicines. The need to transmit cytotoxic agents selectively to cancer cells, to improve safety and efficacy, has prompted the application of nanotechnology in medicine. The latest explorations have revealed that gold nanomaterials can rectify and defeat it since they have a large atomic quantity to generate heat and contribute to malignant tumor therapy. The purpose of the present study is to investigate the consequence of heat transport through micropolar blood flow which contains gold nanomaterials in a moving shrinking/stretching curved surface. The mathematical modeling of micropolar nanofluid containing gold blood nanomaterials (AuNPs) toward the curved shrinking/stretching surface is simplified by utilizing suitable transformation. Numerical dual solutions are regulated for the temperature distribution and velocity field by using the bvp4c technique in MATLAB. Impacts of pertinent constants on temperature distribution and velocity are examined. Consequently, findings indicate that gold nanomaterials are useful for drug movement and delivery mechanisms, as velocity boundary is controlled by suction and unsteady parameters. Gold nanomaterials also raise the temperature field, so that cancer cells can be destroyed. Keywords Blood flow · Micropolar liquid · MHD · Non-uniform heat source and sink · Curved shrinking/stretching parameter · Thermal radiation · Gold nanoparticle
Abbreviations
B ∗ , A∗
B0
c C F Re0.5 s Cm Res F G j K1 M Mm
Temperature- and space-dependent source/sink Constant rate Dimensionless friction factor Couple stress Dimensionless velocity Dimensionless micro-rotation Micro-inertia Micropolar or material parameter Magnetic parameter Wall couple stress
N Nus Re−0.5 s n0 p Pr Q∗ q qw
Micro-rotation velocity Local Nusselt number Constant Pressure Prandtl number Non-uniform heat sink or source Radius of curvature Flux of heat
B
Intensity of the magnetic field
A. Zaib [email protected]
1
Department of Mathematics, Huzhou University, Huzhou 313000, People’s Republic of China
2
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, People’s Republic of China
3
Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, Sindh 65200, Pakistan
4
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, People’s Republic of China
5
Department of Mathematical Sciences, Federal U
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