Multiple regression analysis of the Blasius and Sakiadis flow of the power-law nanofluid over a moving thin needle

Abstract

Fluid flow over a thin moving needle surrounded by a nanofluid has recently gained attention due to its application in science and technology. Hence, the current investigation aims to analyse a power-law nanofluid flow along a thin needle and make a comparative analysis with Blasius and Sakiadis flow problems. The Buongiorno nanofluid model is used to study the influences of thermophoresis and Brownian motion. Using a Bvp4c method, the dimensionless governing equations of the model are solved. The findings indicate that the power-law index and the needle thickness reduce the velocity field in the Blasius flow, but quite the opposite trend is observed in the Sakiadis flow. In the Sakiadis flow, the temperature and the concentration fields dominate over the Blasius flow. In addition, regression analysis is employed to acquire deeper insight into the engineering quantities. The thermal transmission rate increased in the Sakiadis flow compared to that in the Blasius flow with an increase in the Brownian motion parameter. The study outcomes will help us understand the theoretical concepts behind applications, such as hot wire anemometers, targeted drug delivery, cancer treatment, micro-cooling systems and medical equipments such as dialysis machines, biopsy, infusion pumps, medical implant design.