MHD flow of nanofluid over moving slender needle with nanoparticles aggregation and viscous dissipation effects

The study of boundary layer flows over an irregularly shaped needle with small horizontal and vertical dimensions is popular among academics because it seems to have a lot of uses in fields as different as bioinformatics, medicine, engineering, and aerodynamics. With nanoparticle aggregation, magnetohydrodynamics, and viscous dissipation all playing a role in the flow and heat transmission of an axisymmetric TiO2 - C2H6O2 nanofluid via a moving thin needle, this article provides guidance on how to employ a boundary layer for this purpose. In this case, we utilized the similarity transformation to change the dimensional partial differential equation into the dimensionless ordinary differential equation. We utilize MATHEMATICA to include shooting using RK-IV methods after identifying the numerical issue. Several characteristics were measured, leading to the discovery of a broad variety of values for things like skin friction coefficients, Nusselt numbers, velocity profiles, and temperature distributions. Velocity profile decreases with increasing values of theta, M, e and increases against epsilon. Temperature profiles enhances with increasing values of theta, M, e, theta, and Ec. The reduction in skin friction between a needle and a fluid can be observed when the values of M and. are boosted. Furthermore, it was also noticed an increase in heat transfer on needle surface dramatically when theta, epsilon, and M were raised, whereas Ec displayed the opposite effect. The findings of the current study are compared with prior findings for a particular instance in order to confirm the findings. Excellent agreement between the two sets of results is found.

Automated summary

This article focuses on the study of boundary layer flows over an irregularly shaped needle with small dimensions, which has various applications in bioinformatics, medicine, engineering, and aerodynamics. By transforming the dimensional partial differential equation into a dimensionless ordinary differential equation using similarity transformation and utilizing MATHEMATICA for numerical calculations, several important characteristics such as skin friction coefficients, Nusselt numbers, velocity profiles, and temperature distributions were measured. The findings revealed that velocity profile decreases with increasing values of theta, M, e and increases against epsilon. Temperature profiles enhance with increasing values of theta, M, e, theta, and Ec. The reduction in skin friction between a needle and a fluid can be observed when the values of M and epsilon are boosted. Furthermore, an increase in heat transfer on needle surface is noticed when theta, epsilon, and M are raised, whereas Ec displayed the opposite effect. The findings of this study are compared with prior findings, showing excellent agreement between the two sets of results.