Transport phenomena in hydromagnetic convective Carreau nanoliquid flow over an elongating cylinder: A statistical approach

Abstract

The current work presents the convective Carreau nanoliquid flow along an elongating cylinder in the presence of magnetic field and slip constraints. Thermal radiation, viscous dissipation, and Joule heating effects are also considered. The modeled partial differential equations (PDEs) are solved utilizing BVP5C (MATLAB built‐in function) and appropriate similarity transformations. It is noted that the velocity and temperature are inversely proportional and directly proportional to the Hartmann number, respectively. Consequences of various parameters on Sherwood number, Nusselt number, and drag coefficient are analyzed employing tables and graphs. It is noted that the Eckert number demotes heat transfer rate. Verification of the MATLAB code is guaranteed through a reduced study with previously published papers and a good agreement is observed. The simultaneous impact of parameters on the Sherwood number is analyzed using two‐dimensional plots. The influence of parameters on heat transfer rate and drag coefficient are further scrutinized using statistical techniques like correlation and regression.

Non-similar approach on the MHD Carreau nanofluid flow with quadratic radiation and Soret-Dufour effects

“…An overall decline in heat transfer occurred due to the inclusion of thermal slip, linear and exponential heat source parameters. In the existence of slip constraints and magnetic field parameter, Neethu et al [57] utilized statistical methods like correlation and regression to examine how the non-linear thermal radiation affect the rate of heat transfer. Khan et al [58] introduced convective mass and heat conditions along with thermal conductivity (temperature dependent) in the Carreau nanofluid flow that is not steady.…”