The Unified Impact of Inclined Magnetic Field and Temperature‐Oriented Thermal Conductivity on Carreau Flow Through an Oblique Stretching Cylinder

The Carreau fluid behavior is observed in multiple practical applications and a few familiar processes, such as blood flow, sewage sludge, due to paints or varnishes, waxy crude oils, etc. Its wide range of applications motivates us to focus on the two‐dimensional laminar Carreau flow past an inclined stretching cylinder in the current analysis, which is significant in biomedical engineering and industrial processes. Additionally, real fluids are sensitive to temperature, and hence their thermal conductivity fluctuates with the surrounding temperature. Therefore, to attain a more reliable result in the present study, the thermal conductivity of the fluid is assumed as a function of temperature, and the model is influenced by the oblique magnetic field that is applied to the system externally. The flow model is mathematically framed through partial differential equations. The finite difference technique is adopted to discretize the governing equations. The original nonlinear system of equations is linearized using a quasi‐linearization scheme. The strong convergence criteria are implemented in the code to ensure the convergence of the computational results. The final outcomes are extracted using the Thomas algorithm. The flow characteristics are studied and interpreted physically under the influence of different emerging parameters. The friction factor and heat transfer rate are also computed with an engineering interest. At a high shear rate, the flow characteristics are found to be higher in Newtonian fluid than in non‐Newtonian fluid. The fluid velocity and temperature are altered with the angle of oblique cylinder, and they are higher with a lower angle of inclination. The flow parameters that influence the streamlines and isotherms are illustrated and discussed. It is concluded from the computations that the higher angle of inclination of the cylinder reduces the frictional force due to the fluid flow and increases the heat transfer rate near the wall. Also, when the oblique angle of the magnetic field is enhanced, the skin‐friction coefficient reduces, and the heat transfer rate increases in both the Newtonian and non‐Newtonian fluid flows.