Numerical heat transfer assessment for rheological aspects of nonlinear thermally radiative flow of tangent hyperbolic nanofluid

The current study concentrates on the two-dimensional steady flow analysis of a tangent hyperbolic fluid with the significance of an inclined magnetic field over a thin moveable needle. The thermal analysis includes heat generation/absorption and nonlinear thermal radiation effects. Moreover, the two-phase model base analysis of mass and heat transport mechanisms through the Buongiorno model is carried out in this study. The governing equations with dimensionless form are tackled numerically through the ND Solve technique in Mathematica. The analysis of various features of the flow phenomenon corresponding to the two cases of static and moving needle or static and moving fluid is carried out influenced by numerous pertinent parameters. To confirm the validity of the current study, the results obtained are compared with previous findings. A good correlation between the present and previous findings substantiates the validation of the flow problem. This study reveals that in both the cases of moving and stationary needles, the flow rate dwindles corresponding to the escalating magnitude of the power-law index. Moreover, the improved Brownian motion parameter amplifies the rate of heat transport corresponding to both cases of static and movable needles.