Thermal case study on linearly twisting cylinder: A radial stagnation point flow of nanofluid

Abstract

The thermal case study is performed to inspect heat transfer aspects for radial stagnation point flow. For this phenomenon, the study assumes a linear twisting cylinder for the heated viscous nanofluid and the arrangement is investigated among the torsionally rotating cylinders and radial stagnation point flow. The dimensionless torsion rate σ , the volume fraction of nanoparticles φ and the Wangs Reynolds number R are three possible parameters that are articulated in the study. The BVP-Midrch routine integrated with the Maple software is used to obtain numerical results of the governing flow field equations. It is found that the axial wall stress f ″ ( 1 ) is a very weak function of σ , a weak function of φ and a strong function of R . Also, the azimuthal wall stress g ′ ( 1 ) is a strong function of R and shows a practically decreasing behavior and is linear with σ for the starting value g ′ ( 1 ) = 0 at σ = 0 . It is seen that the temperature gradient admits trifling variation for the positive iteration in torsional rate. Furthermore, the heat flux at surface admits direct relation towards volume fraction of nanoparticles.