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.

Keywords

• Heat transfer
• Radial stagnation point flow
• Twisting cylinder
• Nanofluid
• Numerical solution