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

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 sigma, the volume fraction of nanoparticles phi 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 sigma, a weak function of phi 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 sigma for the starting value g'(1)=0 at sigma=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.

Automated summary

The thermal case study focuses on inspecting heat transfer aspects for radial stagnation point flow. A linear twisting cylinder is assumed for the heated viscous nanofluid, and the arrangement between torsionally rotating cylinders and radial stagnation point flow is investigated. The study articulates three possible parameters: the dimensionless torsion rate sigma, the volume fraction of nanoparticles phi, and the Wangs Reynolds number R. Numerical results of the governing flow field equations are obtained using the BVP-Midrch routine integrated with the Maple software. It is found that the axial wall stress is weakly dependent on sigma, weakly dependent on phi, and strongly dependent on R. The azimuthal wall stress is strongly dependent on R and shows a decreasing behavior, linearly increasing with sigma at the starting value of zero. The temperature gradient exhibits slight variation during positive iteration in torsional rate, and the heat flux at the surface has a direct relation to the volume fraction of nanoparticles.