Significance of temperature dependent viscosity, nonlinear thermal radiation and viscous dissipation on the dynamics of water conveying cylindrical and brick shaped molybdenum disulphide nanoparticles

In this study, the problem of heat transfer in the transport phenomenon of water conveying molybdenum disulphide nanoparticles is presented. The flow takes place over a flat plate along with nonlinear thermal radiation, viscous dissipation and variable viscosity influence. The governing model is simplified as ordinary differential equations with the help of bunch of similarity transformations. Simplified model is treated numerically using Runge–Kut-ta–Fehlberg fourth fifth order technique for the solution. The influence of related parameters and their physical resultant interpretations are presented and discussed in detail. It is found that, the heat transfer augmentation is more for cylinder shape nanoparticle than brick shape. Moreover, it is obtained that, heat transfer phenomena is more significant for nonlinear thermal radiation. Furthermore, enhancement of heat transfer rate is seen due to the impact of viscous dissipation and temperature ratio parameter. © Springer Nature India Private Limited 2019.