Three-dimensional MHD slip flow of nanofluids over a slendering stretching sheet with thermophoresis and Brownian motion effects

- A mathematical model is proposed for the 3D nano slip-flow over a slendering surface.
- Thermophoresis and Brownian motion monitors the heat and mass transfer rate.
- Slendering surface causes to reduce the wall friction.
- Thermal boundary layer of Cu-water nanofluid is effective on slendering surface.
- Slip effect regulates the thermal and concentration boundary layers.

The present report covers the investigation of three-dimensional MHD nanofluid flow over a slendering (variable thickness) stretching sheet bearing thermophoresis, Brownian motion and slip effects. For this investigation, we considered water based Cu and CuO nanofluids. With the assistance of similarity transformations, we changed the derived governed equations as ordinary differential equations. The mathematical results determined by employing Runge-Kutta and Newton's methods. We exhibit and explain the graphs for various parameters of interest. We discussed the skin friction coefficient, reduced Nusselt and reduced Sherwood numbers for the influence of the pertinent parameters with the assistance of tables separately for two nanofluids. (Cu-water and CuO-water). Results are validated by comparing with the published results and found a favorable agreement.

Graphical AbstractThe present report covers the investigation of three-dimensional MHD nanofluid flow over a slendering (variable thickness) stretching sheet bearing thermophoresis, Brownian motion and slip effects. For this investigation, we considered water based Cu and CuO nanofluids. With the assistance of similarity transformations, we changed the derived governed equations as ordinary differential equations. The mathematical results determined by employing Runge-Kutta and Newton's methods. We exhibit and explain the graphs for various parameters of interest. Consider an electrically conducting, incompressible three dimensional flow of nanofluids across a stretching sheet with varying thickness bearing slip effects. The variable thickness of the sheet can be described as z=A(x+y+c)1-n2. For the sheet become sufficiently thin, we have chosen A is small. We also assumed that the stretched velocity of the sheet is Uw=a(x+y+c)n-12 and this is valid for n≠1 since n=1 refers the flat sheet case. A magnetic field of strength B0 is applied to the flow as displayed in Fig. 1. Physical model of the problem.45