Numerical results for influence the flow of MHD nanofluids on heat and mass transfer past a stretched surface

Nader Y Abd Elazem

doi:10.1515/nleng-2021-0003

Abstract

Abstract Due to its significant applications in physics, chemistry, and engineering, some interest has been given in recent years to research the boundary layer flow of magnetohydrodynamic nanofluids. The numerical results were analyzed for temperature profile, concentration profile, reduced number of Nusselt and reduced number of Sherwood. It has also been shown that the magnetic field, the Eckert number, and the thermophoresis parameter boost the temperature field and raise the thermal boundary layer thickness while the Prandtl number reduces the temperature field at high values and lowers the thermal boundary layer thickness. However, if Lewis number is higher than the unit and the Eckert number increases, the concentration profiles decrease as well. Ultimately, the concentration profiles are reduced for the variance of the Brownian motion parameter and the Eckert number, where the thickness of the boundary layer for the mass friction feature is reduced.

Highlights

One of the most important emerging developments of the 21st century is nanotechnology
It has been shown that the magnetic eld, the Eckert number, and the thermophoresis parameter boost the temperature eld and raise the thermal boundary layer thickness while the Prandtl number reduces the temperature eld at high values and lowers the thermal boundary layer thickness
Kuznetsov and Nield [10] investigated the effect of nanoparticles on the natural convection boundarylayer ow through a vertical plate, using a model in which Brownian motion and thermophoresis are represented

Summary

Introduction

One of the most important emerging developments of the 21st century is nanotechnology. [28], the authors concern with the examination of heat transfer rate, mass and motile microorganisms for convective second grade nano uid ow. There is a physical justi cation to study the prsent article, there is enhance in the dimensionless of the stream function f , temperature θ, and volume of nanoparticles φ, respectively, We studied the MHD ow of nano uid over a stretched surface on heat and mass transfer to extend to the work of Abd Elazem [19]. The domain [ , xmax] × [ , ηmax] is mapped into the computational domain [ , xmax] × [− , ] The application of this method to di erential equation leads to system of algebric equations.

Results and Discussion

Conclusion

Rounding o error analysis

Example 1