Numerical Investigation of Endothermic/Exothermic Reaction in MHD Natural Convective Nano-Fluid Flow over a Vertical Cone with Heat Source/Sink

Silpi  HAZARIKA; Sahin  AHMED

doi:10.48048/wjst.2021.22834

Authors

Silpi HAZARIKA Department of Mathematics, Rajiv Gandhi University, Arunachal Pradesh, India
Sahin AHMED Department of Mathematics, Rajiv Gandhi University, Arunachal Pradesh, India

DOI:

https://doi.org/10.48048/wjst.2021.22834

Keywords:

Buoyancy ratio parameter, Chemical reaction, Heat source, Porous vertical cone, Viscous dissipation

Abstract

The significance of natural convective MHD flow of nano-fluid over a vertical cone with Brownian motion, viscous dissipation, heat generation, thermophoresis, and chemical reaction in porous surroundings is discussed in this article. The leading non-linear PDEs are transmuted by using applicable similarity transform and the reformed equations, along with the boundary conditions, are numerically solved by finite difference technique of bvp4c code via MATLAB code. The significance of the controlling parameters on velocity, temperature, and concentration are portrayed vividly. Furthermore, skin friction, Nusselt number, and Sherwood number are charted for diverse parameters. It is worth mentioning that impact of heat source ( ) on velocity and temperature is remarkable. Molar species concentration is accentuated with progressive values of Dufour number, while it is the opposite for velocity and temperature profiles. Moreover, thermal energy is absorbed due to the application of endothermic chemical reaction that cools the surroundings, which minimizes the diffusion rate of molecules and, therefore, less molar concentration is occurred. Conduction is the dominant mechanism for heat transport by applying Rayleigh number. The profiles of skin friction, Nusselt number, and Sherwood number are reduced with higher values of Rayleigh number. The present study has an appreciable impact on many engineering applications, such as magnetic storage media, the cooling systems of electronic devices, nuclear power plants, the chemical industry, and many more.

HIGHLIGHTS

Heat source/sink is a key parameter for rate of heat/mass transfer of nanofluid flow
Exothermic chemical reaction plays a dynamic role to boost the nanofluid flow motion
Higher Rayleigh number decays the flow rate as well as rate of heat and mass transfer
The study incorporates the application of Brownian motion in nanofluid flow
Current study has diverse applications in cooling process

GRAPHICAL ABSTRACT

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