MHD Nanofluidic Flow Past a Nonlinear Exponentially Stretched Plate with Enhanced Thermal Source/Sink and Thermo-migration

Abstract

The study investigates the heat transfer characteristics of a nanofluidic flow past a non-linear exponentially stretched plate in the presence of enriched heat generation/absorption through the application of the Standard approximation technique. The significance of the study include but not limited to drug targeting, food processing industries, manufacturing firms, solar power technology and nuclear mechanisations etc. The mathematical models governing the fluid flow is modelled through the Navier-Stokes equations. Thus, such partial differential expressions (PDE) are transformed into coupled ordinary differential models (CODM) through the application of adequate similarity transformation variables. Thereafter, the resulting equations are solved by the use of the standard series approximation technique with appropriate boundary conditions. However, the Wolfram Mathematica package has been applied for the numerical solutions. Thus, the results showed that the presence of nanoparticles and thermal source/sink significantly affects the velocity, temperature and mass concentration. It was found that an increase in the Hartman number leads to a decline in the velocity of the flow whereas the velocity distribution surges as radiation and Grashof parameters appreciate in values. Similarly, a rise in the thermo-migration factor breeds an upsurge in temperature and nanoparticle concentration respectively. The results also showed that an improvement in the values of Prandtl and Schmidt numbers led to a reduction in the thermal and mass boundary layer thicknesses. Therefore, this study provides an insight into the heat transfer characteristics of nanofluidic flow and can be used in various engineering applications such as cooling of electronic devices and nuclear reactors.

Keywords

• Metallic Particles
• Nanofluidics
• Ordinary Differential Equations
• Series Approximation Scheme
• Wolfarm Mathematica

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