Abstract

The key objective of this analysis is to examine the flow of hydromagnetic dissipative and radiative graphene Maxwell nanofluid over a linearly stretched sheet considering momentum and thermal slip conditions. The appropriate similarity variables are chosen to transform highly nonlinear partial differential equations (PDE) of mathematical model in the form of nonlinear ordinary differential equations (ODE). Further, these transformed equations are numerically solved by making use of Runge-Kutta-Fehlberg algorithm along with the shooting scheme. The significance of pertinent physical parameters on the flow of graphene Maxwell nanofluid velocity and temperature are enumerated via different graphs whereas skin friction coefficients and Nusselt numbers are illustrated in numeric data form and are reported in different tables. In addition, a statistical approach is used for multiple quadratic regression analysis on the numerical figures of wall velocity gradient and local Nusselt number to demonstrate the relationship amongst heat transfer rate and physical parameters. Our results reveal that the magnetic field, unsteadiness, inclination angle of magnetic field and porosity parameters boost the graphene Maxwell nanofluid velocity while Maxwell parameter has a reversal impact on it. Finally, we have compared our numerical results with those of earlier published articles under the restricted conditions to validate our solution. The comparison of results shows an excellent conformity among the results.

Highlights

  • In recent years, the nanofluids problems are attracting noteworthy attention of researchers owing to promising significance in industry and public endeavour as nanofluids possess the noble heat transfer characteristics to boost the conventional fluid’s performance

  • The obtained numerical solution by means of the method reported in Section 3 is presented to illustrate the significance of influencing physical parameters such as magnetic parameter (M), porosity parameter (K1 ), inclination angle of magnetic field (γ), Maxwell parameter (β), unsteadiness parameter (A), thermal radiation parameter (Nr), Eckert number (Ec) and thermal slip parameter (ε) on the flow field

  • The reason behind this behaviour of graphene Maxwell nanofluid is that Eckert number relates the kinetic energy to enthalpy and the total work is done against viscosity where the kinetic energy is converted into internal energy

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Summary

Introduction

The nanofluids problems are attracting noteworthy attention of researchers owing to promising significance in industry and public endeavour as nanofluids possess the noble heat transfer characteristics to boost the conventional fluid’s performance. Addition of extremely fine non-metallic/metallic particles in the conventional fluid influences the fluid characteristics like heat transfer rate and thermal conductivity [2]. Owing to fast mobility of electrons, high thermal conductivity, stability, cell growth capability, expanded surface area and biocompatibility certainties the graphene nanoparticles possess the novel material, physical, electrical and chemical characteristics [5] It has extensive applications including but not restricted to electronics, energy sector, sensing outlets, medical sciences, etc. The viscous dissipation impact is not considered in above described studies as the same is supposed to be low but its relevance in food processing, instrumentations, lubrications, polymer manufacturing, etc., is noteworthy as it enhances the characteristics of temperature distribution and induce the heat transfer rate. Of research careful of research papers reported literature that none of the authors has attempted papers review reported in literature reveals thatinnone of thereveals authors has attempted this problem earlier this problem the thoughts, methodology and explained in this in paper can be the earlier thoughts, methodology and results explained in results this paper can be useful electronics, useful electronics, sensingsciences, outlets and energyinsector, sensingenergy outletssector, and medical etc.medical sciences, etc

Formulation
Physical
Numerical Solution of Problem
Implementation of Numerical Method
Validation of Numerical Solution
Results and Discussion
Temperature
Multiple Regression Analysis
Conclusions
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