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Effect of melting heat transfer on electromagnetohydrodynamic non-newtonian nanofluid flow over a riga plate with chemical reaction and arrhenius activation energy

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Abstract

This article deals with the electromagnetohydrodynamic Casson Nanofluid flow induced by a stretching Riga plate in a non-Darcian porous medium under the influence of internal energy change, Arrhenius activation energy, chemical reaction and Melting heat transfer. The flow motion is induced as a result of the introduced mechanism that capable of controlling or assisting a weakly hydromagnetic fluid flow process called the Riga plate. In most of the literature, the thermophysical properties of the fluid are assumed to be constant. However, this present study bridges this gap by assuming that viscosity, conductivity and diffusivity are all temperature dependent. Also, the exponential decaying Grinberg term is used as a resistive force in this investigation due to the electromagnetic properties of the Riga plate in the momentum conservation equation. The resulting coupled nonlinear ordinary differential equations are solved by optimal homotopy analysis method (OHAM) and validated with Galerkin weighted residual method (GWRM). Analyses reveal that the Casson fluid exhibits a solid characteristic when yield stress is more than the shear stress. The thermal profile raised with an increase in melting and Casson parameter. Also, also the chemical reaction parameter reduces the nanoparticle volume fraction. Moreover, this article includes some future recommendations. These results will assist the engineers in designing applications that require high heat and mass transfer rates.

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Data Availability Statement

All the data generated and materials during this study are included in this research article. This manuscript has associated data in a data repository. [Authors’ comment: All data used in this manuscript can be obtained on request from the corresponding author.]

Abbreviations

\(u, v\) :

Velocity in x and y directions

\( D_{{B\infty }} \) :

Constant Brownian diffusion coefficient

\(\mu_{\infty }\) :

Constant viscosity

\(\varepsilon_{1} ,\varepsilon_{3} ,\varepsilon_{5}\) :

Positive constants

\(\rho_{\infty }\) :

Density of the base fluid

\(\epsilon_{2}\) :

Variable viscosity parameter

\(\beta\) :

Casson parameter

\(\epsilon_{4}\) :

Variable thermal conductivity parameter

\(k\left( T \right)\) :

Variable thermal conductivity

\(\epsilon_{6}\) :

Variable mass diffusivity parameter

\(\mu \left( T \right)\) :

Variable viscosity

\(T_{m} , T_{0}\) :

Solid surface temperature

\(D_{B} \left( C \right)\) :

Variable mass diffusivity

\(T_{\infty }\) :

Ambient temperature

\(D_{T}\) :

Thermophoretic diffusion coefficient

\(T\) :

Nanofluid temperature

\(c_{p}\) :

Specific heat at constant pressure

\(C_{w}\) :

Wall nanoparticle volume fraction

\(k_{\infty }\) :

Constant nanofluid thermal conductivity

\(C_{\infty }\) :

Ambient nanoparticle volume fraction

\(c_{s}\) :

Specific heat of the solid surface

\(a\) :

Positive constant

\(J_{0}\) :

Current density

\(M\) :

Magnetization in magnets

\(\nu_{\infty }\) :

Constant kinematic viscosity

\(s\) :

Width of magnets and electrodes

\(\lambda\) :

Latent heat of diffusion

\(\alpha_{\infty }\) :

Constant thermal diffusivity

\(E\) and \(Kr\) :

Chemical reaction and activation energy

\(C\) :

Nanoparticle volume fraction

\(\left( {k_{p} } \right)_{o}\) :

Permeability coefficient

Pr:

Prandtl number

Nb:

Brownian motion parameter

Nt:

Thermophoresis parameter

Sc:

Schimdt number

Me:

Melting parameter

Ec:

Eckert number

Z:

Modified Hartman number

B:

Dimensionless parameter

Pp:

Porosity parameter

\( \epsilon_{2}\) :

Variable viscosity parameter

\( \epsilon_{4}\) :

Variable thermal conductivity parameter

\( \epsilon_{6}\) :

Variable mass diffusivity parameter

\(\tau\) :

Ratio of nanoparticle heat capacity to the fluid heat capacity

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Acknowledgements

The author appreciates the excellent research facilities provided by Kwara state university.

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No funding was received for conducting this study.

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Authors and Affiliations

  1. Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Kwara State, Nigeria

    Adebowale Martins Obalalu

  2. Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria

    Olusegun Adebayo Ajala, Akintayo Oladimej Akindele, Saheed Alao & Adepoju Okunloye

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  1. Adebowale Martins Obalalu
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Obalalu, A.M., Ajala, O.A., Akindele, A.O. et al. Effect of melting heat transfer on electromagnetohydrodynamic non-newtonian nanofluid flow over a riga plate with chemical reaction and arrhenius activation energy. Eur. Phys. J. Plus 136, 891 (2021). https://doi.org/10.1140/epjp/s13360-021-01869-z

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