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Heat transport of radiative ternary hybrid nanofluid over a convective stretching sheet with induced magnetic field and heat source/sink

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Abstract

The current article deals with a novel idea of a suspension of spherical silver \(\left( {{\text{Ag}}} \right)\), cylindrical aluminium oxide \(\left( {{\text{Al}}_{{2}} {\text{O}}_{{3}} } \right)\) and platelet aluminium \(\left( {{\text{Al}}} \right)\) nanoparticles in water–ethylene glycol as a conducting fluid through a convective stretching surface. The effects of induced magnetic field, heat sink or source, thermal radiation and slip condition aspect are also incorporated during ternary hybrid nanofluid flow. The significance of the current investigation lies in enhancing heat transfer efficiencies, high-temperature processes, electronic devices where heat is generated or cooling systems and metal casting. The numerical solutions of nonlinear ordinary differential are obtained by employing a finite difference approach via the bvp4c solver (MATLAB package). The obtained results pointed out that the spherical silver nanoparticles provide a higher rate of heat transfer followed by cylindrical alumina nanoparticles and platelet aluminium nanoparticles, respectively. Moreover, the velocity profile and induced magnetic profile decrease with increasing volume fraction of spherical \({\text{Ag}}\) nanoparticles, cylindrical \({\text{Al}}_{{2}} {\text{O}}_{{3}}\) alumina nanoparticles, platelet \(\text{Al}\) nanoparticles and induced magnetic parameter. The ternary hybrid nanofluid's heat transfer rate is greatly increased by larger values of the radiative parameter, Biot number and slip parameter. Additionally, the temperature profile is improved when the heat source parameter grows while the heat sink parameter decreases.

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Abbreviations

\(u,v\) :

Velocity component (\({\text{ms}}^{-1})\)

\(a\& c\) :

Stretching rate (\({\text{s}}^{-1})\)

\(T\) :

Temperature of the fluid (K)

\(T_{{\text{w}}}\) :

Temperature at the wall

\(T_{\infty }\) :

Ambient temperature of the fluid

\(M_{0}\) :

Magnetic per unit length (\({\text{Tm}}^{-1})\)

\(\mu_{{\text{e}}}\) :

Magnetic permeability (\({\text{Hm}}^{-1})\)

\(\pi\) :

Magnetic flux density-related coefficient (\({\text{H}}\left( {{\text{sT}}} \right)^{2} \;{\text{kg}}^{-1})\)

\(\alpha_{{\text{m}}}\) :

Magnetic diffusivity (\({\text{m}}^{2} {\text{s}}^{-1})\)

\(\alpha_{{\text{f}}}\) :

Thermal diffusivity (\({\text{m}}^{2} {\text{s}}^{-1})\)

\(Q_{0}\) :

Volumetric heat source/sink coefficient

\(C_{{\text{p}}}\) :

Specific heat at constant temperature (\({\text{JK}}^{-1} {\text{kg}}^{ - 1})\)

\(\left( {\rho C_{{\text{p}}} } \right)\) :

Heat capacity

\(h_{{\text{f}}}\) :

Heat transfer coefficient (\({\text{Wm}}^{-2} {\text{ K}}^{ - 1})\)

\(\mu\) :

Dynamic viscosity (\({\text{kgm}}^{-1} {\text{ s}}^{ - 1})\)

\(\upsilon\) :

Kinematic viscosity (\({\text{m}}^{2} {\text{s}}^{-1})\)

\(\rho\) :

Density (\({\text{kgm}}^{-3})\)

\(\kappa\) :

Thermal conductivity (\({\text{Wm}}^{-1} {\text{ K}}^{ - 1})\)

\(\eta\) :

Dimensionless distance

\(f\) :

Dimensionless transverse velocity

\(g\) :

Dimensionless-induced magnetic field transverse velocity

\(\theta\) :

Dimensionless temperature

\(f^{\prime} = \frac{\partial f}{{\partial \eta }}\) :

Dimensionless main velocity

\(f^{{\prime\prime}} = \frac{{\partial^{2} f}}{{\partial \eta^{2} }}\) :

Dimensionless shear stress

\(g^{\prime} = \frac{\partial g}{{\partial \eta }}\) :

Dimensionless-induced magnetic field along main velocity

\(\text{f}\) :

Base fluid

\(\text{nf1}, \, \text{nf2}, \, \text{nf3}\) :

Nanoparticles

\(\text{Thnf}\) :

Ternary hybrid nanofluid

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, Jote, 791113, India

    Ram Prakash Sharma

  2. Department of Basic and Applied Science, National Institute of Technology Arunachal Pradesh, Jote, 791113, India

    Kirnu Badak

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Sharma, R.P., Badak, K. Heat transport of radiative ternary hybrid nanofluid over a convective stretching sheet with induced magnetic field and heat source/sink. J Therm Anal Calorim (2024). https://doi.org/10.1007/s10973-024-12979-y

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