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Exploring the role of inclined magnetic field in water-based hybrid nanofluid flow containing copper and alumina nanoparticles over a convectively heated surface: a numerical investigation

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Abstract

In this analysis, a numerical investigation of hybrid nanofluid flow composed of copper and alumina nanoparticles over an extending sheet is deliberated. The sheet surface is assumed to be heated by considering the convective condition, and there is no mass flow at the sheet surface by assuming the zero flux of mass constraints. The modeled ordinary differential equations, which are obtained by transforming the partial differential equations using suitable similarity variables, are evaluated numerically by adopting the bvp4c scheme. The main theme of this analysis is to investigate the applications of an inclined magnetic field toward the hybrid nanofluid flow over a convectively heated surface. The results obtained from this analysis show that the dragging force at the sheet’s surface has been greatly increased by the magnetic factor and angle of inclination. Additionally, the angle of inclination greatly influenced the heat transfer rate, temperature, and concentration distributions when α = 900 as compared to α < 900.

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No datasets were generated or analyzed during the current study. All data used in this manuscript have been presented within the article.

Abbreviations

\(u,v\) :

Components of velocity \(\left[ {{\text{m}}.{\text{s}}^{ - 1} } \right]\)

\(x,y\) :

Coordinates \(\left[ {\text{m}} \right]\)

\(a\) :

Constant []

\(B_{0}\) :

Magnetic field strength \(\left[ {{\text{kg}/\text{s}}^{2} {.\text{A}}} \right]\)

\(\alpha\) :

Angle of inclination \(\left[ {^{0} } \right]\)

\(h_{f}\) :

Thermal flow coefficient \(\left[ {{\text{W}/\text{m}}^{2} {.\text{K}}} \right]\)

\(T\) :

Temperature \(\left[ {\text{K}} \right]\)

\(\rho\) :

Density \(\left[ {{\text{kg}/\text{m}}^{3} } \right]\)

\(C\) :

Concentration \(\left[ {\text{mol}/\text{m}} \right]\)

\(\mu\) :

Dynamic viscosity \(\left[ {{\text{kg}/\text{s}}{.\text{m}}} \right]\)

\(k\) :

Thermal conductivity \(\left[ {{\text{W}/\text{m}}{.\text{K}}} \right]\)

\(C_{p}\) :

Specific heat \(\left[ {{\text{J}/\text{kg}}{.\text{K}}} \right]\)

\(\sigma\) :

Electrical conductivity \(\left[ {\text{S}/\text{m}} \right]\)

\(D_{B}\), \(D_{T}\) :

Coefficients of Brownian motion thermophoresis diffusions \(\left[ {{\text{m}}^{2}/{\text{s}}} \right]\)

\(s1\) :

Cu nanoparticle []

\(s2\) :

Al2O3 nanoparticle []

\(\varphi_{1}\), \(\varphi_{2}\) :

Volume fractions of \(s1\), \(s2\) []

\(\nu\) :

Kinematic viscosity \(\left[ {{\text{m}}^{2} {.\text{s}}^{ - 1} } \right]\)

\(\eta\) :

Similarity variable []

\(f\), \(\theta\), \(\phi\) :

Dimensionless velocity, temperature, concentration distributions []

\(M\) :

Magnetic factor []

\(Nt\) :

Thermophoresis factor []

\(Nb\) :

Brownian motion factor []

\(Ec\), \(\Pr\) :

Eckert, Prandtl numbers []

\(Sc\) :

Schmidt number []

\(\tau_{wx}\) :

Shear stress \(\left[ {{\text{Pa}}} \right]\)

\(q_{w}\) :

Heat flux \(\left[ {{\text{W}}{.\text{m}}^{ - 2} } \right]\)

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Authors and Affiliations

  1. Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, 11673, Riyadh, Jeddah-M, Saudi Arabia

    Showkat Ahmad Lone

  2. Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia

    Ali M. Mahnashi & Waleed Hamali

  3. College of Engineering, Al Ain University, Al Ain, United Arab Emirates

    Hussam Alrabaiah

  4. Mathematics Department, Tafila Technical University, Tafila, Jordan

    Hussam Alrabaiah

  5. Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan

    Anwar Saeed

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  1. Showkat Ahmad Lone
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Lone, S.A., Mahnashi, A.M., Hamali, W. et al. Exploring the role of inclined magnetic field in water-based hybrid nanofluid flow containing copper and alumina nanoparticles over a convectively heated surface: a numerical investigation. Colloid Polym Sci (2024). https://doi.org/10.1007/s00396-024-05259-6

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