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Crosswise Radiative Convective Transport of Viscoplastic Type Nanofluid with Influence of Lorentz Force and Viscosity Variation

  • Research Article-Mechanical Engineering
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Abstract

Flow of rheological fluids often obeys stagnation flow dynamics in a number of modern-day manufacturing processes. Such flows not only invoke radiative heat transfer under high temperature but also exhibit considerable viscosity variation with temperature. Motivated by such fascinating facts, the present study is an effort to explore steady, two-dimensional crosswise transport of Casson fluid past a surface. A temperature-dependent viscosity model is incorporated along with magnetohydrodynamic effects. The conservation equations for mass, normal and tangential momentum and energy are normalized with the help of similarity transformations that are solved afterwards numerically using efficient Runge–Kutta–Fehlberg scheme with shooting quadrature in MATLAB symbolic software. Comparison with the existing published literature is also presented to validate the solutions. Results of velocity, temperature, skin friction and heat flux are presented graphically and discussed in a physical manner. Graphical outcomes indicated that normal velocity profile declined rapidly with magnetic field strength, whereas thermal radiation enhanced the temperature distribution in the fluid flow. This trend revealed that thermal performance of viscoplastic fluid flow improved when radiation effects are incorporated. It is also noted that heat transfer rate at the stretching surface dropped with radiation parameter. Normal skin friction is observed to be significantly reduced, while tangential skin friction enhances with stronger magnetic field effects.

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Abbreviations

\({\mu }_{0}\) :

Reference viscosity \(\left( {{\text{kg}}.{\text{m}}^{{ - 1}} .{\text{s}}^{{ - 1}} } \right)\)

\({\overline{x} }^{*}\) :

Coordinate along the stretching surface \(\left(\text{m}\right)\)

\(\nu\) :

Kinematics viscosity \(\left({\text{m}}^{2}{.}^{-1}\right)\)

\({\overline{y} }^{*}\) :

Coordinate normal to the stretching surface \(\left(\text{m}\right)\)

\(M\) :

Magnetic parameter

\({\overline{u} }^{*}\) :

Velocity component in the \({x}^{*}\) direction \(\left(\text{m}.{s}^{-1}\right)\)

\(\beta\) :

Casson fluid parameter

\({\overline{v} }^{*}\) :

Velocity component in the \({y}^{*}\) direction \(\left(\text{m}.\text{s}^{-1}\right)\)

\(Bi\) :

Biot number

\({\overline{\text{p}} }^{*}\) :

Pressure \(\left(\text{N}.\text{m}^{-2}\right)\)

\(m\) :

Variable viscosity parameter

\({\overline{T} }^{*}\) :

Temperature of the fluid \(\left(\text{K}\right)\)

\(\gamma =\frac{b}{c}\) :

Flow obliqueness parameter

\(\bar{\kappa }^{*}\) :

Thermal conductivity (W.m−1 K−1)

\(\lambda\) :

Mixed convection parameter

\(\overline{\rho }\) :

Density of the fluid \(\left(\text{kg}. \text{m}^{-3}\right)\)

\(Rd\) :

Radiation parameter

\(Pr\) :

Prandtl number

\(B=\frac{a}{c}\) :

Stretching ratio parameter

\(Sc\) :

Schmidt number

\(Nt, Nb\) :

Thermophoresis brownian motion parameter

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Acknowledgements

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Basic and Applied Sciences, Air University, Islamabad, Pakistan

    Rabil Tabassum

  2. Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Pakistan

    R. Mehmood

  3. Department of Mathematics, College of Science, King Khalid University, Abha, 6141, Saudi Arabia

    M. Y. Malik

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  1. Rabil Tabassum
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Tabassum, R., Mehmood, R. & Malik, M.Y. Crosswise Radiative Convective Transport of Viscoplastic Type Nanofluid with Influence of Lorentz Force and Viscosity Variation. Arab J Sci Eng 47, 16319–16330 (2022). https://doi.org/10.1007/s13369-022-06893-4

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