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Quadratic convective transport of dusty Casson and dusty Carreau fluids past a stretched surface with nonlinear thermal radiation, convective condition and non-uniform heat source/sink

Author

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  • Mahanthesh, B.
  • Animasaun, I.L.
  • Rahimi-Gorji, Mohammad
  • Alarifi, Ibrahim M.

Abstract

Here, the nonlinear convective transport of non-Newtonian fluids embedded with dust particles over a stretched surface is investigated. The silent features of non-Newtonian fluid are considered by Casson and Carreau fluid models. The heat transfer mechanism involves the influences of a magnetic dipole, nonlinear radiative heat and non-uniform heat source/sink. The convective condition is also retained at the boundary. The non-linear partial differential equations that model the transport phenomenon was transformed, non-dimensionalized and parameterized. The subsequent boundary value problems were computed numerically for distinct pertinent parameters using Runge–Kutta based shooting techniques. The present results are validated with the existing literature by direct comparison. The heat transfer rate in Casson/Carreau fluid phase is significantly higher than that of dust phase.

Suggested Citation

  • Mahanthesh, B. & Animasaun, I.L. & Rahimi-Gorji, Mohammad & Alarifi, Ibrahim M., 2019. "Quadratic convective transport of dusty Casson and dusty Carreau fluids past a stretched surface with nonlinear thermal radiation, convective condition and non-uniform heat source/sink," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    • Handle: RePEc:eee:phsmap:v:535:y:2019:i:c:s0378437119314190
    DOI: 10.1016/j.physa.2019.122471
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    References listed on IDEAS

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    1. Siddiqa, Sadia & Begum, Naheed & Hossain, Md. Anwar, 2017. "Compressible dusty gas along a vertical wavy surface," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 600-610.
    2. Hossain, Md. Anwar & Roy, Nepal C. & Siddiqa, Sadia, 2017. "Unsteady mixed convection dusty fluid flow past a vertical wedge due to small fluctuation in free stream and surface temperature," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 480-492.
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    Cited by:

    1. Saleem, Musharafa & Chaudhry, Qasim Ali & Almatroud, A. Othman, 2021. "One-parameter lie scaling study of carreau fluid flow with thermal radiation effects," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    2. I.L., Animasaun & B., Mahanthesh & G., Sarojamma & J.S., Damisa, 2020. "Significance of thickness of paraboloid of revolution and buoyancy forces on the dynamics of Erying–Powell fluid subject to equal diffusivity kind of quartic autocatalysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).

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