Abstract
The magnetohydrodynamic (MHD) mixed convection flow past a shrinking vertical sheet with thermal radiation is considered. Besides, the effects of Cu-Al2O3 nanoparticles and dust particles are considered. The similarity variables reduce the governing equations to the similarity equations, which are then solved numerically. The outcome shows that, for the shrinking case, the solutions are not unique. The rate of heat transfer and the friction factor enlarge with increasing the values of the copper nanoparticle volume fraction as well as the magnetic parameter. Meanwhile, the assisting flow and the rise of the thermal radiation reduce these quantities. Two solutions are found, and the boundary layer separation is dependent on the mixed convection parameter.
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The authors would like to thank Universiti Teknikal Malaysia Melaka and Universiti Kebangsaan Malaysia (No. DIP-2020-001) for funds.
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Citation: WAINI, I., ISHAK, A., and POP, I. Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation. Applied Mathematics and Mechanics (English Edition), 43(1), 12–-140 (2022) https://doi.org/10.1007/s10483-022-2807-8
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Waini, I., Ishak, A. & Pop, I. Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation. Appl. Math. Mech.-Engl. Ed. 43, 127–140 (2022). https://doi.org/10.1007/s10483-022-2807-8
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DOI: https://doi.org/10.1007/s10483-022-2807-8
Key words
- dusty fluid
- hybrid nanofluid
- magnetohydrodynamic (MHD)
- mixed convection
- shrinking sheet
- thermal radiation
- dual solution