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The Impact of Thermal Radiation on Mixed Convective Unsteady Nanofluid Flow in a Revolving Vertical Cone

Shweta Mishra, Hiranmoy Mondal, Ramandeep Behl () and Mehdi Salimi
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Shweta Mishra: Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Kolkata 713212, West Bengal, India
Hiranmoy Mondal: Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Kolkata 713212, West Bengal, India
Ramandeep Behl: Mathematical Modelling and Applied Computation Research Group (MMAC), Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Mehdi Salimi: Decisions Lab, DiGiES, Mediterranea University of Reggio Calabria, 89125 Reggio Calabria, Italy

Mathematics, 2024, vol. 12, issue 2, 1-14

Abstract: This study investigates the effects of an unsteady mixed convection nanofluid flow in a rotating vertical cone submerged in spinning nanofluid. Our analysis considered the impacts of heat flux, chemical reactions, and thermal radiation, with the thermal and concentration Biot numbers serving as constraints at the boundary. The governing unsteady and coupled partial differential equations were solved through appropriate similarity transformations, addressing the nonlinear terms inherent in these equations. The spectral quasi-linearisation method (SQLM) was employed to solve the higher-order nonlinear differential equations. This study elucidates and assesses the impact of diverse physical constraints and parameters through the use of graphical representations. Notably, the temperature distribution of the liquefied substance was intensified as the thermal and solutal Biot numbers increased.

Keywords: unsteady mixed convection; chemical reaction; heat flux; vertical cone; thermal radiation; Biot numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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