Theoretical aspects of micropolar nanofluid flow past a deformable rotating cone


Saleem A. Sabih W. Nadeem S. Ghalambaz M. Issakhov A.
April 2026John Wiley and Sons Ltd

Mathematical Methods in the Applied Sciences
2026#49Issue 65455 - 5473 pp.

The intension of this investigation is to analyze the laminar boundary layer flow of micropolar nanofluid inside a deformable rotating cone. A comparison is carried out between three types of nanofluids with nanoparticles, that is, metal (Cu), metallic oxide (Al2O3), and a semiconductor (TiO2) with water as base fluid. Brinkman and Maxwells model of effective dynamic viscosity and thermal conductivity is considered. Using suitable similarity transformations, the governing coupled non-linear boundary layer partial differential equations are reduced to non-linear ordinary differential equations, which are further solved numerically by bvp4c technique. The results obtained reveal interesting effects of important pertinent parameters, that is, rotation parameter ω, nanoparticle concentration parameter φ, and micropolar parameter Δ on velocity, microrotation, and temperature profiles, which are analyzed graphically. A comparative analysis of the results of numerically calculated skin friction coefficients and Nusselt number for these parameters are also presented. The problem throughout the whole study is analyzed for both the strong and weak concentration of micro-elements. It is found that the ω and Δ enhance the flow and ω, φ, and Δ boosts the rate of heat transfer in all cases of stretching/shrinking rotating cone except for the case of shrinking rotating cone in which the growth of Δ declines the rate of heat transfer for strong/weak concentration of microelements. Moreover, Cu–water has the highest skin friction and Nusselt number.

micropolar fluid , nanofluid , rotating cone , stretching/shrinking surface

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Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan
Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam
Faculty of Electrical – Electronic Engineering, Duy Tan University, Da Nang, 550000, Viet Nam
Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, av. al-Farabi 71, Almaty, 050040, Kazakhstan

Mathematics and its Applications in Life Sciences Research Group
Faculty of Mathematics and Statistics
Department of Mathematics
Institute of Research and Development
Faculty of Electrical – Electronic Engineering
Faculty of Mechanics and Mathematics

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