Transport mechanism in chemically reactive hybrid nanofluid flow containing gyrotactic micro-organisms over a curved oscillatory surface

• Published in: Applied mathematics and mechanics Vol. 46; no. 1; pp. 177 - 192
• Main Authors: Naveed, M., Imran, M., Asghar, T., Abbas, Z.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2025; Springer Nature B.V
• Edition: English ed.
• Subjects: Applications of Mathematics; Chemical reactions; Classical Mechanics; Exact solutions; Flow equations; Fluid flow; Fluid- and Aerodynamics; Heat transfer; Homotopy theory; Mass transfer; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Microorganisms; Nanofluids; Parameters; Partial Differential Equations; Peclet number; Physical properties; Pressure effects; Radius of curvature; Schmidt number; Skin friction; Spherical coordinates; Transport phenomena; O368; gyrotactic microorganism; Cattaneo-Christov heat and mass flux; chemical reaction; analytical solution; 82A20; 74N15; hybrid nanofluid; oscillating curved stretchable sheet
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-025-3208-7

This paper examines the transport analysis, including both heat transfer and mass transfer, in hybrid nanofluid flow containing gyrotactic microorganisms towards a curved oscillatory surface. The influence of magnetic fields is also inspected in terms of their physical characteristics. To depict the phenomena of transport, modified versions of both Fick’s and Fourier’s laws are used. Additionally, the characteristics of both heterogeneous and homogeneous chemical reactions are also incorporated. Utilizing a curvilinear coordinate system, the flow problem is formulated as partial differential equations (PDEs) for momentum, concentration, microorganism field, and energy. An analytical solution to the obtained flow equations is achieved utilizing the homotopy analysis method (HAM). The effects of significant flow parameters on the pressure and microorganism fields, velocity, oscillation velocity, concentration, and temperature distributions are shown via graphs. Furthermore, the variations in skin friction, mass transfer rate, heat transfer rate, and local motile number due to different involved parameters are presented in tables and are analyzed in detail. Graphical results indicate that the curves of velocity and temperature fields are enhanced as the values of the solid volume fraction variables increase. It is also verified that the concentration rate field decreases as the values of the homogeneous reaction strength parameter and the radius of curvature parameter increase, and it increases with the Schmidt number and the heterogeneous reaction strength parameter. Tabular outcomes show a favorable response of the motile number to advanced values of the Peclet number, the Schmidt number, the microorganism difference parameter, and the bio-convective Lewis number.