Study of the time dependent MHD convective couple stress nanofluid flow across bidirectional periodically stretched frame using the homotopy analysis method

• Published in: Zeitschrift für angewandte Mathematik und Mechanik 2024-08, Vol.104 (8), p.n/a
• Main Authors: Kolsi, Lioua, Khan, Sami Ullah, Benabdallah, Faiza, Al‐Khaled, Kamel, Ghachem, Kaouther, Albalawi, Hind
• Format: Article
• Language: English
• Subjects: Activation analysis; Activation energy; Chemical reactions; Convective heat transfer; Dimensional analysis; Fluid flow; Homotopy theory; Magnetic effects; Nanofluids; Parameters; Skin friction; Thermal conductivity; Time dependence
• ISSN: 0044-2267; 1521-4001
• DOI: 10.1002/zamm.202400176

The current study presents a time dependent couple stress nanofluid flow across a bidirectional periodically stretched surface under magnetic effects. The effects of nonuniform heat source and variable thermal conductivity on the convective heat transfer are analyzed. The effect of the chemical reaction, nonlinear mixed convection, and activation energy are also considered. Adequate dimensional quantities are utilized to entertained the problem in simplified from. Then, a series of solutions are obtained via homotopic analysis method. Tables and graphs are organized to evaluates the physical dynamic of problem. The archived observations convey that the nonlinear convective parameters cause a rise in horizontal velocity component. It is determined that flow intensity and skin friction have an increasing behavior with most of the governing parameters. Current investigation emphasized that the temperature increases by imposing variable thermal conductivity. The concentration values become higher by increasing the activation energy but decrease with the reaction rate.