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

Author:

Kolsi Lioua1ORCID,Khan Sami Ullah2ORCID,Benabdallah Faiza3,Al‐Khaled Kamel4,Ghachem Kaouther3,Albalawi Hind5

Affiliation:

1. Department of Mechanical Engineering, College of Engineering University of Hail Hail Saudi Arabia

2. Department of Mathematics Namal University Mianwali Pakistan

3. Department of Industrial Engineering and Systems, College of Engineering Princess Nourah bint Abdulrahman University Riyadh Saudi Arabia

4. Department of Mathematics & Statistics Jordan University of Science and Technology Irbid Jordan

5. Department of Physics, College of Sciences Princess Nourah bint Abdulrahman University Riyadh Saudi Arabia

Abstract

AbstractThe 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.

Funder

Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University

Publisher

Wiley

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