Open AccessOpen Access


Impact of Artificial Compressibility on the Numerical Solution of Incompressible Nanofluid Flow

Tohid Adibi1, Shams Forruque Ahmed2,*, Seyed Esmail Razavi3, Omid Adibi4, Irfan Anjum Badruddin5, Syed Javed5

1 Department of Mechanical Engineering, University of Bonab, Bonab, Iran
2 Science and Math Program, Asian University for Women, Chattogram, 4000, Bangladesh
3 School of Mechanical Engineering, University of Tabriz, Tabriz, Iran
4 Energy Management Group, Energy and Environment Research Center, Niroo Research Institute, Tehran, Iran
5 Mechanical Engineering Department, College of Engineering, King Khalid University, Abha, 61421, Saudi Arabia

* Corresponding Author: Shams Forruque Ahmed. Email:

Computers, Materials & Continua 2023, 74(3), 5123-5139.


The numerical solution of compressible flows has become more prevalent than that of incompressible flows. With the help of the artificial compressibility approach, incompressible flows can be solved numerically using the same methods as compressible ones. The artificial compressibility scheme is thus widely used to numerically solve incompressible Navier-Stokes equations. Any numerical method highly depends on its accuracy and speed of convergence. Although the artificial compressibility approach is utilized in several numerical simulations, the effect of the compressibility factor on the accuracy of results and convergence speed has not been investigated for nanofluid flows in previous studies. Therefore, this paper assesses the effect of this factor on the convergence speed and accuracy of results for various types of thermo-flow. To improve the stability and convergence speed of time discretizations, the fifth-order Runge-Kutta method is applied. A computer program has been written in FORTRAN to solve the discretized equations in different Reynolds and Grashof numbers for various grids. The results demonstrate that the artificial compressibility factor has a noticeable effect on the accuracy and convergence rate of the simulation. The optimum artificial compressibility is found to be between 1 and 5. These findings can be utilized to enhance the performance of commercial numerical simulation tools, including ANSYS and COMSOL.


Cite This Article

T. Adibi, S. F. Ahmed, S. E. Razavi, O. Adibi, I. A. Badruddin et al., "Impact of artificial compressibility on the numerical solution of incompressible nanofluid flow," Computers, Materials & Continua, vol. 74, no.3, pp. 5123–5139, 2023.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 540


  • 261


  • 0


Share Link