Impact of Viscous Dissipation on MHD Darcy-Forchheimer Nanoliquid Flow Comprising Gyrotactic Microorganisms Past a Nonlinear Extending Surface

Document Type : Article


1 Center for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University, Multan, Pakistan.

2 Department of Mathematics, COMSATS University (Islamabad), Sahiwal 57000, Pakistan

3 Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan

4 Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin Zakariya University Multan 60000, Pakistan.

5 Department of Basic Science and Humanities, Muhammad Nawaz Sharif University of Engineering & Technology, Multan 60000, Pakistan.


In the current article, MHD flow problem of Darcy-Forchheimer nanoliquid comprising motile microorganisms with viscous dissipation impact past a nonlinear elongated sheet is addressed. The inclusion of gyrotactic microorganisms in nanoliquid assists to boost up the thermal efficiency in numerous micro-biological systems. Iterative solution of the single-phase flow problem is attained by utilizing the procedure of SOR (Successive over Relaxation). The influences of leading parameters on flow velocity, temperature, density and concentration of motile microbes are considered and depicted through tables and graphs by employing software of MATLAB. Furthermore, comparison table is developed to check the accuracy of numerical results of the flow problem under consideration. An increment in the Forchheimer parameter causes reduction in the velocity distribution. It is portrayed that the Lewis number and Brownian motion parameter tend to enhance the rate of mass transport.