Free and Forced Convective Flow in Pleural Fluid with Effect of Injection between Different Permeable Regions

Free and Forced Convective Flow in Pleural Fluid with Effect of Injection between Different Permeable Regions Padmavathi Thiyagarajan Department of Mathematics, VISTAS, Vels University, Pallavaram 600117, India http://orcid.org/0000-0001-6073-0468 Senthamilselvi Sathiamoorthy Department of Mathematics, VISTAS, Vels University, Pallavaram 600117, India Shyam Sundar Santra Department of Mathematics, JIS College of Engineering, Kalyani 741235, India http://orcid.org/0000-0001-9740-3081 Rifaqat Ali Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 9004, Saudi Arabia Vediyappan Govindan Department of Mathematics, Phuket Rajabhat University, Phuket 83000, Thailand Samad Noeiaghdam Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, 664074 Irkutsk, Russia Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia http://orcid.org/0000-0002-2307-0891 Juan J. Nieto Instituto de Matematicas, CITMAga, Departamento de Estatistica, Analise Matematica e Optimizacion, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain http://orcid.org/0000-0001-8202-6578

Pleural effusion is an interruption of a pleural cavity in the lung wall. The lung and chest wall reversal process leads to pleural fluid aggregation in the pleural space. The parietal lymphatic expansion occurs because of increased pleural fluid. This model has been developed to obtain new results of respiratory tract infections, and also investigated the reaction of injection on an unstable free and forced convection flow of visceral pleural fluid transports in two different vertical porous regions. Finally, the model gives an impact of COVID-19 in the human respiratory tract, as it helps to anticipate early summary of establishing current pandemic infection. Results are computed analytically and plotted graphically for various physical parameters. The main highlights of this paper are mixed convection has been investigated mathematically in porous media, the effect of temperature and velocity field of pleural fluid was analyzed based on human lung mechanism, heat exchange associates with mucus layer and pleural fluid layer corresponding to thermal radiation and heat absorption, contribution of injection parameter over the region’s mucus and pleural phase, it has shown high sensitivity flow in diagnosis of COVID-19 due to pleural effusion.
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