Thermophoretic convection in porous atmosphere due to boosting temperature of plume: Climate change effects

A computational analysis of the impacts of thermophoretic convective heat transfer on climate change within a saturated porous atmosphere is predicted. A mathematical model is developed for the proposed problem, employing a Cartesian coordinate system for the source region, a cylindrical coordinate system for the plume region, and a spherical coordinate system for the atmospheric region. The temperature along the central axis of the plume is assumed to be variable, as is the surface temperature of the source region. In the source region, fossil fuel combustion releases thermophoretic particles that travel through the plume into the atmosphere. The climate impact of these particles is calculated via temperature difference across each region. Numerical simulations are performed to gain insights into the physical implications of the model, using the finite difference method to discretise and solve the governing partial differential equations. The effect of various parameters in the flow model, such as mixed convection parameter λ T , modified mixed convection parameter λ C , Schmidt number Sc, variable viscosity parameter γ , variable thermal conductivity parameter ε , porosity parameter Ω A thermophoretic parameter N t and indexes of variable surface temperature, are analysed and presented graphically and in tabular form. The primary findings show that an increase in the porosity parameter Ω A results in increase in velocity and temperature profile, while the thermophoretic concentration decreases, potentially moderating climate impact. Further, the thermophoretic rate of heat transfer is maximum at α = 1.5 rad and minimum at α = π rad in the saturated porous atmosphere. The fundamental innovation of the current work is that three models from three regions are linked via trans-boundaries in terms of temperature differences. The accuracy of the obtained results is ensured by the prescribed boundary conditions and is highlighted graphically as well as in tabular form.