In this research, the radially increasing axisymmetric discharge of an electrically conducting fluid across a surface is accurately evaluated mathematically using the influence of Soret number. The surface is extended at an exponential speed in a radial direction, which causes flow trends. New similarity transformations are discussed in order to transform the governing, transform nonlinear partial differential equations into standard derivatives. The Successive Linearization Method is used to perform mathematical analysis for flow performing. The Chebyshev spectral technique is utilized to resolve the linear system in order to provide accurate solutions that converge effectively to the whole numerical solution. Comparisons with earlier research are conducted to evaluate the validity of the results on the distribution of velocity, temperature and concentration. Verify convergence and accuracy of the solution, the impacts of a few fluid factors are identified and explained.

The study aims to quantify the effect of Dufour number, on flow patterns and heat transfer rates in the exponentially accelerated vertical plate with MHD flow and chemical reaction. The unsteadiness of the flow suggests that time-dependent changes in velocity, temperature, and other relevant parameters are considered. MHD further complicates analysis with the electromagnetic interactions between the fluid and the field. The fluid, be characterized as a gray, absorbing/emitting radiation medium, indicating that it absorbs and emits thermal radiation but does not exhibit scattering behavior. Set of partial differential equations are then resolve using FEM. Graphical results are then discussed. Profiles vary with different, Dufour number, radiation, or temperature-dependent heat source/sink parameter. By varying the values of these governing parameters, on the skin-friction coefficient, Nusselt number, and Sherwood number are also analyzed.