Sharif University of TechnologyScientia Iranica1026-3098Articles in Press20230618On the solutal and thermal Marangoni convection arising in the self-rewetting fluid flow under hydromagnetic consideration2326310.24200/sci.2023.60381.6774ENVineet KumarChaurasiyaDepartment of Mathematics, NIT Jamshedpur, IndiaRajat TripathiDepartment of Mathematics
National Institute of Technology JamshedpurRamayan SinghDepartment of Mathematics, NIT Jamshedpur, India-831014Journal Article20220508In present research article, we address the magnetically controlled thermal and solutal Marangoni convection in the flow of self-rewetting power-law liquid over a disk, in the existence of space dependent heat source. The self re-wetting property of fluid is modelled by considering a quadratic dependence of surface tension on temperature and species concentration. The aforementioned problem is modelled by simplified Navier-Stokes equations. Identifying the appropriate transform variables is essential for developing ODEs (ordinary differential equations) from original PDEs (partial differential equations) that describe the flow conditions. The resulting ODEs are solved by using bvp4c routine of MATLAB and numerical solutions are presented via Graphs and tables, illustrating the impact of several factors on fluid velocity, temperature, concentration. Computation of the quantities of physical interest viz. Nusselt and Sherwood numbers are also done from those numerical solutions. One of the key finding of present research work is that the Marangoni convection works differently for pseudo--plastic fluid and dilatant fluid. On increasing thermal Marangoni convection the temperature of dilatant fluid reaches a peak value much closer to the disk than temperature of pseudo plastic fluid.https://scientiairanica.sharif.edu/article_23263_83891ed3a8988e0d68ed169189804310.pdf