Abstract
The problem of thermal diffusion and diffusion thermo effects on thermosolutal Marangoni convection flow of an electrically conducting fluid over a permeable surface is investigated. Using appropriate similarity transformations, the governing system of partial differential equation is transformed to a set of nonlinear ordinary differential equations, then solved numerically using the Runge‐Kutta‐Fehlberg method. The effects of thermal diffusion and diffusion thermo, magnetic field parameter, thermosolutal surface tension ratio, and suction/injection parameter on the flow field, heat transfer characteristic, and concentration are thoroughly examined. Numerical results are obtained for temperature and concentration profiles as well as the local Nusselt and Sherwood numbers are presented graphically and analyzed. It is found that these governing parameters affect the variations of the temperature and concentration and also the local Nusselt and Sherwood numbers.
Highlights
The study of Marangoni convection has received great consideration in recent years in view of its application in industries
The influences of the magnetic field parameter M, the suction/injection parameter f0, the thermosolutal surface tension ratio r, the combined Dufour number Df and Soret number Sr on the velocity, temperature and concentration, and the Nusselt and Sherwood numbers are presented in tables and some graphs
The governing partial differential equations associated with the boundary conditions were transformed into nonlinear ordinary differential equations before being solved using the Runge-Kutta-Fehlberg method
Summary
The study of Marangoni convection has received great consideration in recent years in view of its application in industries. Marangoni convection is predictable to be very useful in wide area especially in crystal growth melts and semiconductor processing. The Marangoni boundary layer term was first initiated by Napolitano 1, 2 when studied the existence of the steady dissipative layers which occur along the liquid-liquid or liquid-gas interfaces. A lot of analyses in Marangoni convection have been discovered in various geometries and conditions. Some of experimental works linked to Marangoni convection were discussed in several papers by Arafune and Hirata 3 , Arafune et al 4 , Galazka and Wilke 5 , Neumann et al 6 , Arendt and Eggers 7 , and Xu et al 8
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
