Soret--Dufour impacts on inclined magnetic Casson fluid flow

S. Parvin¹ - S. S. P. M. Isa^1,2 - N. M. Arifin^1,3 - F. M. Ali^1,3

¹ Institute for Mathematical Research, University Putra Malaysia, ] 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
² Centre of Foundation Studies for Agricultural Science, University Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia
³ Department of Mathematics, University Putra Malaysia, 43400 UPM Serdang, Selangor Darul Ehsan, Malaysia

Abstract
In industrial processes such as the paper production, reservoir engineering and thermal retrieval process, combined Soret and Dufour effects are involved. Also, the Soret-Dufour effect has been used in the chemical industry for detachment, purification, and radioactive nuclear waste material. Therefore, a mathematical model of Soret-Dufour effects in a Casson fluid flow caused by a shrinking sheet is presented in this paper. This model is subjected to an inclined magnetic field, along with the exponential variations of the variables at the sheet, i.e. velocity, temperature, and concentration. Ordinary differential equations for momentum, energy, and concentration are solved numerically using the bvp4c MATLAB program. At the end of the calculations, the profiles of velocity, temperature and concentration are displayed. In addition, the skin friction coefficient, the local Nusselt number and the local Sherwood number are also considered. Numerical results of velocity, temperature, and concentration profiles, together with the skin friction coefficient, local Nusselt number and local Sherwood number are shown in the form of tables and graphs. The numerical results show that the skin friction coefficient and the local Sherwood number decrease, whereas the temperature profile and the local Nusselt number for the first solution increase with the increment of the Soret number. Velocity and concentration profiles decrease with the increment of the Dufour number. Tables 2, Figs 8, Refs 34.