Analysis of flow of visco-elastic nanofluid with third order slips flow condition, Cattaneo-Christov heat and mass diffusion model

Wubshet Ibrahim *, Alemu Dessale, Dachasa Gamachu

Department of Mathematics, Ambo University, Ambo, Ethiopia

Abstract: This communication reports, the flow of viscoelastic nanofluid with third order slip flow condition, Cattaneo-Christov heat and mass diffusion model. The joined non-linear ordinary differential equations (ODEs) were acquired from the partial differential equations, which are resulting from conservation of momentum, energy and species. By means of similarity transformations these ODEs were alerted into dimensionless form and solved numerically by means of bvp4c solver. The effects of different parameters on velocity, temperature, and concentration profiles is examined and discussed in depth by graphs and tables. The outcomes indicate that the velocity profile along both x and y directions augment with higher values of viscoelastic parameter. The results also confirm that an increment in the values of ratio parameter tends to grow up the velocity profile alongside y-direction. However, the velocity profile along x-direction slows down with increment in the value of third order slip parameter. Also, the results illustrate that diminution in temperature is observed for higher Sc in the region of boundary layer. Besides, both temperature and concentration can be improved via higher Biot number. The upshots also portrayed that the local skin friction coefficient augmented within mounting values of viscoelastic fluid parameter. Furthermore, for finer values of Biot number both local Nusselt number and the local Sherwood number are enlarged. In addition, the most favorable agreement is observed among the results of the present study and those of the earlier studies.

Keywords: Three-dimension flow; Third order slip; viscoelastic fluid; Cattaneo-Christov heat model; Nanofluid