A convective flow of Williamson nanofluid through cone and wedge with non-isothermal and non-isosolutal conditions: A revised Buongiorno model

A convective flow of Williamson nanofluid over two different geometries (i.e. cone and wedge) with convective boundary condition is studied in this paper. The variable non-isothermal and non-isosolutal conditions are taken for nanofluid flow transport through wedge and cone. The coefficients of Brownian and thermophoresis diffusions are also taken into consideration. The renovated system of equations is interpreted by using homotopy analysis method (HAM). The convergence analysis of HAM is shown through figures. The variation in the nanofluid flow distributions (i.e. velocity, thermal, and concentration) is visualized graphically and discussed in detail. Numerical values of interests (i.e. skin factor, Nusselt and Sherwood numbers) are shown in tabular form. It is found that the increasing impression in velocity of Newtonian and Williamson nanofluid is greater through cone as compared to wedge. Also, reducing impression in thermal and concentration of the nanofluid flow is greater for Williamson as compared to Newtonian. Also, these impressions are greater for wedge as compared to cone. The reducing impression of Williamson parameter on velocity distribution is higher for wedge as compared to cone, whereas the opposite behaviors in thermal and concentration distributions via Williamson parameter are observed for wedge and cone. Furthermore, the reducing impact of wall temperature is greater for cone as compared to wedge, while the wall concentration has opposite impact for both geometries.

Automated summary

This paper investigates the convective flow of Williamson nanofluid over two different geometries (i.e. cone and wedge) under variable non-isothermal and non-isosolutal conditions, considering Brownian and thermophoresis diffusions. The system of equations is solved using the homotopy analysis method (HAM), and the results are shown through convergence analysis and graphical visualization of flow distributions. Numerical values of interest are presented in tables, showing differences in velocity, thermal, and concentration distributions for different parameters and geometries.