Mixed convection and melting rheology in dual stratified Eyring-Powell nanofluid flow over surface of variable thickness: Buongiorno model approach

Eyring Powell fluid flow over linear as well as nonlinear stretching surfaces has been discussed in literature by several researchers. However, lesser attention has been paid for such studies with surfaces comprising variable thickness. Present communication inculcates the novel features regarding melting heat transport in Eyring Powell nanofluid over a surface of variable thickness while keeping in view the aspects of radiative heat transfer. Influence of thermophoresis and Brownian motion phenomena is discussed by making use of Buongiorno model approach. Here, the flow characteristics are analyzed in mixed convective and dual stratified porous medium. Appropriate transformations are imposed in order to convert partial differential equations to ordinary differential equations possessing highly nonlinear form. Homotopy analysis method is utilized to achieve desired convergent series solutions. Impact of several emerging variables on velocity temperature and concentration distributions is analyzed graphically. Expressions for drag force and rate of heat transfer are evaluated and demonstrated graphically. Nano particle concentration increases for higher Brownian motion parameter. Enriched thermal field is attained due to rise in thermophoretic parameter. However, recessive behavior of velocity profile results due to higher fluid parameters. Thermal field rises as a result of larger values of mixed convection parameter while it decays gradually for enhanced melting parameter.

Automated summary

This study discusses the melting heat transport of Eyring Powell nanofluid over a surface of variable thickness, considering radiative heat transfer and mixed convection. The impact of thermophoresis and Brownian motion phenomena on flow characteristics is analyzed using the Buongiorno model approach, and Homotopy analysis method is utilized to achieve convergent series solutions to highly nonlinear ordinary differential equations.