Dynamics and modeling of nonlinear forced convective flow of Carreau-fluid (non-Newtonian fluid) with Marangoni convection

This paper deals with Marangoni convective flow of Carreau fluid. Boundary condition for momentum equation is considered to be Marangoni type. Thermal energy produces when current passes through the electrical conductor and this process is called Joule heating. Viscous dissipation is also applied in thermal equation. Nonlinear mixed convection for temperature is considered. Governing equations of PDE's are converted to ODE's by implementation of transformation. ND-Solve MATHEMATICA method is used to solve the equations. Parameters result against temperature, velocity, entropy rate, Bejan number, Skin friction and Nusselt number is examined via graphs. Due to increase in fluid parameter velocity of the fluid reduces while increasing impact is seen for temperature. Temperature is increasing function of Eckert number. Entropy generation also shows rising impact via fluid parameter while Bejan number decays. Drag force of surface decays via fluid parameter. Nusselt number is in direct relation with Prandtl and Eckert number.

Automated summary

This paper discusses Marangoni convective flow of Carreau fluid, considering boundary conditions for momentum equation and viscous dissipation in thermal equation. By converting governing equations from PDEs to ODEs and using the ND-Solve MATHEMATICA method to solve them, the effects of parameters on temperature, velocity, entropy rate, Bejan number, skin friction, and Nusselt number are examined through graphs.