Three dimensional flow of Cross nanofluid over bidirectional moving surface in Darcy-Forchheimer medium with Cattaneo-Christov heat flux

The main purpose of this study is to present the mathematical modeling of steady three dimensional boundary layer flow of incompressible non-Newtonian Cross nanofluid over a bidirectional stretching surface. The Buongiorno nanofluid model and Cattaneo-Christov heat flux model are also assumed in present work. It is considered that bidirectional stretching sheet is embedded in Darcy-Forchheimer porous media. Additionally, the motion of fluid flow is induced due to the bidirectional stretching surface. Boundary layer theory is invoked to model the basic partial differential equations of current study. The modeled partial differential equations are reduced to ordinary differential equations with the assistance of appropriate transformation and then solved numerically through Runge Kutta Fehlberg scheme along shooting method. The ranges of involved physical parameters in present study can be explained as 0 & LE; & beta;T & LE; 0.08, 0 & LE; & beta;C & LE; 0.25, 0 & LE; Fr & LE; 6.0,0 & LE;& beta; & LE; 4.0, 0 & LE; We1 & LE; 1.0,0 & LE; We2 & LE; 1.5, 0 & LE; Nt & LE; 0.4, 0.1 & LE; Nb & LE; 1.2, 0 & LE; n & LE; 2, 0 & LE;& delta;& LE; 1.2, 0.7 & LE; Pr & LE; 6.2, 1 & LE; Sc & LE; 7. It is engrossing to reveal that surface mass transfer rate is an aggrandizing function of concentration relaxation parameter but reverse behavior is noticed for enrich thermal relaxation parameter. Additionally, fluid velocities f & PRIME; (& eta;) and g & PRIME; (& eta;) reduce due to the improvement of Forchheimer number and porosity parameter. Furthermore, magnitudes of the surface drag forces along x- and y- di- rectionsgrow for larger approximation of Weissenberg numbers.

Automated summary

The main purpose of this study is to develop a mathematical model for the steady three-dimensional boundary layer flow of incompressible non-Newtonian Cross nanofluid over a bidirectional stretching surface. The Buongiorno nanofluid model and Cattaneo-Christov heat flux model are employed in this study. The motion of fluid flow is induced due to the bidirectional stretching surface embedded in Darcy-Forchheimer porous media. The modeled partial differential equations are reduced to ordinary differential equations using appropriate transformation, and then numerically solved using the Runge-Kutta Fehlberg scheme and shooting method.