Transient Analysis of Third-Grade Fluid Flow Past a Vertical Cylinder Embedded in a Porous Medium

摘要

The concept of heatlines formulates the present problem for cylindrical flow geometry through a porous medium. The current work demonstrates the coupled, highly nonlinear, complex equations of third-grade fluid with unsteady characteristics. The Crank-Nicolson type of implicit numerical scheme is applied to the solution domain subject to suitable initial and boundary conditions. In the considered flow-domain for understanding the visualization technique of heat transfer, the heatlines are the best alternate tools than usual isotherms and streamlines since it is connected to the heat transfer rate all over the geometry. The flow visualization of thermal energy transfer demonstrates that the heatline contours are thicker in the precinct of base edge of the heated vertical surface. It is witnessed that as the Darcy number increases, the heatlines show less deviation from the hot wall. Also, as third-grade fluid parameter increases, the deviation of heatlines varies slightly for the fixed Darcy number.