This study investigates electrokinetically driven Bingham viscoplastic fluid flow and heat transfer over a rotating disk embedded in a porous medium under zeta-potential, electric-field and magnetic-field effects. The purpose of this paper is to clarify the coupled transport behavior and to establish the numerical reliability of the solution for this yield-stress flow problem.
The governing continuity, momentum, energy and electric-potential equations are reduced through similarity transformations to a coupled nonlinear system of ordinary differential equations. The resulting boundary-value problem is solved in MATLAB using the bvp4c collocation solver, and the numerical accuracy is assessed through residual, grid-refinement, convergence and validation analyses. Heat transfer and shear stress are also computed. A large data set is required for feed forward neural networks to learn Bingham fluid flow problem. The numerical solution obtained by bvp4c is considered to train the network as a ground truth data. A total of 495 data points are obtained as a numerical solution in the domain . To partition data set 396 samples are used as a training set (80%) and 99 samples as testing set (20%). Performance metric like MSE and values verify the accuracy and reliability of obtained solution.
The outcomes reveal that enhancing the zeta potential and electroosmotic parameter diminishes the radial velocity, while higher electric field parameter intensifies it. The Bingham response is more enhanced across the disk, whereas the skin friction is greater and yielded layer is observed preceding across the far field. An increase in the Eckert number raises the temperature field and reduces the heat-transfer rate (Nusselt number), while larger zeta potential lowers the skin-friction coefficient. The numerical solution exhibits second-order convergence with average errors of order 10−9 and good agreement with available benchmark results.
This study extends rotating-disk Bingham-flow analysis by incorporating electroosmotic forcing with zeta-potential and porous-medium effects within a convergence-validated framework. The results provide useful guidance for controlling viscoplastic flow, wall shear and thermal transport in electrochemical, biomedical and microfluidic systems.
