Developing a Grey Forecasting Model for the Air Flowing across the Parallel Plate Duct

The focus of this work is on developing a nonlinear grey model for the laminar flow regime carrier fluid across flat plate collector. trust region reflective algorithm was used to solve problem and handle sparse matrix. stream function, dimensionless velocity, gradients velocity components, temperature, absorber temperature were estimated collector operated with without circular chimney. Similarly, same technique adopted determine heat transfer plate. numerically obtained solution also compared parameters through instrumental measurement. relative tolerance kept at 10?5 white box solutions. developed noticed have smaller deviation than conventional analytical predict experimental values. slip condition observed proposed scheme. uncertainty in measurement varies from ±0.53 ±1.47 K. minimum absolute percentage error (MAPE) lies domain 0.52–1.67% model, whereas linear measuring has 0.0011–0.02%.