Statistical optimization of radiative MHD Reiner–Philippoff fluid over wedge: a spectral quasilinearization approach
Renu Jindal, Kushal SharmaPurpose
This study aims to investigate the optimization of heat transfer over a wedge-shaped surface resulting from non-Newtonian fluid flow. The Reiner–Philippoff model is used to demonstrate the rheology of a non-Newtonian fluid. Magnetic-field and thermal-radiation effects are incorporated to enhance the model’s physical realism.
Design/methodology/approach
The governing equations are transformed into non-dimensional ordinary differential equations using similarity transformations. The numerical solutions are obtained using a spectral quasilinearization framework, where the equations are iteratively linearized and solved using the Chebyshev spectral collocation method. Furthermore, the resulting solutions for the heat transfer coefficient are optimized with the help of response surface methodology to identify the most influential factors and their optimal values.
Findings
Response surface methodology enables systematic optimization for the thermal-flow responses. The model adequacy is confirmed through residual diagnostics and regression statistics, which indicate that the developed model successfully explains over 99.88% of the variation, demonstrating its reliability and predictive capability. Model validation is also performed by comparing the response surface methodology values with spectral quasilinearization results. Optimal conditions are determined using spectral quasilinearization approach and response surface methodology, yielding an optimal response value of 4.19332.
Originality/value
The current study presents a novel investigation by simultaneously addressing the numerical accuracy and response optimization.