... 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...

... is performed through response surface methodology based on a central composite design and analysis of variance to quantify the influence of the key parameters. Furthermore, a LMS-ANN, optimized using gradient descent and using a tangent-sigmoid activation function, is developed in MATLAB to accurately...

... influence and optimize thermal performance, response surface methodology and normalized sensitivity analysis are employed. A predictive correlation relating key parameters to the heat transfer response is also developed. Findings The analysis shows that ternary nanofluid yields the highest heat transfer...

.... A second-law thermodynamic analysis is conducted to investigate the entropy generation within the system. In addition, desirability function and response surface methodology are used to simultaneously optimize the rate of heat and nanoparticle mass transfer on the disk surface. Findings The results...

... temperature. In addition, the stable numerical solution is scrutinized using response surface methodology (RSM) to validate and optimize flow control. The RSM optimization confirms that higher suction, magnetohydrodynamic effects and first-order slip levels are essential for minimizing skin friction...

... with response surface methodology is used. Sensitivity analysis is used to validate the accuracy of nondimensional numbers. Findings The impact of various flow parameters is presented graphically and in numerical tables. It is noted that the velocity slip parameter is the most sensitive flow parameter...

...; F_lw = Frictional forces on the lower wall; R² = Coefficient of determination; ANOVA = Analysis of variance; RSM = Response surface methodology; ω = Casson fluid parameter; ψ = Stream function; a ¯ 1 , a ¯ 2...

..., are investigated using a finite volume approach. The sensitivity analysis of the effective parameters is done utilizing the response surface methodology. Findings The results obtained showed that the mean Nusselt number and total entropy generation increase with the Rayleigh number. Also, increasing...