Optimization of Heat Transfer With Carbon Nanotubes Over Exponential Curved Stretching Sheet—A Signal to Noise Ratio and ANOVA Approach

ABSTRACT The present study investigates the heat transfer in Darcy‐Forchheimer flow of carbon‐nanotubes (CNTs) including thermal radiation, viscous dissipation, and Joule heating over exponential curved stretching surface. Nanoparticle transport is modeled using the Xue formulation. The governing nonlinear partial differential equations are transformed through suitable similarity variables and solved numerically via the Maple ODE solver technique. The highlights of the present work are: Excellent agreement has been achieved between the current numerical results and the previous findings under limiting conditions. Taguchi method was used to recognize the impacts of key parameters on heat transfer performance. This statistical approach reduces the computational and empirical efforts and is very much accurate with an assessed error of 0.01%. Multivariate linear regression analysis and Pearson correlation coefficients are utilized to find the individual influence of parameters and found very good observations. Thus, the current study explores the combined thermal effects with three statistical approaches and the findings of the study have applications in biomedical and environmental technologies.