In the present study, a novel soft computing paradigm is presented for the dynamical analysis of fluid mechanic problem of nanofluidics based on multi-walled carbon nanotube (MWCNT) along a flat plate with Navier slip boundary by exploiting the strength of evolutionary cubic/qartic spline method. In the scheme, mathematical modeling of the system is carried out with competency of cubic/gartic spline method and optimization of the coefficient of the spline is carried out with global search efficacy of Differential evolution (DE) combined with interior-point method (IPM) as efficient local search algorithm. An error function fitness function is formulated by utilizing the competency of approximate theory in mean square sense and integrated optimization brilliance of DE-IPM is utilized for learning of designed weights. The robustness of the design scheme is validated through statistical analysis in terms of sufficient large number of independent runs of the algorithms. The comparative results of numerical simulations with proposed design method endorsed the worth of the scheme for solving variant of the system model representing the fluid flow and heat transfer of MWCNTs along a flat plate with and without Navier slip conditions with different base fluids including water, kerosene oil and engine oil (EO) mixed with nanoparticle.

Ammara Mehmood currently works at Department of Computer and Electrical Engineering, COMSATS university Islamabad, Attock campus. She is currently working towards a Ph.D. degree at the Department of Electrical Engineering, Pakistan Institute of Engineering, and Applied Sciences, Islamabad, Pakistan. She finished his Masters in Electrical Engineering at the COMSATS university Islamabad, Attock campus. She received the Bachelor degree in Electronic Engineering at International Islamic university, Islamabad, Pakistan. She directs the research studies to many MS students in system identification field. Her research interests include neural networks, optimization, evolutionary computing, and system identification.