Melting heat transfer and entropy optimization owing to carbon nanotubes suspended Casson nanoliquid flow past a swirling cylinder-A numerical treatment

摘要

The astounding physiognomies of carbon nanotubes such as lightweight, mechanical stability, excellent thermal and electrical conductivities, and physicochemical compatibility make them perfect material for electrochemical gadgets. Having such amazing characteristics in mind our intention is to provide a numerical solution of Casson nanofluid flow containing melting heat transfer past a swirling cylinder. Analysis of multi-wall carbon nanotubes (MWCNTs) with water as a base fluid is performed. Effects of entropy generation, magnetohydrodynamics, and heat generation/absorption are also contemplated. The proposed physical model is erected and through feasible transformations, the obtained coupled nonlinear system of ODEs is solved via bvp4c function of MATLAB software numerically. The impacts of Casson nanofluid comprises of MWCNTs on skin friction, entropy generation coefficient and heat transfer rate are analyzed. Graphs of physical parameters of interest, Casson parameter ( 0 ≤ β ≤ 2 ), magnetic parameter ( 0 ≤ M ≤ 6 ), nanoparticle volume fraction ( 0 ≤ ? ≤ 0.3 ), melting parameter ( 0.1 ≤ M * ≤ 2.0 ), dimensionless temperature difference ( 0 ≤ α ≤ 0.3 ), Brinkman number ( 0.7 ≤ B r ≤ 2.0 ), versus swirling velocity, temperature and entropy optimization are also illustrated and discussed in detail. Tabulated numerical values of skin friction and heat transfer rate with requisite discussion are also a part this analysis. It is finally summarized that entropy optimization is an escalating function of magnetic parameter.