Abstract
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≤ϕ≤0.3), melting parameter (0.1≤M*≤2.0), dimensionless temperature difference (0≤α≤0.3), Brinkman number (0.7≤Br≤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.
Highlights
The measure of irreversibility during a process in a system is named as Entropy
This segment is devoted to depict the results of numerical computations graphically for several values of parameters like Casson parameter ( β), magnetic parameter (M), melting parameter (M∗), Brinkman number (Br), dimensionless temperature difference (α), and nanoparticle volume fraction (φ)
Casson parameter is dependent on yield stress and a resisting force is activated owing to this stress which compels the swirling velocity to decrease for mounting values of Casson parameter
Summary
B0 B αnf μf μnf NG knf Nanoparticle volume fraction latent heat of fluid a scaled boundary-layer coordinate thermal conductivities of nanomaterial melting parameter Dimensionless temperature difference Brinkman number Heat capacity of surface electric conductivity of fluid Skin friction coefficient Nusselt number Temperature Ambient temperature Prandtl number coefficient of heat generation/absorption characteristics length strain rate at the cylinder’s surface Density of nanofluid local Reynolds number constant magnetic flux density Magnetic field strength Nanofluid thermal diffusivity Fluid dynamic viscosity Nanofluid dynamic viscosity entropy generation thermal conductivity of nanofluid
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