Abstract
This paper studies the combined effects of viscous dissipation, first and second-order slip and variable transport properties on phase-change hydromagnetic bio-nanofluid convection flow from a stretching sheet. Nanoscale materials possess a much larger surface to volume ratio than bulk materials, significantly modifying their thermodynamic and thermal properties and substantially lowering the melting point. Gyrotactic non-magnetic micro-organisms are present in the nanofluid. The transport properties are assumed to be dependent on concentration and temperature. Via appropriate similarity variables, the governing equation with boundary conditions are converted to nonlinear ordinary differential equations and are solved using the BVP4C subroutine in the symbolic software MATLAB. The non-dimensional boundary value features a melting (phase change) parameter, temperature-dependent thermal conductive parameter, first as well as second-order slip parameters, mass diffusivity parameter, Schmidt number, microorganism diffusivity parameter, bioconvection Schmidt number, magnetic body force parameter, Brownian motion and thermophoresis parameters. Extensive computations are visualized for the influence of these parameters. The present simulation is of relevance in the fabrication of bio-nanomaterials for bio-inspired fuel cells.
Highlights
Melting fluid dynamics and heat transfer constitute an interesting sub-section of thermo-physics
Simulation of melting processes is very complex since; in general, engineers must correctly model thermally-driven flow which is coupled with a moving interface
A significant temperature enhancement is obtained with an increase in both temperature dependent viscous parameter, h2, and Eckert number, The circles correspond to the Variational Iteration Method (VIM) solution and the lines to the BVP4C computations
Summary
Melting fluid dynamics and heat transfer constitute an interesting sub-section of thermo-physics. To focus on boundary-layer flow in melting phase-change problems in which the melting effect can be simulated as a boundary condition which circumvents the need to solve the full field equations in real time Less accurate, this approach has its merits since it does provide a reasonable approximation for the wall heat transfer rates. Investigated viscosity and thermal conductivity modifications in nano-encapsulated phase change materials They observed that the viscosity of the nanofluids is lowered with greater temperature whereas it is enhanced with increasing solid nanoparticle concentration. Kumar Ch and Bandari [22] presented numerical quadrature solutions for two-dimensional stagnation-point thermal convection of a nanofluid towards a melting stretching sheet of copper and silver nanoparticles in a water-based fluid. (VIM) [49,50]
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