Computation of bio-nano-convection power law slip flow from a needle with blowing effects in a porous medium

Abstract

Transport phenomena with fluid flow, heat, mass, nanoparticle species and microorganism transfer external to a needle in a porous medium have many biomedical engineering applications (e. g. hypodermic needles used in hemotology). It is also used to design many biomedical engineering equipments and coating flows with bio-inspired nanomaterials. Coating flows featuring combinations of nanoparticles and motile micro-organisms also constitute an important application area. A mathematical model for convective external boundary layer flow of a power-law nanofluid containing gyrotactic micro-organisms past a needle immersed in a Darcy porous medium is developed. Multiple slips boundary conditions and Stefan blowing effects at the needle boundary are taken into account. The model features a reduced form of the conservation of mass, momentum, energy, nanoparticle species and motile micro-organism equations with appropriate coupled boundary conditions. The governing nonlinear partial differential equations (NPDEs) are converted to dimensionless form and appropriate invariant transformations are applied to obtain similarity ordinary differential equations (SODE). The transformed equations have been solved numerically using the in-built Matlab bvp4c function. The influence of the emerging parameters on the dimensionless velocity, temperature, nanoparticle concentration, motile micro-organism density functions, skin friction, heat, mass, and micro-organism transfers) are discussed in detail. It is found that velocity decreases whilst temperature, concentration, and density of motile microorganism increase with an increase in blowing parameter for shear thinning (pseudoplastic), Newtonian, and shear thickening (dilatant) fluids. It is also found that skin friction, Nusselt number (dimensionless heat transfer rate), Sherwood number (dimensionless nanoparticle mass transfer rate) and motile micro-organism wall density gradient decrease with increasing blowing, Darcy, power law and needle size parameters. Comparison with the earlier published results is also included and an excellent agreement is obtained.

Thermal analysis of micropolar hybrid nanofluid inspired by 3D stretchable surface in porous media

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Magneto-convective hybrid nanofluid slip flow over a moving inclined thin needle in a Darcy-Forchheimer porous medium with viscous dissipation

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Dissolution‐driven convection of a power‐law fluid in a porous medium in the presence of chemical reaction

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