Effect of electrostatic force and thermal radiation of viscoelastic nanofluid flow with motile microorganisms surrounded by PST and PHF: Bacillus anthracis in biological applications

Abstract

Current studies have a significant application in various fields; motile microorganism, such as bacteria, can be used for targeted drug delivery. This is because they can be engineered to carry drugs to specific locations in the body. For example, bacteria can be modified to express genes that code for targeting ligands, which are molecules that bind to specific receptors on cells. This could help to prevent the bacteria from multiplying and causing disease. The main aim of the current work is to perform the numerical analysis of three-dimensional radiative, steady viscoelastic nanofluids flow towards an exponentially stretchable porous surface. The impact of nth-order chemical reaction and motile microbes are also disclosed looks at how multiple slips affect the Buongiorno model for magnetohydrodynamic viscoelastic nanofluids with radiation across a permeable stretched sheet. The appropriate suitable are used to transform nonlinear partial differential equations into ordinary differential equations. The numerical solution of the resulting system of equations is handled numerically by employing the bvp4c algorithm built-in MATLAB Software which comes of three-stage Lobatto IIIa formula. Dimensionless values such as temperature, concentration, velocity, and the non-Newtonian nano-fluid density profile are explored, as are non-dimensional numbers such as the local Nusselt, local friction coefficient, Sherwood, and motile microbe. Present results signifies enhancement in the temperature profiles as well as the thickness of the thermal boundary layer by increasing Brownian motion (Nb) and thermophoresis parameters (Nt), whereas decrement is noted against the viscoelastic parameter (K). As the value of the magnetic parameter ranges 0.0≤M≤ 0.2 the relative increment noted in skin friction coefficient is about 1.9 %, while decrement is found in curves of velocity field. Our findings are compared with the data available in the literature and found to be in good consensus.