Taylor dispersion in non-Darcy porous media with bulk chemical reaction: a model for drug transport in impeded blood vessels

Roy, Ashis Kumar; Bég, O. Anwar; Saha, Apu Kumar; Murthy, J. V. Ramana

doi:10.1007/s10665-021-10120-8

Cited by 16 publications

(6 citation statements)

References 57 publications

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“…For higher spin velocity of the disk, inertial effects will be invoked, and a Forchheimer second order drag arises. Although this has not been considered in the present study, since attention is confined to slow rotation in the magnetic bioreactor, future investigations may consider Darcy‐Forchheimer models for the porous medium [64]. Momentum boundary layer thickness is reduced with greater Darcy number.…”

Section: Resultsmentioning

confidence: 99%

Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

et al. 2023

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Prompted by the advancements in hybrid bio-nano-swirling magnetic bioreactors, a mathematical model for the swirling flow from a rotating disk bioreactor to a magnetic fluid saturating a porous matrix and containing nanoparticles and gyrotactic micro-organisms has been developed. An axial magnetic field is administered which is perpendicular to the disk and Hall currents are included. The disk is assumed to be impervious and stretches in the radial direction with a power-law velocity. The Buongiorno nanoscale, Kuznetsov bioconvection and Darcy porous media models are deployed. Anisotropic momentum, thermal, nanoparticle concentration and motile micro-organism slip effects are incorporated. Stefan blowing is also simulated. The governing conservation equations are transformed with appropriate variables to ordinary nonlinear differential equations. MATLAB bvp4c shooting quadrature is used to solve the emerging nonlinear, coupled ordinary differential boundary value problem under transformed boundary conditions. Verification with earlier solutions for the non-magnetic Von Karman bioconvection nanofluid case is conducted. Further validation of the general magnetic model is conducted with the Adomian decomposition method (ADM). Extensive visualization of velocity, temperature, nanoparticle concentration and motile microorganism density number profiles is presented for the impact of various parameters including magnetic interaction parameter, Hall current parameter, Darcy number, momentum slip, thermal slip, nanoparticle slip and microorganism slip. Computations are also performed for skin friction, Nusselt number, Sherwood number and motile micro-organism density number gradient. The simulations provide a useful benchmark for further studies.

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Section: Resultsmentioning

confidence: 99%

Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

et al. 2023

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“…Studies on dispersion phenomena in porous media progressed chronologically toward complex models. Roy et al [38] discussed Taylor dispersion phenomena in non-Darcy porous medium and showed its applications on drug transport in impeded blood vessels. Numerous fields of research and engineering, such as metallurgy, earth science and nuclear engineering, are involved in the study of the flow of an electrically conducting fluid through a porous media in the presence of a magnetic field [25,39].…”

Section: Introductionmentioning

confidence: 99%

“…Solute transport in liquid-filled porous medium flows offers some insights to understand the scientific and technological significance due its potential applications in engineering and biological situations, such as the movement of minerals (such as fertilizers) in soils, the transport of contaminants in soils, the movement of nutrients in bones, the intrusion of salt in fresh water in soils near ocean coasts, secondary recovery methods in oil reservoirs (where the injected fluid dissolves the reservoir's soil), the use of tracers in petroleum engineering, solute transport in the CNS, blood transport in impeded blood vessels and many more (see the studies by Goldsztein [34]; Bear [41]; Wu et al [28]; Dentz et al [42]; Sharp et al [37]; Jiang & Chen [43]; Roy et al [38]; Yang et al [44]; Poddar et al [40]; Jiang et al [45]). Because of the relevance of wetland flows with the porous media flows, it has also received attention in the field of wastewater treatment, ecological restoration, flood management, biodiversity protection and ecological remodelling [26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Multi-scale analysis of concentration distribution in unsteady Couette–Poiseuille flows through a porous channel

2023

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A multiple-scale perturbation analysis is presented to analyse the two-dimensional concentration distribution of passive contaminant released in an incompressible viscous fluid flowing between two parallel plates filled with a porous medium. The flow is driven by the combined effect of the upper plate oscillation in its own plane moving with a constant velocity, and the periodic pressure gradient. Mei’s homogenization technique is used to find the concentration distribution up to third order, complemented with the dispersion coefficients for four different situations, namely, steady, pulsatile, oscillatory and the combined effect of all these. We observe that when the flow is under the combined effect of wall oscillation and pressure pulsation, then the respective frequency (Womersley number) and amplitude parameters oppose each other while influencing the dispersion coefficient. Our analysis reveals that for a fixed amplitude of oscillation and pulsation, the frequency of pressure pulsation has a stronger effect on the dispersion coefficient compared with the wall oscillation. On the other hand, when the Womersley number is kept fixed, amplitude of the wall oscillation dominates the pressure pulsation. This behaviour is more prominent for higher values of the Darcy number. The transverse concentration distribution and its dependency on porous medium parameters are also discussed in detail.

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“…Very recently, Amirsom et al [41] studied magnetohydrodynamic bio-nano-convective non-Newtonian flow along a needle with Stefan blowing. Further studies of non-Newtonian transport with and without bioconvection in porous media include Roy et al [42] (on Taylor dispersion in power-law blood flow through Darcy-Forchheimer porous biomaterials) and Umavathi and Bég [43] on thermosolutal hydrodynamic stability of polar (couple stress) nanofluid saturated porous media. Some other analytical and numerical approaches relevant to simulation of nanofluid flow doped with propelling micro-organisms include Rehman et al [44], Rizwana et al [45], Ahmad et al [46], Hussain et al [47].…”

Section: Introductionmentioning

confidence: 99%

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

Uddin

Amirsom

Bég

et al. 2022

Waves in Random and Complex Media

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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.

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Taylor dispersion in non-Darcy porous media with bulk chemical reaction: a model for drug transport in impeded blood vessels

Cited by 16 publications

References 57 publications

Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

Multi-scale analysis of concentration distribution in unsteady Couette–Poiseuille flows through a porous channel

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

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