Numerical study of double-diffusive dissipative reactive convective flow in an open vertical duct containing a non-Darcy porous medium with Robin boundary conditions

Umavathi, J. C.; Bég, O. Anwar

doi:10.1007/s10665-019-10022-w

Cited by 15 publications

(14 citation statements)

References 36 publications

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“…For Eqn. (38), the first equation is substituted by the corresponding boundary equation in Eq. (36):…”

Section: Computational Solutions With Chebychev Collocationmentioning

confidence: 99%

“…Thermo-solutal transport in saturated porous media has stimulated considerable attention in engineering analysis. Interesting studies (which usually feature the Darcy viscous-dominated drag force model or the non-Darcy formulation for inertial effects), in this regard, include coupled heat and mass transfer from vertical surfaces in permeable media [35,36], micropolar plume dynamics in geological porous media [37], geothermal reactive duct flows in non-Darcy media with mixed boundary conditions [38] and biomagnetic oscillatory (pulsatile) hemodynamics in diseased arteries [38]. Several investigators have also addressed the dynamics of Newtonian and non-Newtonian fluids from a rotating disk to a porous medium substrate.…”

Section: Introductionmentioning

confidence: 99%

“…Interesting studies related to Darcy viscous-dominated drag force model or the non-Darcy formulation for inertial effects can be mentioned as: heat and mass transfer over vertical surfaces in permeable media, 35,36 micropolar plume dynamics in geological porous media, 37 geothermal reactive duct flows in non-Darcy media with mixed boundary conditions 38 and biomagnetic oscillatory (pulsatile) hemodynamics in diseased arteries. 38,39 Several investigators addressed the dynamics of Newtonian and non-Newtonian fluids from a rotating disk to a porous medium substrate. Attia 40 studied the steady viscous Newtonian flow and thermal convection from a rotating disk to a high permeability porous medium.…”

Section: Introductionmentioning

confidence: 99%

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Numerical investigation of Von Karman swirling bioconvective nanofluid transport from a rotating disk in a porous medium with Stefan blowing and anisotropic slip effects

Bég¹,

Kabir

Uddin

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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In recent years, significant progress has been made in modern micro- and nanotechnologies for micro/nano-electronic devices. These technologies are increasingly utilizing sophisticated fluid media to enhance performance. Among the new trends is the simultaneous adoption of nanofluids and biological micro-organisms. Motivated by bio-nanofluid rotating disk oxygenators in medical engineering, in the current work, a mathematical model is developed for steady convective von-Karman swirling flow from an impermeable radially stretched disk rotating in a Darcy porous medium saturated with nanofluid doped with gyrotactic micro-organisms. Anisotropic slip at the wall and blowing effects due to concentration are incorporated. The nano-bio transport model is formulated using nonlinear partial differential equations, which are transformed to a set of similarity ordinary differential equations (SODEs) by appropriate transformations. The transformed boundary value problem is solved by a Chebyshev spectral collocation method (CSCM). Impacts of key parameters on dimensionless velocity components, concentration, temperature and motile microorganism density distributions are investigated and graphically visualized. Validation with previous studies is included. It is found that that the effects of suction provide a better enhancement of the heat, mass and microorganisms transfer in comparison to blowing. Moreover, physical quantities decrease with higher slip parameters irrespective of the existence of blowing. Temperature is suppressed with increasing thermal slip, while nanoparticle concentration is suppressed with increasing wall mass slip. Micro-organism density number increases with the greater microorganism slip. Radial skin friction is boosted with positive values of the power law stretching parameter, whereas it is decreased with negative values. The converse response is computed for circumferential skin friction, nanoparticle mass transfer rate and motile micro-organism density number gradient. Results from this study are relevant to novel bioreactors, membrane oxygenators, food processing and bio-chromatography.

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“…For Eqn. (38), the first equation is substituted by the corresponding boundary equation in Eq. (36):…”

Section: Computational Solutions With Chebychev Collocationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical investigation of Von Karman swirling bioconvective nanofluid transport from a rotating disk in a porous medium with Stefan blowing and anisotropic slip effects

Bég¹,

Kabir

Uddin

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…Extensive analysis of multi-physical heat and mass transfer problems using Robin boundary conditions has been conducted in recent years by Umavathi and co-workers. These studies have explored porous media 66 , cross diffusion in mixed convection 67 , triple diffusion in ducts 68 and micropolar channel flows 69 43 is included. The simulations are relevant to modern magneto-nano-tribological systems.…”

Section: Mos Tiomentioning

confidence: 99%

“…Extensive analysis of multi-physical heat and mass transfer problems using Robin boundary conditions has been conducted in recent years by Umavathi et al These studies have explored porous media, 66 cross diffusion in mixed convection, 67 triple diffusion in ducts 68 and micropolar channel flows. 69 However, the transient magnetohydrodynamic squeezing flow of nano-lubricants with Robin boundary conditions imposed at the disks remains an open question in the literature.…”

Section: Introductionmentioning

confidence: 99%

Unsteady squeezing flow of a magnetized nano-lubricant between parallel disks with Robin boundary conditions

Umavathi

Patil

Mahanthesh

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part N:

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The aim of the present work is to examine the impact of magnetized nanoparticles (NPs) in enhancement of heat transport in a tribological system subjected to convective type heating (Robin) boundary conditions. The regime examined comprises the squeezing transition of a magnetic (smart) Newtonian nano-lubricant between two analogous disks under an axial magnetism. The lower disk is permeable whereas the upper disk is solid. The mechanisms of haphazard motion of NPs and thermophoresis are simulated. The non-dimensional problem is solved numerically using a finite difference method in the MATLAB bvp4c solver based on Lobotto quadrature, to scrutinize the significance of thermophoresis parameter, squeezing number, Hartmann number, Prandtl number, and Brownian motion parameter on velocity, temperature, nanoparticle concentration, Nusselt number, factor of friction, and Sherwood number distributions. The obtained results for the friction factor are validated against previously published results. It is found that friction factor at the disk increases with intensity in applied magnetic field. The haphazard (Brownian) motion of nanoparticles causes an enhancement in thermal field. Suction and injection are found to induce different effects on transport characteristics depending on the specification of equal or unequal Biot numbers at the disks. The main quantitative outcome is that, unequal Biot numbers produce significant cooling of the regime for both cases of disk suction or injection, indicating that Robin boundary conditions yield substantial deviation from conventional thermal boundary conditions. Higher thermophoretic parameter also elevates temperatures in the regime. The nanoparticles concentration at the disk is boosted with higher values of Brownian motion parameter. The response of temperature is similar in both suction and injection cases; however, this tendency is quite opposite for nanoparticle concentrations. In the core zone, the resistive magnetic body force dominates and this manifests in a significant reduction in velocity, that is damping. The heat build-up in squeeze films (which can lead to corrosion and degradation of surfaces) can be successfully removed with magnetic nanoparticles leading to prolonged serviceability of lubrication systems and the need for less maintenance.

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Computation of radiative Marangoni (thermocapillary) magnetohydrodynamic convection in a Cu‐water based nanofluid flow from a disk in porous media: Smart coating simulation

et al. 2020

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With emerging applications for smart and intelligent coating systems in energy, there has been increasing activity in researching magnetic nanomaterial coating flows. Surface tension features significantly in such regimes, and in the presence of heat transfer, Marangoni (thermocapillary) convection arises. Motivated by elaborating deeper the intrinsic transport phenomena in such systems, in this paper, a mathematical model is developed for steady radiative heat transfer and Marangoni magnetohydrodynamic flow of a Cu‐water nanofluid influencing a strong magnetic field through a porous disk. The semianalytical adomain decomposition method is employed to find the solution of flow governing equations, which are reduced into ordinary differential equation form via the Von Karman similarity transformation. Validation with a generalized differential quadrature algorithm is included. The response in dimensionless velocity, temperature, wall heat transfer rate and shear stress is investigated for various values of the control parameters. Temperature is reduced with increasing Marangoni parameter, whereas the flow is accelerated. With increasing permeability parameter, the temperatures are elevated. Increasing radiative flux boosts temperatures further from the disk surface. Increasing magnetic parameter strongly dampens the boundary layer flow and elevates the temperatures, also eliminating temperature oscillations at lower magnetic field strengths.

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Numerical study of double-diffusive dissipative reactive convective flow in an open vertical duct containing a non-Darcy porous medium with Robin boundary conditions

Cited by 15 publications

References 36 publications

Numerical investigation of Von Karman swirling bioconvective nanofluid transport from a rotating disk in a porous medium with Stefan blowing and anisotropic slip effects

Numerical investigation of Von Karman swirling bioconvective nanofluid transport from a rotating disk in a porous medium with Stefan blowing and anisotropic slip effects

Unsteady squeezing flow of a magnetized nano-lubricant between parallel disks with Robin boundary conditions

Computation of radiative Marangoni (thermocapillary) magnetohydrodynamic convection in a Cu‐water based nanofluid flow from a disk in porous media: Smart coating simulation

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