Thermocapillary convection due to imposed interfacial heating in the presence of magnetic field

Hajabdollahi, Farzaneh; Premnath, Kannan N.

doi:10.1007/s10665-017-9903-0

Cited by 3 publications

(4 citation statements)

References 25 publications

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“…As

M

increases, there is also a significant deceleration in the flow (due to the Lorentzian magnetic drag) whereas the heat transfer gradient is increased . This result was also obtained by other investigators including Hajabdollahi and Premnath 8 . An elevation in permeability parameter, P (decreasing porous media permeability), results in greater Darcian resistance to the flow and induces retardation; however, it leads to a strong enhancement in wall temperature gradient.…”

Section: Adm Solution and Validation With Gdqsupporting

confidence: 83%

“…This result was also obtained by other investigators including Hajabdollahi and Premnath. 8 An elevation in permeability parameter, P (decreasing porous media permeability), results in greater Darcian resistance to the flow and induces retardation; however, it leads to a strong enhancement in wall temperature gradient. With increasing Prandtl number (Pr) and radiation parameter R ( ), there is no tangible modification in the velocity field; however, the temperature significantly increased with higher values of Pr,whereas it is markedly suppressed with greater R (since heat transport to the disk surface is inhibited and temperatures are increased within the nanofluid due to energization from the radiative flux).…”

Section: Thermo-capillary Magnetic Radiative Coating Flow Modelmentioning

confidence: 99%

“…Witkowski and Walker 7 investigated axisymmetric flow driven by Marangoni convection and a rotating magnetic field (RMF) in a crystal growth floating‐zone regime, at low Prandtl number, observing that the flow field evolves from a Marangoni dominated flow to a RMF dominated flow with stronger magnetic field and examined the transition region (at which sources of motion eliminate each other) in detail. Hajabdollahi and Premnath 8 studied the Marangoni convection in heated liquid pools formed during melting under strong magnetic field. They derived novel similarity solutions for an imposed interfacial nonlinear heat flux variation, noting that with increasing power‐law exponent there are more distinct variations in the surface heat flux profiles and more intense Marangoni convection, whereas the opposite response is induced with a stronger magnetic field (deceleration and damping).…”

Section: Introductionmentioning

confidence: 99%

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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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“…As

M

Section: Adm Solution and Validation With Gdqsupporting

confidence: 83%

Section: Thermo-capillary Magnetic Radiative Coating Flow Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…2 sin(x) + sin(z), sin(x) + sin(y)], (35) with u 0 = b 0 = 0.0203. Similarly to the two-dimensional case, here the flow is characterized by the presence of intermittent small-scale structures.…”

Section: Two-dimensional Orszag-tang Vortexmentioning

confidence: 99%

Three-dimensional central-moments-based lattice Boltzmann method with external forcing: A consistent, concise and universal formulation

De Rosis,

Huang,

Coreixas

2019

Preprint

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The cascaded or central-moments-based lattice Boltzmann method (CM-LBM) is a robust alternative to the more conventional BGK-LBM for the simulation of high-Reynolds number flows. Unfortunately, its original formulation makes its extension to a broader range of physics quite difficult. To tackle this issue, a recent work [A. De Rosis, Phys. Rev. E 95, 013310 (2017)] proposed a more generic way to derive concise and efficient three-dimensional CM-LBMs. Knowing the original model also relies on central moments that are derived in an adhoc manner, i.e., by mimicking those of the Maxwell-Boltzmann distribution to ensure their Galilean invariance a posteriori, a very recent effort [A. De Rosis and K. H. Luo, Phys. Rev. E 99, 013301 (2019)] was proposed to further generalize their derivation. The latter has shown that one could derive Galilean invariant CMs in a systematic and a priori manner by taking into account high-order Hermite polynomials in the derivation of the discrete equilibrium state. Combining these two approaches, a compact and mathematically sound formulation of the CM-LBM with external forcing is proposed. More specifically, the proposed formalism fully takes advantage of the D3Q27 discretization by relying on the corresponding set of 27 Hermite polynomials (up to the sixth order) for the derivation of both the discrete equilibrium state and the forcing term. The present methodology is more consistent than previous approaches, as it properly explains how to derive Galilean invariant CMs of the forcing term in an a priori manner. Furthermore, while keeping the numerical properties of the original CM-LBM, the present work leads to a compact and simple algorithm, representing a universal methodology based on CMs and external forcing within the lattice Boltzmann framework. To support these statements, mathematical derivations and a comparative study with six other forcing schemes are provided. The universal nature of the proposed methodology is eventually proved through the simulation of single phase, multiphase (using both pseudo-potential and color-gradient formulations), as well as, magnetohydrodynamic flows.

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Effect of magnetic fields on the formation process of micro- and nanostructures in metals and high-entropy alloys molten

Невский

Sarychev

Melekhov

et al. 2022

Proceedings of the International Conference “Physical Mesomechanics. Materials With Multilevel Hierarchical Structure and Intel

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Thermocapillary convection due to imposed interfacial heating in the presence of magnetic field

Cited by 3 publications

References 25 publications

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

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

Three-dimensional central-moments-based lattice Boltzmann method with external forcing: A consistent, concise and universal formulation

Effect of magnetic fields on the formation process of micro- and nanostructures in metals and high-entropy alloys molten

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