Combined effects of thermophoresis and electrophoresis on particle deposition onto a vertical flat plate from mixed convection flow through a porous medium

Tsai, R.; Huang, Jiansheng

doi:10.1016/j.cej.2009.10.046

Cited by 17 publications

(14 citation statements)

References 24 publications

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“…Following Shen [7], values of k are based on experimental values of C s , C t , C m and C c and also Kn can be specified in thermophoretic simulations. C s = 1.147, C t = 2.20 and C m = 1.146, C c = 1 + Kn[C 1 + C 2 exp(−C 3 /Kn)], with C 1 = 1.2, C 2 = 0.41, C 3 = 0.88 [22] and Kn = 0.14.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In the range 0.1 ≤ Kn ≤ 1.0, termed the slip flow regime, it is sometimes possible to obtain useful results by treating the gas as a continuum, but allowing for discontinuities in velocity and temperature at solid boundaries. The value of k can be taken as ranging from 0.2 to 1.2, a representative value for particle smaller than 1 μm is 0.5 [22], we have adopted this value in our study. The thermophoretic force is a strong function of Kn and is defined by…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Grosan et al [21] realized a theoretical analysis for thermophoretic transport of small particles through a fully developed laminar, mixed convection flow in a parallel vertical channel. Tsai and Huang [22] presented a theoretical study on aerosol particles responding to thermophoresis, electrophoresis and the particle deposition rate onto a vertical flat wall with wall heat flux in a porous medium using the non-Darcian model. Many numerical studies investigating magnetohydrodynamic heat (and mass) transfer have been reported with buoyancy, heat source/sink and also Joule heating effects.…”

Section: Introductionmentioning

confidence: 99%

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Effects of thermophoresis particle deposition and of the thermal conductivity in a porous plate with dissipative heat and mass transfer

2011

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Network simulation method (NSM) is used to solve the laminar heat and mass transfer of an electricallyconducting, heat generating/absorbing fluid past a perforated horizontal surface in the presence of viscous and Joule heating problem. The governing partial differential equations are non-dimensionalized and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable, η. The resulting coupled, nonlinear equations are solved under appropriate transformed boundary conditions. Computations are performed for a wide range of the governing flow parameters, viz Prandtl number, thermophoretic coefficient (a function of Knudsen number), thermal conductivity parameter, wall transpiration parameter and Schmidt number. The numerical details are discussed with relevant applications. The present problem finds applications in optical fiber fabrication, aerosol filter precipitators, particle deposition on hydronautical blades, semiconductor wafer design, thermo-electronics and problems including nuclear reactor safety.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of thermophoresis particle deposition and of the thermal conductivity in a porous plate with dissipative heat and mass transfer

2011

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“…Hooman (2008) investigated the same problem using the matched asymptotic expansion method. The boundary layer flow along a plate in a Darcy-Brinkman-Forchheimer porous medium has been investigated by Vafai and Tien (1980), Elbashbeshy (2003), and Tsai and Huang (2010). Compared to the vast scientific literature on the Newtonian fluid flow in porous media (see e.g., Nield and Bejan 2006;Pop and Ingham 2001), the literature on the pertinent nonNewtonian flow in general and the flow of power-law fluids in special, are markedly less abundant.…”

Section: Introductionmentioning

confidence: 98%

Forced Convection Flow of Power-Law Fluids Over a Flat Plate Embedded in a Darcy-Brinkman Porous Medium

Pantokratoras

Magyari

2010

Transp Porous Med

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The steady forced convection flow of a power-law fluid over a horizontal plate embedded in a saturated Darcy-Brinkman porous medium is considered. The flow is driven by a constant pressure gradient. In addition to the convective inertia, also the "porous Forchheimer inertia" effects are taken into account. The pertinent boundary value problem is investigated analytically, as well as numerically by a finite difference method. It is found that far away from the leading edge, the velocity boundary layer always approaches an asymptotic state with identically vanishing transverse component. This holds for pseudoplastic (0 < n < 1), Newtonian (n = 1), and dilatant (n > 1) fluids as well. The asymptotic solution is given for several particular values of the power-law index n in an exact analytical form. The main flow characteristics of physical and engineering interest are discussed in the paper in some detail.Keywords Power-law fluids · Darcy-Brinkman medium · Porous inertia · Steady laminar flow · Asymptotic state · Exact solutions List of symbols C F Forchheimer coefficient Da Darcy number F Forchheimer number K permeability m 2 K * modified permeability m n+1 L length unit (m)

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“…Talbot et al (1980) presented a seminal study, considering boundary layer flow with thermophoretic effects, which has become a benchmark for subsequent studies. Several authors, Duwairi and Damseh 2008), Damseh et al (2009), Mahdy and Hady (2009), Liu et al (2009), Postelnicu (2007), Dinesh and Jayaraj (2009), Grosan et al (2009), Tsai and Huang (2010) have investigated the influence of thermophoresis over a vertical plate, micro-channel, horizontal plate and parallel plate, etc.…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour Effects on Unsteady MHD Heat and Mass Transfer from a Permeable Stretching Sheet with Thermophoresis and Non-Uniform Heat Generation/Absorption

Reddy¹,

Chamkha²

2016

JAFM

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This paper is focused on the study of heat and mass transfer characteristics of an unsteady MHD boundary layer flow through porous medium over a stretching sheet in the presence of thermo-diffusion and diffusionthermo effects with thermophoresis, thermal radiation and non-uniform heat source/sink. The transformed conservation equations are solved numerically subject to the boundary conditions using an optimized, extensively validated, variational finite element analysis. The numerical code is validated with previous studies on special cases of the problem. The influence of important non-dimensional parameters, namely suction parameter (), magnetic parameter (M), unsteadiness parameter (α), Soret parameter (Sr), Dufour parameter (Du) thermophoretic parameter (), space dependent (A1) and temperature dependent parameters (B1) and radiation parameter(An) on the velocity, temperature and concentration fields as well as the skinfriction coefficient, Nusselt number and Sherwood number are examined in detail and the results are shown graphically and in tabular form to know the physical importance of the problem. It is found that the imposition of wall fluid suction (>0) in the flow problem has the effect of depreciating the velocity, temperature and concentration boundary layer thicknesses at every finite value of η. This deceleration in momentum, thermal and concentration profiles is because of the fact that suction is taken away the warm fluid from the surface of the stretching sheet.

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Combined effects of thermophoresis and electrophoresis on particle deposition onto a vertical flat plate from mixed convection flow through a porous medium

Cited by 17 publications

References 24 publications

Effects of thermophoresis particle deposition and of the thermal conductivity in a porous plate with dissipative heat and mass transfer

Effects of thermophoresis particle deposition and of the thermal conductivity in a porous plate with dissipative heat and mass transfer

Forced Convection Flow of Power-Law Fluids Over a Flat Plate Embedded in a Darcy-Brinkman Porous Medium

Soret and Dufour Effects on Unsteady MHD Heat and Mass Transfer from a Permeable Stretching Sheet with Thermophoresis and Non-Uniform Heat Generation/Absorption

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