A Numerical Thermophoretic Model for Nanoparticle Deposition in an Aerosol Sampling Probe

Janakiraman, Arun; Isaac, Kakkattukuzhy M.; Whitefield, Philip D.; Hagen, Donald E.

doi:10.2514/6.2005-5351

Cited by 7 publications

(5 citation statements)

References 13 publications

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“…( 1) is extended to represent some of the most fundamental phenomena which include the transport of heat, mass, and momentum [13,14]. It is extremely important to model and describe the phenomena in various engineering disciplines, aviation, meteorology, and physical sciences [13][14][15][16][17][18][19][20][21][22][23][24][25]. The mathematical framework for heat and mass transfer are of same kind, and basically encompassed by advection and diffusion effects.…”

Section: Convection-diffusion Modelmentioning

confidence: 99%

A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh

Abdullah

2023

ARFMTS

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Owing to its fundamental nature, convection-diffusion flows are researched in a number of engineering, scientific, and aeronautical applications. The right meshing approaches are necessary for convection-diffusion simulations. Major meshes in computational fluid dynamics that are used to find the solutions to discretized governing equations include uniform, piecewise-uniform, graded, and hybrid meshes. Unintentionally applying the meshes might lead to poor solutions including numerical oscillations, over- or under-predictions, and lengthy computing time. Accentuating the effectiveness of exponentially graded mesh finite-difference scheme, this paper takes the simulation of a 2D steady scalar convection-diffusion into account. The problem was solved by assigning certain mesh expansion factor to the mesh according to Peclet number. The factor was determined based on its previously derived logarithmically linear relationship with low Peclet number. Based on the values of Peclet number and the source, eight groups of test cases are presented in this paper. It was found that given a Peclet and a mesh number, simulation error percentage was surprisingly constant regardless the source values. The rates of convergence for the scheme, however, were comparable with respect to source values. Uniform convergence rate was also found to be achievable in all test cases corresponding to Peclet number of interests. This work successfully assessed the validity range of the generalized logarithmically linear model between exponentially graded mesh expansion factor and Peclet number for the simulation.

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Section: Convection-diffusion Modelmentioning

confidence: 99%

A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh

Abdullah

2023

ARFMTS

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“…Equations such as Laplace's and Poisson's that govern electric and magnetic fields can also be solved by using this framework in a coupled manner and made part of the overall solution. Using this approach we have successfully solved a wide range of problems including adsorption, combustion (11), multiphase flow (12) and thermophoresis (13). Figure 3 shows a flow diagram of the major steps in the solution.…”

Section: Simulationmentioning

confidence: 99%

Modeling and Numerical Simulation of Magnetic Field Coupled Electrochemical Processes

2008

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The equations of the electrochemical magnetohydrodynamic problem were numerically solved in a coupled manner for a twodimensional model problem. Using potentiostatic mode of operation with appropriate boundary conditions, we simulated the interplay of Lorentz forces, convection and concentration distribution under the Butler-Volmer electrode kinetics of a redox couple. The evolution of the flow field over 150 seconds shows the gradual development of a vortex structure. The concentration contours show strong effect of magnetoconvection caused by the Lorentz force.

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“…In fluid mechanics, the most fundamental phenomena include the transport of heat, mass and momentum since it is a universally and fundamentally natural problem [1,2]. It is extremely important to model and describe the phenomena in various engineering disciplines [3,4], aviation [5][6][7][8][9][10], meteorology, and physical sciences [1,2,11,12]. The mathematical framework for heat and mass transfer are of same kind, and basically encompassed by advection and diffusion effects.…”

Section: Introduction 11 Engineering Applicationsmentioning

confidence: 99%

“…Invasive sampling of jet engine exhaust gases is another use in aviation where particle losses due to convection, diffusion, and thermophoresis inside a particulate probe are studied and measured [9]. Additionally, the equation may be used to describe how well hot fluid injection works to melt ice off aircraft wings when combined with a nonlinear singular integro-differential equation and Stefan condition [10].…”

Section: Introduction 11 Engineering Applicationsmentioning

confidence: 99%

Effect of Graded Mesh Number on the Solution of Convection-Diffusion Flow Problem with Quadratic Source

Abdullah

2023

ARFMTS

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Convection-diffusion phenomena are fundamentally modelled in a variety of engineering fields and physical sciences. A suitable meshing strategy is needed in computational fluid dynamics to solve model problems numerically. Unintentional implementation of the approach could lead to subpar solutions such as erroneous oscillations, over- or under-predictions, and excessive computing time. This paper highlights the significance of the influence of mesh structure on the solution of convection-diffusion flow problem with quadratic source for flow parameters of interest. Particularly, it presents the accuracy of the solution of the flow problem at low Peclet number with respect to graded mesh number, where the expansion factor used is based on an established linear logarithmic model involving Peclet number derived in previous works. The problem is solved by assigning several mesh intervals to graded mesh against each Peclet number of interest. Based on the values of the interval and Peclet number, 16 test cases are considered. Quantitative results lead to orders of accuracy of the solution of the flow problem. The effect of graded mesh number on the accuracy thus serves as a reference for a more structured decision-making and improves the heuristic process in choosing the computational domain mesh with expected order of accuracy for the numerical solution of the problem particularly in the calculation of scalar concentration. The orders of accuracy confirm the profiles of concentration.

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A Numerical Thermophoretic Model for Nanoparticle Deposition in an Aerosol Sampling Probe

Cited by 7 publications

References 13 publications

A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh

A Simulation Method of 2D Steady Scalar Convection-Diffusion Flow on an Exponentially Graded Mesh

Modeling and Numerical Simulation of Magnetic Field Coupled Electrochemical Processes

Effect of Graded Mesh Number on the Solution of Convection-Diffusion Flow Problem with Quadratic Source

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