Particulate viscous effects on the compressible boundary-layer two-phase flow over a flat plate

Chamkha, Ali J.

doi:10.1016/s0735-1933(98)00015-3

Cited by 7 publications

(5 citation statements)

References 14 publications

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“…Both fluid-particle phases are also assumed to behave as interacting continua. Besides, the interaction between the solid particles and the fluid is described by the Stokes linear drag HFF 28,6 force and other possible interactions such as the virtual force, the shear lift force and the spin-lift force will be ignored (Chamkha, 1998).…”

Section: Problem Formulationmentioning

confidence: 99%

Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect

Hamid

Pop

2018

HFF

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Purpose This present aims to present the numerical study of the unsteady stretching/shrinking flow of a fluid-particle suspension in the presence of the constant suction and dust particle slip on the surface. Design/methodology/approach The governing partial differential equations for the two phases flows of the fluid and the dust particles are reduced to the pertinent ordinary differential equations using a similarity transformation. The numerical results are obtained using the bvp4c function in the Matlab software. Findings The results revealed that in the decelerating shrinking flow, the wall skin friction is higher in the dusty fluid when compared to the clean fluid. In addition, the effect of the fluid-particle interaction parameter to the fluid-phase can be seen more clearly in the shrinking flow. Other non-dimensional physical parameters such as the unsteadiness parameter, the mass suction parameter, the viscosity ratio parameter, the particle slip parameter and the particle loading parameter are also considered and presented in figures. Further, the second solution is discovered in this problem and the solution expanded with higher unsteadiness and suction values. Hence, the stability analysis is performed, and it is confirmed that the second solution is unstable. Practical implications In practice, the flow conditions are commonly varying with time; thus, the study of the unsteady flow is very crucial and useful. The problem of unsteady flow of a dusty fluid has a wide range of possible applications such as in the centrifugal separation of particles, sedimentation and underground disposable of radioactive waste materials. Originality/value Even though the problem of dusty fluid has been broadly investigated, limited discoveries can be found over an unsteady shrinking flow. Indeed, this paper managed to obtain the second (dual) solutions, and stability analysis is performed. Furthermore, the authors also considered the artificial particle-phase viscosity, which is an important term to study the particle-particle and particle-wall interactions. With the addition of this term, the effects of the particle slip and suction parameters can be investigated. Very few studies in the dusty fluid embedded this parameter in their problems.

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Section: Problem Formulationmentioning

confidence: 99%

Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect

Hamid

Pop

2018

HFF

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“…The dust particles are assumed to be spherical in shape and uniform in size, and the number density of the dust particle is taken as a constant throughout the flow. The basic boundary layer equations of the two-HFF 27,4 dimensional flow in the usual notations are (Hamdan and Barron, 1990;Chamkha, 1998;Ramesh and Gireesha, 2013) as follows:…”

Section: Problem Formulationmentioning

confidence: 99%

Boundary layer flow of a dusty fluid over a permeable shrinking surface

Hamid

Pop

2017

HFF

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Purpose The purpose of this paper is to numerically study the boundary layer problem for the case of two-dimensional flow of dusty fluid over a shrinking surface in the presence of the fluid suction at the surface. Design/methodology/approach The governing equations of the problem are reduced to the system of ordinary differential equations using the similarity transformation and then solved using the bvp4c method in the Matlab software. Findings The effects of the drag coefficient parameter L, the fluid–particle interaction parameter δ, the suction parameter s and the particle loading parameter ω on the flow of the permeable shrinking sheet are investigated. It is found that the aforementioned parameters have different effects in the shrinking sheet flow. This study has also succeeded in discovering the second solution, and through the stability analysis, it is suggested that the solution is unstable and not physically realizable in practice. Practical implications The current findings add to a growing body of literature on the boundary layer problem in the dusty fluid. The dusty fluid is significant in various practical applications such as in the transporting suspended powdered materials through pipes, propulsion and combustion in rockets, the flow of blood in arteries, wastewater treatment and as corrosive particles in engine oil flow. Originality/value Even though the dusty fluid problem has been extensively studied in the flow of the stretching sheet, limited findings can be found over a shrinking flow. In fact, this is the first study to discover the second solution in the dusty fluid problem.

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“…Again, due to the presence of dust particles, the fluid phase surface heat transfer decreases, which was studied by Chamkha. 7 Misra and Tripathy 8 investigated the effect of electrification of particles in the modeling of boundary layer flow on the top of a horizontal flat plate and observed that particles move faster with increasing temperature. Again, heat transfer from the fluid to plate is always carried out.…”

Section: Introductionmentioning

confidence: 99%

“…The solution is valid through the whole length of the plate and heat flow occurs from plate to fluid throughout the region. From the literature, [1][2][3][4][5][6][7][8][9][10][11][12] it is clear that the flow characteristics are significantly affected by the presence of dust particles and, hence, boundary layer flow analysis with a suspension of particles draws much more attention at the present time. Again, the heat transfer analysis in boundary layer flows along a continuously stretching surface with a buoyant force focused on industrial areas and many manufacturing processes, such as hot rolling and paper industries, cooling of metallic sheets, and aerodynamics extrusion of plastic sheets.…”

Section: Introductionmentioning

confidence: 99%

“…Again, various forces arise due to the inclusion of dust particles in the flow and they play a vital role in controlling the heat transfer rate, as reported by previous researchers. [1][2][3][4][5][6][7][8][9][10][11][12] Hence, the study of thermal convective boundary layer flow over a stretching sheet draws significant attention in the recent decades. At first, Sakiadis 13,14 analyzed the boundary layer flow over continuous cylindrical and flat surfaces to explain all the above applications.…”

Section: Introductionmentioning

confidence: 99%

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Radiation effect on convective boundary layer dusty flow over a stretching surface

Tripathy,

Samantara,

Kanungo

2024

AIP Advances

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The effect of radiation evolved from fluids and particles on a convective balanced boundary layer dusty fluid flow model has been analyzed over a vertical stretching surface. Models are available with the consideration of radiation and viscous dissipation in fluid phase only. However, an equal and opposite reaction/force is also developed in the particle/dust phase, which was not taken into account in the previous literature. So, this paper investigates a model where the radiation and viscous dissipation are coupled through both the fluid and particle phase equations. A linear stretching of surface generates the boundary layer flow. By the help of suitable similar transformation, the prevailing equations are transferred to ordinary non-linear differential equations of order three and are solved numerically by the bvp4c method of MATLAB. An analysis has been performed to show the effectiveness of different thermophysical parameters on different boundary layer characteristics. The numerical results are in good agreement with the past literature, validating the present method and result. Graphs are plotted for different flow characteristics to explore the physics of problem.

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Particulate viscous effects on the compressible boundary-layer two-phase flow over a flat plate

Cited by 7 publications

References 14 publications

Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect

Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect

Boundary layer flow of a dusty fluid over a permeable shrinking surface

Radiation effect on convective boundary layer dusty flow over a stretching surface

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