Boundary layer flow of a dusty fluid over a semi-infinite flat plate

Datta, N.; Mishra, Saroj Kumar

doi:10.1007/bf01176514

Cited by 101 publications

(58 citation statements)

References 2 publications

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“…For example, using Marble's [17] model to analyze steady, incompressible, boundary-layer two-phase flow over a semi-infinite plate resulted in a singularity in the particle-phase density at the plate surface (see [6,19]) which violates the small volume fraction assumption in the model. In this case, a more comprehensive theory is needed to deal with such discontinuities.…”

Section: X2mentioning

confidence: 99%

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Compressible two-phase boundary-layer flow with finite particulate volume fraction

Chamkha

1996

International Journal of Engineering Science

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Abstn~--A continuum mathematical model governing compressible boundary-layer fluid-particle flow and heat transfer over a semi-infinite flat plate is developed. This model is based on separate balance laws of mass, linear momentum, and energy for both phases and allows for finite particle-phase volume fraction and viscous stresses. It is found that the volume fraction of suspended particles and, therefore, the particle-phase density is uniform in the boundary layer. Using this fact, the governing nonlinear partial differential equations are simplified and solved numerically by an iterative finite-difference method. Graphical results for flow and heat transfer properties are presented for various values of the particle-fluid viscosity ratio and the power index parameter for the viscosity-temperature relation.

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Section: X2mentioning

confidence: 99%

“…Some solved the problem using the series method [5,6], others used the integral method [7,8], and others employed finitedifference methods [9,10]. The compressible version of the same problem has been solved by Singleton [11], and Wang and Glass [12], and Chamkha [13].…”

Section: Introductionmentioning

confidence: 99%

Compressible two-phase boundary-layer flow with finite particulate volume fraction

Chamkha

1996

International Journal of Engineering Science

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“…Further, Mohan Krishna et al (2013) have discussed the flow of a dusty viscous fluid in the presence of transverse magnetic field with first order chemical reaction. Datta and Mishra (1982) presented the boundary layer flow of a dusty fluid over a semi-infinite flat plate along with the drag force. Due to these applications, a number of theoretical and experimental studies have been carried out by numerous researchers on dusty fluid (see (Palani and Ganesan 2007;Ramesh et al 2017;Kumar et al 2017aKumar et al , 2017dMakinde et al 2017)).…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Kumar

Gireesha

Gorla

2018

Int J Mech Mater Eng

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Background: This paper explores the impact of thermal radiation on boundary layer flow of dusty hyperbolic tangent fluid over a stretching sheet in the presence of magnetic field. The flow is generated by the action of two equal and opposite. A uniform magnetic field is imposed along the y-axis and the sheet being stretched with the velocity along the x-axis. The number density is assumed to be constant and volume fraction of dust particles is neglected. The fluid and dust particles motions are coupled only through drag and heat transfer between them. Methods: The method of solution involves similarity transformation which reduces the partial differential equations into a non-linear ordinary differential equation. These non-linear ordinary differential equations have been solved by applying Runge-Kutta-Fehlberg forth-fifth order method (RKF45 Method) with help of shooting technique. Results: The velocity and temperature profile for each fluid and dust phase are aforethought to research the influence of assorted flow dominant parameters. The numerical values for skin friction coefficient and Nusselt number are maintained in Tables 3 and 4. The numerical results of a present investigation are compared with previous published results and located to be sensible agreement as shown in Tables 1 and 2. Conclusion: It is scrutinized that, the temperature profile and corresponding boundary layer thickness was depressed by uplifting the Prandtl number. Further, an increase in the thermal boundary layer thickness and decrease in momentum boundary layer thickness was observed for the increasing values of the magnetic parameter.

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“…Using the Saffman (1962) model, Soundalgekar andGokhale (1984) studied the flow of a dusty gas past an impulsively started infinite vertical plate by employing an implicit finite difference technique. Datta and Mishra (1982) have analyzed the boundary layer flow of a dusty fluid over a semi-infinite flat plate. Later, Das et al (1992) studied the flow of a dusty gas past a uniformly accelerated horizontal plate.…”

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confidence: 99%

Thermal analysis of conducting dusty fluid flow in a porous medium over a stretching cylinder in the presence of non-uniform source/sink

Manjunatha

Gireesha

Prasannakumara³

2014

Int J Mech Mater Eng

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Background:The principle aim of the present investigation is to study the heat transfer analysis of steady two dimensional flow of conducting dusty fluid over a stretching cylinder immersed in a porous media under the influence of non-uniform source/sink. Methods: Governing partial differential equations are reduced into coupled non-linear ordinary differential equations using suitable similarity transformations. The resulting system of equations are then solved Numerically with efficient Runge Kutta Fehlberg-45 Method. Results: Graphical display of the obtained numerical solution is performed to illustrate the influence of various flow controlling parameters like curvature parameter, magnetic parameter, porous parameter, Prandtl number, heat source/sink parameter, fluid-particle interaction parameter on velocity and temperature distributions of both fluid and dust phases. The numerical results for the skin-friction coefficient and Nusselt number are also presented. Finally, the obtained numerical solutions are compared and found to be in good agreement with previously published results under special cases. Conclusion:The velocity within the boundary layer in the case of cylinder is larger than the flat surface and both the magnitude of the skin friction coefficient and heat transfer rate at the surface are higher for cylinder when compared to that of flat plate.

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Boundary layer flow of a dusty fluid over a semi-infinite flat plate

Cited by 101 publications

References 2 publications

Compressible two-phase boundary-layer flow with finite particulate volume fraction

Compressible two-phase boundary-layer flow with finite particulate volume fraction

Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Thermal analysis of conducting dusty fluid flow in a porous medium over a stretching cylinder in the presence of non-uniform source/sink

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