Swirling flow of Bingham fluids above a rotating disk: An exact solution

Ahmadpour, Ali; Sadeghy, Kayvan

doi:10.1016/j.jnnfm.2013.03.001

Cited by 48 publications

(32 citation statements)

References 14 publications

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“…In this study, the fluid of interest is Bingham plastic fluid, a well‐known representation of yield stress fluids, proposed by Bingham 27,28 . Yield stress fluids are observed in a wide range of circumstances both in the environment and industry 6,29–33 . Bingham plastic fluid exhibits a linear stress‐strain relationship, unlike Casson and Herschel‐Bulkley fluids, once the yield stress is surpassed.…”

Section: Mathematical Representation Of Fluid Modelmentioning

confidence: 99%

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Khan

Sultan

2020

Heat Trans

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This article presents flow, heat and mass transfer phenomena in Bingham plastic fluid. The flow channel is considered to be a rotating disk with a slip which is different in span and streamwise directions, and heat transfer is investigated using dissipation term of the fluid. Arrhenius activation energy and binary chemical reaction are the imperative features of the study of mass transfer. Bingham plastic fluid and anisotropic slip arethe key factors of the study due to their numerous applications in manufacturing industries. On the other hand, the radiative heat transfer phenomenon is considered which is widely used in nuclear and power generating systems. The partial differential equations that govern the flow, and heat and mass transfer are converted into ordinary differential equations by utilizing von Kármán's similarity transformation for rotating disk flows. The velocity, temperature, and concentration profiles and some important physical quantities are examined against important flow parameters. It is observed that the thermal radiation showed an increasing effect on temperature profile and the activation energy enhanced the mass transfer rate. The radial slip increased the volumetric flow rate and reduced the boundary layer thickness. The tangential slip reduced the volumetric flow rate and increased the boundary layer thickness. K E Y W O R D S activation energy, anisotropic slip, Bingham fluid, rotating disk, thermal radiation | INTRODUCTIONThe motivation for investigating the flows due to rotating disk drives from their occurrence in various real-world phenomena like aerospace engineering, centrifugal pumps, rotational air cleaners, gas turbine engineering, computer storage devices, turbomachinery, and chemical engineering. This area of research was initially explored by Kármán 1 in which he proposed a similarity transformation for flows over a rotating disk. Some of the recent research in this area focused on the flow of different non-Newtonian fluids under various flow conditions. [2][3][4][5][6][7][8] In 1889, Arrhenius 9 introduced the term activation energy; the minimum energy that a chemical system with potential reactants requires to produce a chemical reaction. The phenomenon of chemical reaction in the mass transfer has attracted a great deal of interest due to its numerous applications in geothermal engineering, oil reservoir, nuclear reactor cooling, and chemical engineering, and so on. All of these applications include the collective effect of binary chemically reactive species and Arrhenius activation energy. The idea of boundary layer fluid flow under the influence of activation energy and binary chemical reaction attracted the attention of many researchers in the last decade, whereas, this concept was disclosed by Bestman 10 in 1990. Some of the recent research studies on the topic are Ijaz, 2 Dhlamini et al, 11 Majeed et al, 12 and Kiran Kumar et al. 13 The radiative heat transfer phenomenon has gained massive attention due to numerous applications of radiative effect. It is mainly use...

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Section: Mathematical Representation Of Fluid Modelmentioning

confidence: 99%

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Khan

Sultan

2020

Heat Trans

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“…The two-phase flow was described as an interpenetrating continua, and volume fractions α q were introduced to represent the space occupied by each phase [44][45].…”

Section: Volume Fractionsmentioning

confidence: 99%

“…Drag coefficient is of crucial importance for the simulation of the heterogeneous gassolid flow [44][45]. And the Schiller and Naumann model is selected as the default method, which is acceptable for general use in all fluid-fluid multiphase calculations.…”

Section: Interaction Between Fluid-solidmentioning

confidence: 99%

Investigating Water Permeation through the Soil-Rock Mixture in Underground Engineering

Wang¹,

Meng²,

Geng³

et al. 2017

Pol. J. Environ. Stud.

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Groundwater inrush within faults is an important issue in underground engineering. The process of water permeation through the soil-rock mixture has been numerically investigated. The simulated soil-rock mixture was presented with rock blocks, and filled with selected types of soil particles. The Euler-Euler method was employed with multiphase interaction. Meanwhile, the filling soil was assumed to be Bingham fluid with additional user-defined function. Then the detailed evolutions of water permeation through the soil-rock mixture were presented visually, including water distribution, water velocity field, permeation time, and penetration time. It is shown that water permeation changes with time and space in the soil-rock mixture, and the overall process of water permeation can be divided into three different stages. Moreover, major variables including water velocity, size of soil particles, and yield stress of soil were considered, which clearly influenced water permeation. Soil density showed little effect on water permeation, and the permeation time decreases with increasing water velocity. Water permeation through the soil-rock mixture is easier when the filling soil consists of smaller particles. The permeation rate of water obviously decreases with increasing yield stress. Meanwhile, different types of soils were considered with corrections on the dynamic viscosities. We found that sand and soil behave differently when water permeates through the soilrock mixture. Furthermore, selected results on water permeation were compared with the relevant studies, and reasonable agreements were reached. The presented stimulation results provide detailed information for further understanding on the mechanical mechanism of water permeation through the soil-rock mixture used in underground engineering.

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“…The magneto hydrodynamic flow of electrically conducting Jeffrey fluid due to rotating disk was considered by Hayat et al [14]. An exact solution for swirling flow of Bingham fluids above a rotating disk was established by Ahmadpour and Sadeghy [15]. The unsteady ferro fluid flow due to a rotating disk was considered between highly oscillating magnetic field and magnetization and the effect of phase difference on its velocity components were analyzed by Ram and Bhandari [16].…”

Section: Introductionmentioning

confidence: 99%

Analytic Approximate Solutions and Numerical Results for Stagnation Point Flow of Jeffrey Fluid Towards an Off-Centered Rotating Disk

Khan

Riaz

2014

J. mech.

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The present paper studies the three-dimensional, off centered stagnation flow of a Jeffrey fluid over a rotating disk. The governing non-linear equations and their associated boundary conditions are transformed into coupled ordinary differential equations by utilizing an appropriate similarity transformation. Homotopy analysis method is utilized to evaluate the analytical solution in the form of infinite series. Also, the convergence region of the obtained solution is determined and plotted. The effects of pertaining parameters on radial, azimuthal and induced velocities of the fluid flow are presented graphically and discussed. Moreover comparisons have also been made with the previous results as a special case.

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Swirling flow of Bingham fluids above a rotating disk: An exact solution

Cited by 48 publications

References 14 publications

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Binary chemical reaction with activation energy in radiative rotating disk flow of Bingham plastic fluid

Investigating Water Permeation through the Soil-Rock Mixture in Underground Engineering

Analytic Approximate Solutions and Numerical Results for Stagnation Point Flow of Jeffrey Fluid Towards an Off-Centered Rotating Disk

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