Radiation Effects in Flow through Porous Medium over a Rotating Disk with Variable Fluid Properties

Jain, Shalini; Bohra, Shweta

doi:10.1155/2016/9671513

Cited by 10 publications

(6 citation statements)

References 38 publications

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“…The flow affected by the horizontal magnetic field, and all the above assumptions of the governing equations in the cylindrical coordinate system, lead to the following expressions (see Mackolil and Mahanthesh [ 12 ], Khan et al [ 26 ] and Turkyilmazoglu [ 36 ]):

where

represents the radiative heat flux. Using Rosseland approximation (see Jain and Bohra [ 39 ])

is expressed as follows:

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Aspects of Uniform Horizontal Magnetic Field and Nanoparticle Aggregation in the Flow of Nanofluid with Melting Heat Transfer

et al. 2022

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The current exploration focuses on the impact of homogeneous and heterogeneous chemical reactions on titanium dioxide-ethylene glycol (EG)-based nanoliquid flow over a rotating disk with thermal radiation. In this paper, a horizontal uniform magnetic field is used to regularise the flow field produced by a rotating disk. Further, we conduct a comparative study on fluid flow with and without aggregation. Suitable transformations are used to convert the governing partial differential equations (PDEs) into ordinary differential equations (ODEs). Later, the attained system is solved numerically by means of the shooting method in conjunction with the Runge–Kutta–Fehlberg fourth-fifth-order method (RKF-45). The outcome reveals that the fluid flow without nanoparticle aggregation shows enhanced heat transport than for augmented values of melting parameter. Furthermore, for augmented values of strength of homogeneous and heterogeneous reaction parameters, the mass transfer is greater in fluid flow with aggregation conditions.

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where

represents the radiative heat flux. Using Rosseland approximation (see Jain and Bohra [ 39 ])

is expressed as follows:

…”

Section: Mathematical Formulationmentioning

confidence: 99%

Aspects of Uniform Horizontal Magnetic Field and Nanoparticle Aggregation in the Flow of Nanofluid with Melting Heat Transfer

et al. 2022

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“…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 2–8 …”

Section: Introductionmentioning

confidence: 99%

“…Ara et al 15 considered the exponentially shrinking sheet to investigate the Eyring‐Powell fluid flow under the influence of thermal radiation. Jain and Bohra 8 explored the thermal radiation effect on the viscous fluid flow over a rotating disk. Recently, Mustafa et al 7 have presented the effect of nonlinear radiation on swirling flow due to rotating disk.…”

Section: Introductionmentioning

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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“…The radiation effect has an important role in the context of space technology and in the processes involving high temperatures. Jain and Bohra [17,18] studied fluid flow and heat transfer over a rotating disk and rotating channel through a porous medium with radiation effect and in different conditions. Abbas et al [19] analyzed the radiation effect on a laminar MHD viscous fluid flow over a stretching cylinder in porous medium.…”

Section: Introductionmentioning

confidence: 99%

Entropy Generation on MHD Slip Flow Over a Stretching Cylinder with Heat Generation/Absorption

Jain

Bohra

2018

International Journal of Applied Mechanics and Engineering

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In the present study, we have investigated entropy generation on a magnetohydrodynamic fluid flow and heat transfer over a stretching cylinder with a porous medium in slip flow regime. A uniform heat source and radiation is also considered. Similarity transformation has been applied for making an ordinary differential equation from nonlinear governing partial differential equations. The numerical solution for the set of nonlinear ordinary differential equations has been obtained by using the fourth-order Runge-Kutta scheme together with the shooting method. The effects of pertinent parameters such as the magnetic field parameter, permeability parameter, slip parameter, Prandtl number and radiation parameter on the fluid velocity distribution, temperature distribution, entropy generation and Bejan number are discussed graphically.

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Radiation Effects in Flow through Porous Medium over a Rotating Disk with Variable Fluid Properties

Cited by 10 publications

References 38 publications

Aspects of Uniform Horizontal Magnetic Field and Nanoparticle Aggregation in the Flow of Nanofluid with Melting Heat Transfer

Aspects of Uniform Horizontal Magnetic Field and Nanoparticle Aggregation in the Flow of Nanofluid with Melting Heat Transfer

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

Entropy Generation on MHD Slip Flow Over a Stretching Cylinder with Heat Generation/Absorption

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