Entrance Region Flow of Casson Fluid in a Circular Tube

Kandasamy, A.; Pai, Rekha G.

doi:10.4028/www.scientific.net/amm.110-116.698

Cited by 10 publications

(2 citation statements)

References 7 publications

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“…It becomes the preferred rheological model for blood and chocolate (Singh [29]). Casson fluid exhibits a yield stress (Nadeem et al [30], Kandasamy and Pai [31]). If a shear stress less than the yield stress is applied to the fluid, it behaves like a solid whereas if a shear stress greater than the yield stress is applied, it starts to move (Eldabe and Salwa [32], Dash et al [33]).…”

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Casson fluid flow and heat transfer past a symmetric wedge

Mukhopadhyay

Mondal

Chamkha

2013

Heat Trans. Asian Res.

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Boundary‐layer forced convection flow of a Casson fluid past a symmetric wedge is investigated. Similarity transformations are used to convert the governing partial differential equations to ordinary ones and the reduced equations are then solved numerically with the help of the shooting method. Comparisons with various previously published works on special cases are performed and the results are found to be in excellent agreement. A representative set of graphical results is obtained and illustrated graphically. The velocity is found to increase with an increasing Falkner–Skan exponent whereas the temperature decreases. With the rise of the Casson fluid parameter, the fluid velocity increases but the temperature is found to decrease in this case. The skin friction decreases with increasing values of the Casson fluid parameter. It is found that the temperature decreases as the Prandtl number increases and thermal boundary layer thickness decreases with increasing values of the Prandtl number. A significant finding of this investigation is that flow separation can be controlled by increasing the value of the Casson fluid parameter. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res, 42(8): 665–675, 2013; Published online in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21065

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Casson fluid flow and heat transfer past a symmetric wedge

Mukhopadhyay

Mondal

Chamkha

2013

Heat Trans. Asian Res.

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“…Previous authors have analysed such non -Newtonian fluids flow at the entrance region by changing the geometry and considered the core formation at the entrance region [1][2][3][4][5][6][7][8][9][10]. Kandasamy and Pai [11] have analysed the flow of Casson fluid in a circular tube at the entrance region. Ree-Eyring non-Newtonian model was used by Vaidya et al, [12] to study the blood flow in small arteries by taking convective and wall properties into consideration.…”

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Core Variation of a Non-Newtonian Fluid in an Annular Cylinder

Pai

2023

ARFMTS

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The objective of the paper is to investigate the variation of core thickness of a non-Newtonian fluid in an annular cylinder at the entrance region. It is derived numerically, with no prior assumptions on the form of the Velocity profile. The thickness of the core is examined at each cross section of annuli for various values of Bingham number and aspect ratio by applying mass balance equation. The effect of various parameters on the flow rate are obtained graphically. The examination incorporates Bingham plastic fluids, Casson and Herschel-Bulkley fluid. The administering equations are solved using an iterative procedure by converting non-linear algebraic equation, expressing the variation in pressure in terms of core thickness obtained using the mass balance equation and plug core velocities along the boundary layers. The core thickness is obtained numerically by solving this equation using an iterative procedure. MATLAB programming tool has been employed to get the graphical variation of core thickness for different values of aspect ratio. The comparisons have been made between the obtained results and the results of Casson and Herschel-Bulkley fluids. Also, we find excellent agreement between our numerical results and the results available in literature.

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Bejan's flow visualization of buoyancy-driven flow of a hydromagnetic Casson fluid from an isothermal wavy surface

Kumar

Mondal

2021

Physics of Fluids

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The proposed work numerically investigates the buoyancy-driven flow of Casson fluid from a vertical wavy surface under the influence of a magnetic field and evaluates the underlying transport of heat in the free convective regime both quantitatively and qualitatively. Pertaining to this analysis, the primitive forms of coupled non-linear partial differential equations are evaluated with the help of an efficient and straightforward Crank–Nicolson implicit finite difference technique. By representing the graphical plots of flow velocity, temperature, and friction-factor coefficients, obtained for different physical parametric values pertinent to this analysis, we discuss the influence of the Hartmann number, surface waviness parameter, and rheological parameter of the fluid on the underlying thermohydrodynamics. In addition to the isotherm and streamline plots, by demonstrating the functional form, we discuss an extensive flow visualization technique that provides unique heat flow visualization for the wavy surface based on Bejan's heat function concept. The results indicate that for increasing the magnitude of the magnetic parameter, the evolution of isotherms, streamlines, and heatlines deviates periodically with a higher amplitude, which signifies the transfer of high heat energy as well as the efficient transport of heat in the convective regime.

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Entrance Region Flow of Casson Fluid in a Circular Tube

Cited by 10 publications

References 7 publications

Casson fluid flow and heat transfer past a symmetric wedge

Casson fluid flow and heat transfer past a symmetric wedge

Core Variation of a Non-Newtonian Fluid in an Annular Cylinder

Bejan's flow visualization of buoyancy-driven flow of a hydromagnetic Casson fluid from an isothermal wavy surface

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