Theoretical Study of Oldroyd-B Visco-Elastic Fluid Flow Through Curved Pipes with Slip Effects in Polymer Flow Processing

Norouzi, M.; Davoodi, M.; Bég, O. Anwar; Shamshuddin, Md.

doi:10.1007/s40819-018-0541-7

Cited by 28 publications

(18 citation statements)

References 46 publications

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“…The present work has considered the Reiner-Rivlin third-grade non-Newtonian differential model. Future studies will consider alternative rheological models including the Oldroyd-B model [57], single-phase and two-phase Jeffery's viscoelastic models [58,59] and may also consider non-Fourier heat flux models in rheological coating heat transfer [60]. .…”

Section: Discussionmentioning

confidence: 99%

Unsteady free convective heat transfer in third-grade fluid flow from an isothermal vertical plate: A thermodynamic analysis

Hiremath

Reddy

Kumar

et al. 2019

Int. J. Mod. Phys. B

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The current study investigates theoretically and numerically the entropy generation in time-dependent free-convective third-grade viscoelastic fluid convection flow from a vertical plate. The nondimensional conservation equations for mass, momentum and energy are solved using a Crank–Nicolson finite difference method with suitable boundary conditions. Expressions for known values of flow-variables coefficients are also derived for the wall heat transfer and skin friction and numerically evaluated. The effect of Grashof number, Prandtl number, group parameter (product of dimensionless temperature difference and Brinkman number) and third-grade parameter on entropy heat generation is analyzed and shown graphically. Bejan line distributions are also presented for the influence of several control parameters. The computations reveal that with increasing third-grade parameter, the entropy generation decreases and Bejan number increases. Also, the comparison graph shows that contour lines for third-grade fluid vary considerably from the Newtonian fluid. The study is relevant to non-Newtonian thermal materials processing systems.

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Section: Discussionmentioning

confidence: 99%

Unsteady free convective heat transfer in third-grade fluid flow from an isothermal vertical plate: A thermodynamic analysis

Hiremath

Reddy

Kumar

et al. 2019

Int. J. Mod. Phys. B

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“…The current simulations have considered a no‐slip hydrodynamic wall condition for velocity. Future studies will investigate both isotropic and anisotropic hydrodynamic slip and furthermore will also address non‐Fourier heat transfer in non‐Newtonian fluids, for example, viscoelastic fluids, which are of great relevance to rotating disk bioreactor flows in chemical engineering since such systems feature complex fluids. Additionally the current study could be extended to consider variable thickness of the disk, chemical reactions, and magnetohydrodynamics when the working fluids are electrically conducting …”

Section: Discussionmentioning

confidence: 99%

“…The nondimensional ordinary differential Equations along with boundary conditions (14) are initially perturbed into a set of differential equations using the rotational Re as the perturbation parameter (

Re ≪ 1

), following Van Dyke . Defining the expansions for each transformed variable, f , g , p and θ , we have:

\begin{array}{l} f = f_{0} + Re f_{1} + {Re}^{2} f_{2} + o false({Re}^{3} false) \\ g = g_{0} + Re g_{1} + {Re}^{2} g_{2} + o false({Re}^{3} false) \\ p = p_{0} + Re p_{1} + {Re}^{2} p_{2} + o false({Re}^{3} false) \\ θ = θ_{0} + Re θ_{1} + {Re}^{2} θ_{2} + o false({Re}^{3} false) \end{array}} .

…”

Section: Pertubation Solutionmentioning

confidence: 99%

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Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non‐Fourier heat flux model

Shamshuddin

Mishra

Bég

et al. 2018

Heat Trans. Asian Res.

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Nonlinear, steady‐state, viscous flow, and heat transfer between two stretchable rotating disks spinning at dissimilar velocities are studied with a non‐Fourier heat flux model. A nondeformable porous medium is intercalated between the disks and the Darcy model is used to simulate matrix impedance. The conservation equations are formulated in a cylindrical coordinate system and via the von Karman transformations are rendered into a system of coupled, nonlinear ordinary differential equations. The emerging boundary value problem is controlled by number of dimensionless parameters, that is, Prandtl number, upper disk stretching, lower disk stretching, permeability, non‐Fourier thermal relaxation, and relative rotation rate parameters. A perturbation solution is developed and the impact of selected parameters on radial and tangential velocity components, temperature, pressure, lower disk radial, and tangential skin friction components and surface heat transfer rate are visualized graphically. Validation of solutions with the homotopy analysis method is included. Extensive interpretation of the results is presented which are relevant to rotating disk bioreactors in chemical engineering.

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“…Titanium nanoparticles show better results to improve lubricity and rheological features of drilling fluid at 0.6% (w/w) concentration. Viscoelastic fluid passing through the curved pipes with slip boundary conditions has been studied by Norouzi et al 6 They employed the Oldroyd-B scheme to the transport of dilute polymeric solutions in curve pipes, where Weissenberg number and slip coefficients greatly affected the viscoelastic flow. It is found that maximum velocity position changes from pipes center toward the outer side of curvature when increment occurs in slip coefficient.…”

Section: Introductionmentioning

confidence: 99%

Buoyancy effects on nanoliquids film flow through a porous medium with gyrotactic microorganisms and cubic autocatalysis chemical reaction

Zuhra

Khan

Alam

et al. 2014

Advances in Mechanical Engineering

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This article is based on the mathematical model constructed to analyze the simultaneous flow and heat transfer of two nanoliquids (Casson and Williamson) in the presence of gyrotactic microorganisms and cubic autocatalysis chemical reaction through a porous medium under the potentiality of buoyancy forces. Heterogeneous reaction existing on the surface is described by isothermal cubic autocatalytic chemical reaction, whereas homogeneous reaction is taking place at far field described by first-order kinetics. Similarity transformations are used to get the different order differential equations from the governing equations which are solved via an efficient technique namely homotopy analysis method. The effects of all the non-dimensional parameters on velocity, temperature, concentration, and density of motile microorganisms are shown through graphs and elucidated. Velocity increases with the Weissenberg parameter and decreases with the Casson nanofluid parameter in the presence of magnetic field and porous medium. Temperature decreases with the high values of slip condition. The dual behavior of concentration profile for the strength of homogeneous reaction parameter is observed. Flow of microorganisms decreases based on the parameters of porous medium, magnetic field, and heterogeneous chemical reaction. There exists an excellent agreement between the present and published work.

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Theoretical Study of Oldroyd-B Visco-Elastic Fluid Flow Through Curved Pipes with Slip Effects in Polymer Flow Processing

Abstract: N o r o u zi, M , D avoo di, M , B e g, OA a n d S h a m s h u d di n, M D h t t p:// dx.

Cited by 28 publications

References 46 publications

Unsteady free convective heat transfer in third-grade fluid flow from an isothermal vertical plate: A thermodynamic analysis

Unsteady free convective heat transfer in third-grade fluid flow from an isothermal vertical plate: A thermodynamic analysis

Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non‐Fourier heat flux model

Buoyancy effects on nanoliquids film flow through a porous medium with gyrotactic microorganisms and cubic autocatalysis chemical reaction

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