Analysis of the effect of normal stress differences on heat transfer in creeping viscoelastic Dean flow

Norouzi, M.; Davoodi, M.; Bég, O. Anwar; Joneidi, A Amin Ahmadi

doi:10.1016/j.ijthermalsci.2013.02.002

Cited by 39 publications

(18 citation statements)

References 21 publications

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“…This analysis also demonstrates that stable, robust computations are readily achieved with the finite difference code employed and future investigations will examine alternative rheological material models (e.g. viscoelastic fluids with normal stress differences (Norouzi et al 2013)) for peristaltic flows in curved channels. The present computations also provide a good benchmark for commercial computational fluid dynamics codes (e.g.…”

Section: Discussionmentioning

confidence: 76%

Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel

Ali

Javid

Sajid

et al. 2015

Computer Methods in Biomechanics and Biomedical Engineering

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Peristaltic motion of a non-Newtonian Carreau fluid is analyzed in a curved channel under the long wavelength and low Reynolds number assumptions, as a simulation of digestive transport. The flow regime is shown to be governed by a dimensionless fourth-order, nonlinear, ordinary differential equation subject to no-slip wall boundary conditions. A well-tested finite difference method based on an iterative scheme is employed for the solution of the boundary value problem. The important phenomena of pumping and trapping associated with the peristaltic motion are investigated for various values of rheological parameters of Carreau fluid and curvature of the channel. An increase in Weissenberg number is found to generate a small eddy in the vicinity of the lower wall of the channel, which is enhanced with further increase in Weissenberg number. For shear-thinning bio-fluids (power-law rheological index, n < 1) greater Weissenberg number displaces the maximum velocity toward the upper wall. For shear-thickening bio-fluids, the velocity amplitude is enhanced markedly with increasing Weissenberg number.

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Section: Discussionmentioning

confidence: 76%

Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel

Ali

Javid

Sajid

et al. 2015

Computer Methods in Biomechanics and Biomedical Engineering

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“…, second-order Reiner-Rivlin differential fluid models [6], power-law nanoscale models [7], Eringen micro-morphic models [8], Jeffery's viscoelastic model [9] and Eyring-Powell fluid [10].…”

mentioning

confidence: 99%

Magnetohydrodynamic free convection boundary layer flow of non-Newtonian tangent hyperbolic fluid from a vertical permeable cone with variable surface temperature

Gaffar

Prasad²,

Reddy

et al. 2016

J Braz. Soc. Mech. Sci. Eng.

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The nonlinear, non-isothermal steady-state boundary layer flow and heat transfer of an incompressible tangent hyperbolic non-Newtonian (viscoelastic) fluid from a vertical permeable cone with magnetic field are studied. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using the second-order accurate implicit finite difference Keller-box technique. The numerical code is validated with previous studies. The influence of a number of emerging non-dimensional parameters, namely a Weissenberg number (We), rheological power law index (m), surface temperature exponent (n), Prandtl number (Pr), magnetic parameter (M) suction/injection parameter (f w ) and dimensionless tangential coordinate (ξ) on velocity and temperature evolution in the boundary layer regime, is examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. It is observed that velocity, surface heat transfer rate and local skin friction are reduced with increasing Weissenberg number, but temperature is increased. Increasing m enhances velocity and surface heat transfer rate but reduces temperature and local skin friction. An increase in non-isothermal power law index (n) is observed to decrease the velocity and temperature. Increasing magnetic parameter (M) is found to decrease the velocity and increase the temperature. Overall, the primary influence on free convection is sustained through the magnetic body force parameter, M, and also the surface mass flux (injection/suction) parameter, f w . The rheological effects, while still prominent, are not as dramatic. Boundary layers (both hydrodynamic and thermal) are, therefore, most strongly modified by the applied magnetic field and wall mass flux effect. The study is pertinent to smart coatings, e.g., durable paints, aerosol deposition processing and water-based solvent thermal treatment in chemical engineering.

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“…The present investigation has neglected rheological effects of the blood flow, as we have confined attention to large diameter vessels. Future studies will incorporate non-Newtonian characteristics for magneto-hydrodynamic Dean flows in narrow blood vessels, simulated with a variety of non-linear constitutive models 10,26,58 and also examine heat transfer in curved tube blood flows. 58 …”

Section: Discussionmentioning

confidence: 99%

“…The influence of curvature increases downstream of the branch. Norouzi et al 10 investigated Dean flow of non-Newtonian gastric fluids with heat transfer effects as a model of transport in the duodenum. They employed a perturbation method to investigate the effect of pipe curvature ratio (perturbation parameter) on velocity development and temperature distribution, deriving solutions in terms of hypergeometric functions.…”

Section: Introductionmentioning

confidence: 99%

Spectral Numerical Simulation of Magneto-Physiological Laminar Dean Flow

Bég¹,

Hoque

Wahiduzzaman

et al. 2014

J. Mech. Med. Biol.

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A computational simulation of magnetohydrodynamic laminar blood flow under pressure gradient through a curved bio-vessel, with circular cross-section is presented. Electrical conductivity and other properties of the biofluid (blood) are assumed to be invariant. A Newtonian viscous flow (Navier-Stokes magnetohydrodynamic) model is employed which is appropriate for large diameter blood vessels, as confirmed in a number of experimental studies. Rheological effects are therefore neglected as these are generally only significant in smaller diameter vessels. Employing a toroidal coordinate system, the steady-state, three-dimensional mass and momentum conservation equations are developed. With appropriate transformations, the transport model is non-dimensionalized and further simplified to a pair of axial and secondary flow momenta equations with the aid of a stream function. The resulting non-linear boundary value problem is solved with an efficient, spectral collocation algorithm, subject to physically appropriate boundary conditions. The influence of magnetic body force parameter, Dean number and vessel curvature on the flow characteristics is examined in detail. For high magnetic parameter and Dean number and low curvature, the axial flow is observed to be displaced toward the center of the vessel with corresponding low fluid particle vorticity strengths. Visualization is achieved with the MAPLE software. The simulations are relevant to cardiovascular biomagnetic flow control.

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Analysis of the effect of normal stress differences on heat transfer in creeping viscoelastic Dean flow

Cited by 39 publications

References 21 publications

Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel

Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel

Magnetohydrodynamic free convection boundary layer flow of non-Newtonian tangent hyperbolic fluid from a vertical permeable cone with variable surface temperature

Spectral Numerical Simulation of Magneto-Physiological Laminar Dean Flow

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