Flow Features of Non-Newtonian Fluid Through a Paraboloid of Revolution

The current paper presents a novel methodology for calculating the rheological para-meters for dilute aqueous solutions of a power-law non-Newtonian fluid, xanthan gum (XG). Previous studies have verified the fidelity of finite-element modelling of the Navier—Stokes equations for reproducing the velocity fields of XG solutions in a microfluidic T-junction with experimental observations obtained using micron resolution particle image velocimetry (μ-PIV). As the pressure-driven fluid is forced to turn the corner of the T-junction, a range of shear rates, and therefore viscosities, are produced within the flow system. Thus, a setup that potentially establishes the rheological profile of XG from a single experiment is selected. An inverse method based on finding the mapping between the statistical moments of the velocity field and the constitutive parameters of the viscosity profile demonstrated that such a system could potentially be used for the design of an efficient microfluidic rheometer. However, μ-PIV technology is expensive and the equipment is bulky. The current paper investigates whether different flow features could be used to establish the rheological profile.

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Computational modeling of magnetohydrodynamic non-Newtonian fluid flow past a paraboloid of revolution

Alexandria Engineering Journal ◽

10.1016/j.aej.2017.03.019 ◽

2018 ◽

Vol 57 (3) ◽

pp. 1859-1865 ◽

Cited By ~ 5

Author(s):

G. Kumaran ◽

N. Sandeep ◽

I.L. Animasaun

Keyword(s):

Fluid Flow ◽

Computational Modeling ◽

Newtonian Fluid ◽

Flow Past ◽

Paraboloid Of Revolution

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Heat and Mass Transfer in Magneto-Newtonian Fluid Past a Paraboloid of Revolution with Internal Heat Source

Journal of Magnetics ◽

10.4283/jmag.2020.25.2.254 ◽

2020 ◽

Vol 25 (2) ◽

pp. 254-261

Author(s):

Naveed Ahmed ◽

Ad nan ◽

Umar Khan ◽

Syed Tauseef Mohyud-Din ◽

Ilyas Khan ◽

...

Keyword(s):

Mass Transfer ◽

Heat Source ◽

Heat And Mass Transfer ◽

Newtonian Fluid ◽

Internal Heat ◽

Internal Heat Source ◽

Paraboloid Of Revolution

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Effects of Transpiration and Internal Heat Generation/Absorption on the Unsteady Flow of a Maxwell Fluid at a Stretching Surface

Journal of Applied Mechanics ◽

10.1115/1.4006260 ◽

2012 ◽

Vol 79 (4) ◽

Cited By ~ 16

Author(s):

Swati Mukhopadhyay ◽

Kuppalapalle Vajravelu

Keyword(s):

Differential Equations ◽

Newtonian Fluid ◽

Fluid Model ◽

Fluid Velocity ◽

Internal Heat ◽

Maxwell Fluid ◽

Shear Thinning ◽

Stretching Surface ◽

Flow Features ◽

Two Dimensional Flow

The effect of transpiration on unsteady two-dimensional flow of an MHD non-Newtonian Maxwell fluid over a stretching surface in the presence of a heat source/sink is investigated. The upper convected Maxwell fluid model is used to characterize the non-Newtonian fluid behavior. Using a similarity transformation the governing partial differential equations of the problem are reduced to a system of ordinary differential equations (ODEs), and the ODEs are solved numerically by a shooting method. The flow features and the heat transfer characteristics are analyzed and discussed in detail for several sets of values of the governing parameters. Though the velocity of the fluid initially decreases with increasing unsteady parameter but it increases finally. Quite the opposite is true with the temperature. Furthermore, the velocity of the fluid decreases with an increasing magnetic or Maxwell parameter. But the temperature is enhanced with an increasing Maxwell parameter. It is observed that the effect of the transpiration is to decrease the fluid velocity as well as the temperature. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

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