Application of recursive approach of pseudoplastic fluid flow between rotating coaxial cylinders

Shaikh, F. N.; Shah, Syed Feroz; Siddiqui, A. M.; Kumar, Laveet

doi:10.1016/j.aej.2022.01.034

Cited by 10 publications

(3 citation statements)

References 22 publications

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“…It presents a challenge in addressing industrial issues to understand how non-linear fluids behave with convoluted rheological properties [8,9].Due to these complexities, mathematicians and researchers are motivated to work on these problems. There are several industries that are affected by fluid dynamics phenomena, such as crude oil processing, enhanced oil recovery, ceramics, chemicals, cosmetics, food, and medications [10,11]. It has been investigated several times how Newtonian fluids behave in channels, including streams running unidirectionally as well as in reverse directions [12].…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Inertia Effects on Pressure and Flow Patterns in Unidirectional and Reversed Newtonian Fluid Flows within a Channel

Rahim Bux Khokhar,

Bhutto,

Bhutto

et al. 2023

VFAST trans. math.

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Fluid flows in channel systems are prevalent in many industrial and engineering applications. Flow rates, Reynolds numbers, and inertia significantly impact the dynamics of fluid flows in channel systems. However, analyzing these factors' effects on fluid flows is challenging. This study investigates the impact of flow rates, Reynolds numbers, and inertia on fluid flows within a channel system filled with non-porous media using Taylor-Galerkin/Pressure-Correction Scheme. Various flow conditions, including equal and unequal flow rates, reversed flow, and unidirectional flow, are analyzed to determine the effects on pressure differences and streamline patterns by numerical simulation. The results demonstrate the crucial role of inertia on vortex development, pressure differences, and the formation of eddies in different regions of the channel. The study reveals that pressure differences increase linearly with increasing Reynolds number in unidirectional flow scenarios and that unequal flow rates can significantly alter flow behavior. The study's findings provide insight into the complex interplay between flow rates, inertia, and pressure variations in fluid flows within a channel system.

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Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Inertia Effects on Pressure and Flow Patterns in Unidirectional and Reversed Newtonian Fluid Flows within a Channel

Rahim Bux Khokhar,

Bhutto,

Bhutto

et al. 2023

VFAST trans. math.

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“…e behavior of Newtonian [28][29][30] and non-Newtonian fluid [31][32][33][34] on different geometries is examined numerically and analytically. e theoretical and experimental researches of squeezing flows have been studied by many researchers [35,36].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Slow Squeeze Flow of Slightly Viscoelastic Fluid Film between Two Circular Disks Using Recursive Approach

Memon

Shaikh

Siddiqui

et al. 2022

Mathematical Problems in Engineering

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This research investigates an analytical solution for the slow squeeze flow of the slightly viscoelastic fluid film between two circular disks in which the upper disk approaches the lower disk with a constant velocity, and the lower disk is kept stationary. The determination of the study is to identify the behavior of the differential type fluid on the steady squeezing flow using Langlois recursive approach. The governing equations for the axisymmetric flow are expressed in cylindrical coordinates and yield the nonlinear system of partial differential equations. The analytical solution of the resulting equations with nonhomogeneous boundary conditions is obtained by the Langlois recursive approach. Flow variables such as stream function, velocity profiles, pressure distribution, shear, normal stresses, and normal force acting on the disk are determined. These flow variables are nondimensionalized by using suitable dimensional quantities. The influence of slightly viscoelastic parameter β , radial distance r , and aspect ratio on velocity components, pressure distribution, and normal squeeze force is examined mathematically and portrayed graphically. The results illustrate that the axial and radial velocities increase at the higher values of the slightly viscoelastic parameter β , which confirms the shear thickening behavior. The obtained solutions of the flow variables satisfied the existing solutions on squeeze flow of viscous fluid upon vanishing the slightly viscoelastic parameters. This solution could elucidate the classical lubrication problems, particularly in load and thrust bearing characteristics of the human body joints, the compression molding process of materials, etc.

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“…Some common examples of the same are pneumatic valves, hydraulic valves and cylinder engines etc. On account of non-Newtonian fluid's non-linear behaviour, it becomes pertinent to adopt various numerical and analytical approaches [19], [18], [13], [1], [10]. Among the assortment of methods available for deriving solutions to such problems, fractional calculus is the most celebrated.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Transient Flow of Fractional Oldroyd-B Fluid between Oscillating Cylinders

Shaikh,

Khokhar

et al. 2022

VFAST trans. math.

Self Cite

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This paper investigates the fractional Oldroyd-B ﬂuid ﬂow across two interminable coaxial cylinders, where the ﬂuid’s motion is generated by the oscillatory movement of cylinders and the oscillating pressure gradient. The proﬁle of velocity and shear stress of the ﬂow is derived with the assistance of Caputo fractional derivative utilizing an analytical technique, ﬁnite Hankel transform and Laplace transforms. The semi-analytical solution is then displayed as generalized functions of G and R satisfying fundamental constitutive equations and all initial and boundary conditions. To validate the results, some limitations have been imposed on the determined equations and the results have been contrasted against previous results. Moreover, the inﬂuence of various parameters on the ﬂow of fractionalized Oldroyd-B ﬂuid is investigated and depicted graphically.

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Application of recursive approach of pseudoplastic fluid flow between rotating coaxial cylinders

Cited by 10 publications

References 22 publications

Numerical Analysis of Inertia Effects on Pressure and Flow Patterns in Unidirectional and Reversed Newtonian Fluid Flows within a Channel

Numerical Analysis of Inertia Effects on Pressure and Flow Patterns in Unidirectional and Reversed Newtonian Fluid Flows within a Channel

Analytical Solution of Slow Squeeze Flow of Slightly Viscoelastic Fluid Film between Two Circular Disks Using Recursive Approach

Analytical Solution of Transient Flow of Fractional Oldroyd-B Fluid between Oscillating Cylinders

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