Development lengths in Newtonian Poiseuille flows with wall slip

Kountouriotis, Zacharias; Philippou, Maria; Georgiou, Georgios C.

doi:10.1016/j.amc.2016.06.041

Cited by 14 publications

(5 citation statements)

References 16 publications

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“…In the steady, pressure driven, 2-dimensional, Newtonian fluid flow at low Reynolds number limit the flow regime using Navier's slip boundary conditions [21]. The use of finite element simulations to study the effect of wall slip for the development of planar and axisymmetric Newtonian Poiseuille flow with Navier slip law varying linearly for slip velocity against wall shear stress showed the development length to be in good agreement with previous research done in the field [22]. Further study in this field develops a new approach towards coupling the equations between fluid-solid domains and has been validated by the data from previous studies with the impacts of parameters such as Knudsen No.…”

Section: Introductionsupporting

confidence: 74%

Magnetohydrodynamics (MHD) Induced Slip Flow of a Non-Newtonian Fluid through Circular Microchannels

2022

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The present numerical analysis reveals the nature of non-Newtonian fluid flow through circular microchannels under slip boundary conditions. The power law has been used for the simulation of the fluid flow, which considers a steady, laminar, incompressible non-Newtonian fluid acted upon by a constant, externally applied magnetic field. The flow is axisymmetric and slip boundary conditions are applied in the near wall. A constant magnetic flux has been applied on the wall boundary to analyze the effect of magnetic field on Xanthan solution in formic acid, a type of non-Newtonian fluid having electrical conductivity. Using control volume method of finite difference scheme, a set of dimensionless governing differential equations defining the behavior of the fluid flow in the microchannel under an externally applied magnetic field, has been solved using slip boundary conditions to understand the effect of magnetic field on slip induced flow of non-Newtonian fluids. The results have depicted that the magnetic field affects both the centerline velocity and slip velocity but it is more prominent for the centerline velocities. The main objective of this research is to study the flow of non-Newtonian fluid, Xanthan through a circular microchannel and its corresponding behavior when flow boundary conditions are applied to interpret the characteristics under an externally applied magnetic field. The results obtained from this present study will find its application in the area of the flow of ferrofluids and biofluids. HIGHLIGHTS Most of the bio fluids and ferrofluids are non-Newtonian in nature and it is required to control these fluids when they pass through microchannels of modern devices Analysis conducted to find out the flow behaviour of non-Newtonian fluids through circular microchannels when they are exposed to externally applied magnetic fields Slip flow occurs in the fluid flow and an externally applied magnetic field controls the flow patterns by affecting slip velocity and centerline velocity which introduces extra flow in the microchannel. The results are helpful for better understanding of the flow of ferrofluids and bio fluids through circular microchannels GRAPHICAL ABSTRACT

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Section: Introductionsupporting

confidence: 74%

Magnetohydrodynamics (MHD) Induced Slip Flow of a Non-Newtonian Fluid through Circular Microchannels

2022

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“…Yilmazer and Kocar [16] solved analytically heat conduction equation for an eccentric spherical annulus. Some efforts have been made to solve differential equations in fluid flow and heat conduction problems [17][18][19][20][21][22]. Tian [23] presented a symmetry analysis of non-linear heat conduction equations.…”

Section: Introductionmentioning

confidence: 99%

Heat conduction in rectangular solids with internal heat generation

Duan

2021

THERM SCI

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A representative steady-state heat conduction problem in rectangular solids with uniformly distributed heat generation has been investigated analytically. An analytical solution is provided by solving a nonhomogeneous partial differential equation. A simple and accurate model is proposed to predict the dimensionless shape factor parameter for the first time. The dimensionless shape factor is obtained in the light of the solution of Poisson equation with constant wall temperature boundary conditions. The area-mean temperature is found by integration on the rectangular cross-section. The model is very concise and nice for quick real world approximations, and it provides acceptable accuracy for engineering practice.

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“…and predict well the development length for channel and pipe flows, respectively. For other works on the development length of Newtonian fluids please consult the following references [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

“…They presented an expression for estimating the length of the entrance region, which has applications in the extrusion industry. In the work by Philippou et al [10] the authors present a study on the flow development of a Bingham plastic fluid in tubes and channels considering the Papanastasiou regularisation and the finite element method. They considered the Navier's slip law at the wall and concluded that as slip increases, the development length initially increases exhibiting a global maximum before vanishing rapidly above the critical point corresponding to sliding flow.…”

Section: Introductionmentioning

confidence: 99%

Development Length of Fluids Modelled by the gPTT Constitutive Differential Equation

et al. 2021

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In this work, we present a numerical study on the development length (the length from the channel inlet required for the velocity to reach 99% of its fully-developed value) of a pressure-driven viscoelastic fluid flow (between parallel plates) modelled by the generalised Phan–Thien and Tanner (gPTT) constitutive equation. The governing equations are solved using the finite-difference method, and, a thorough analysis on the effect of the model parameters α and β is presented. The numerical results showed that in the creeping flow limit (Re=0), the development length for the velocity exhibits a non-monotonic behaviour. The development length increases with Wi. For low values of Wi, the highest value of the development length is obtained for α=β=0.5; for high values of Wi, the highest value of the development length is obtained for α=β=1.5. This work also considers the influence of the elasticity number.

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Development lengths in Newtonian Poiseuille flows with wall slip

Cited by 14 publications

References 16 publications

Magnetohydrodynamics (MHD) Induced Slip Flow of a Non-Newtonian Fluid through Circular Microchannels

Magnetohydrodynamics (MHD) Induced Slip Flow of a Non-Newtonian Fluid through Circular Microchannels

Heat conduction in rectangular solids with internal heat generation

Development Length of Fluids Modelled by the gPTT Constitutive Differential Equation

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