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Journal ArticleDOI

Entrance flow of a bingham fluid in a tube

TLDR
In this article, the results of the entrance flow in a tube for the case of zero yield stress are compared with the solution for a Newtonian fluid for a wide range of yield numbers.
Abstract
The numerical solution of the entrance flow in a tube has been obtained for a Bingham fluid. The numerical procedure used is that of Patankar and Spalding [1]. The accuracy of the numerical results is demonstrated by comparing the fully-developed velocity profiles with analytical exact solutions. The results of the entrance flow in a tube for the case of a zero yield stress are compared with the entrance flow solution for a Newtonian fluid. Detailed results are presented for a wide range of yield numbers (=τ y D/ūμ).

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Citations
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Journal ArticleDOI

Development length requirements for fully-developed laminar pipe flow of yield stress fluids

TL;DR: In this article, the authors report the results of a systematic numerical investigation of developing laminar pipe flow of yield stress fluids, obeying models of the Bingham-type, and show that using a suitable choice of the Reynolds number allows, for high Reynolds number values at least, the development length to collapse to the Newtonian correlation.
Journal ArticleDOI

Laminar forced convection in power-law and Bingham plastic fluids in ducts of semi-circular and other cross-sections

TL;DR: In this paper, the effects of the power-law and Bingham plastic viscosity on the flow and heat transfer characteristics of laminar forced convection through non-circular ducts of a range of cross-sections have been investigated numerically over the wide ranges of Peclet number, 10 ⩽ ( Pe = Re · Pr )⩽ 10 4, power-Law index, 0.2 ⩻ n ⩾ 2 and Bingingham number, 0 ⩩� Bn ⎽ 15, two different thermal boundary
Journal ArticleDOI

Laminar entrace region flow of the Bingham fluid

Z. Nowak, +1 more
- 01 Sep 1983 - 
TL;DR: The main purpose of as mentioned in this paper is to solve numerically the entrance region flow of the Bingham fluid by omitting the necessity of pre-assuming the form of velocity profile within the boundary layer, as has been done elsewhere.
Journal ArticleDOI

Non-Newtonian fluid flow through a sudden pipe contraction under non-isothermal conditions

TL;DR: In this paper, a steady-state laminar flow of a viscoplastic fluid through an axisymmetric sudden pipe contraction under non-isothermal conditions has been studied numerically.
Journal ArticleDOI

Developing Bingham fluid flow in a channel

TL;DR: In this article, an integral solution for the development of the Bingham fluid flow is presented, which accounts for the loss of energy due to viscous dissipation in the boundary layer and evaluates wall shear stress as integrals involving axial velocity distribution.
References
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Journal ArticleDOI

Two-dimensional plastic flow of a Bingham solid

TL;DR: In this paper, the rheological equations of state for an isotropic Bingham solid may be written in tensor form:whereThe notation is explained fully in a previous paper (1).
Journal ArticleDOI

Entrance region flow of the Bingham fluid in a circular pipe

TL;DR: In this article, the laminar, isothermal entrance region flow of the Bingham fluid in a circular pipe is studied at first by using the momentum integral method and the boundary-layer equation for the bimodal fluid.
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