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Herschel–Bulkley fluid
About: Herschel–Bulkley fluid is a research topic. Over the lifetime, 1946 publications have been published within this topic receiving 49318 citations.
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TL;DR: In this article, Rohit integral transform is applied for solving the differential equation relating flow characteristics of the viscous liquid to obtain the velocity distribution and shear stress distribution of a one-way streamline flow between the stationary parallel plates as well as between the parallel plates having a relative motion.
Abstract: This paper illustrates the application of the Rohit integral transform for analyzing the one-way streamline flow between parallel plates directly without finding the general solution of a differential equation relating to the flow characteristic equation of the viscous liquid. Viscosity is the characteristic of a fluid (liquid) due to which viscous force becomes active when the fluid is in motion. This force opposes the relative motion of different layers of the fluid. This viscous force becomes active when the different layers of the fluid are operating with different velocities which leads to shearing stress between the layers of the operating fluid. In this paper, Rohit integral transform is applied for solving the differential equation relating flow characteristics of the viscous liquid to obtain the velocity distribution and shear stress distribution of a one-way streamline flow between the stationary parallel plates as well as between the parallel plates having a relative motion
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22 Jan 2010TL;DR: In this article, a non-Newtonian fluid simulation model is presented, it profits from the essential method of smoothed particle hydrodynamics, and can exhibit concurrently viscosity, elasticity and plasticity of non-newtonian fluids.
Abstract: Through adding stress tensors into the Navier-Stokes equations, in this paper a non-Newtonian fluid simulation model is presented, it profits from the essential method of smoothed particle hydrodynamics, and can exhibit concurrently viscosity, elasticity and plasticity of non-Newtonian fluid, thereby a unified model for simulating non-Newtonian fluid is established. The proposed model are tested under various elastic and plastic parameter values, the experimental results show that non-Newtonian fluid with various elastic and plastic characteristic can be simulated realistically by using this model.
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01 Jan 2007
TL;DR: The solution of the problem of viscous dissipation in the flow of Newtonian fluid through a tube of annular cross section, with Dirichlet boundary conditions is obtained by a series expansion about the complete eigenfunctions system of a Sturm-Liouville problem.
Abstract: This paper considers the problem of viscous dissipation in the flow of Newtonian fluid through a tube of annular cross section, with Dirichlet boundary conditions. The solution of the problem is obtained by a series expansion about the complete eigenfunctions system of a Sturm-Liouville problem. Eigenfunctions and eigenvalues of this Sturm-Liouville problem are obtained by Galerkin’s method.
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01 Jan 2005
TL;DR: In this paper, the authors studied the rotational flow of a generalized second grade fluid between two infinite coaxial cylinders and obtained the velocity field!(r, t), obtained by means of Laplace and Hankel transforms, under series form in terms of generalized G functions.
Abstract: The main aim of this thesis is to present some new and recent results from the theory of non-Newtonian fluids. Such results refer to different motions of generalized second grade and Oldroyd-B fluids and ordinary Maxwell fluids. Generally, the constitutive equations for generalized non-Newtonian fluids are obtained from those for non-Newtonian fluids by replacing the time derivatives of an integer order by the so called Rieman-Liouville fractional operators.
In chapter 2, it is studied the rotational flow of a generalized second grade fluid between two infinite coaxial cylinders. The velocity field !(r, t) and the shear stress (r, t), obtained by means of Laplace and Hankel transforms, are presented under series form in terms of generalized G functions. The obtained solutions can be specialized to give the similar solutions for ordinary second grade and Newtonian fluids performing the same motion. Chapter 3 deals with the study of helical flow of generalized Oldroyd-B fluids in a single circular cylinder. The components of velocity field and their associated shear stresses have been found in terms of generalized G and R functions and are presented as sum of two terms, one of them is the similar solution for the Newtonian fluid. Chapter 4 contains some remarkable results regarding the energetic balance for the flow of Maxwell fluid due to a constantly accelerating plate. We have determined the dissipation, the power due to the shear stress at the wall and boundary layer thickness for this motion. The corresponding results for the similar flow of a Newtonian fluid are also recovered as special case. The specific features of both fluids are compared and discussed.
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