Bingham plastic fluids flowing in a pipe have a reynolds number comparable to that of the newtonian fluid. Unix script starts simulations to avoid manual execution. The entrance region flows of the newtonian fluid and the power law fluid have been studied extensively by using various approximate methods. Bingham plastic fluid an overview sciencedirect topics. It is used as a common mathematical model of mud flow in drilling engineering, and in the handling of slurries. This is a pdf file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it. Each type of nonnewtonian fluid behaviour has been illustrated via experi mental data on real materials. This is followed by a short discussion on how to engi. Startup flow of a bingham fluid in a pipe springerlink. For the newtonian fluid the slope of this line is the viscosity, which is the only parameter. Stability of plane poiseuille flow of a bingham fluid through a. A similarity solution for a rayleigh flow of a bingham fluid n. Pdf flow of bingham fluid in contact with a newtonian fluid.
Lubrication theory for bingham plastics pdf free download. Effect of channel confinement on the steady flow of bingham plastic. A bingham plastic is a viscoplastic material that behaves as a rigid body at low stresses but flows as a viscous fluid at high stress. For drilling fluid treatment purposes, the bingham plastic model is superior to other models as it indicates the nature of contamination of the drilling fluid and the required treatment. Pdf startup of channelflow of a bingham fluid initially at rest. The analysis reveals the existence of a finitewave instability in the creepingflow limit, which is absent for newtonian fluid flow in the same. Phanthien department of chemical engineering, california institute of technology, pasadena, calif. A bingham plastic is a viscoplastic material that behaves as a rigid body at low stresses but. Predicting the friction factor in straight pipes in the case of bingham. Full scale viscosity ranges brookfield coneplate viscometer manual. Startup flow of a bingham fluid in a pipe article pdf available in meccanica 401. Bingham plastic fluids constitute a major class of viscoplastic fluids macosko1.
Pdf we present an analytical solution of plane motion for a bingham fluid initially at rest subjected to a suddenly applied constant pressure. Yet, the complex interplay of geometry and rheology in the gravity flow of. We use cookies to offer you a better experience, personalize content, tailor advertising, provide social media features, and better understand the use of our services. Pdf several research problems concerning the immiscible fluids have taken up the study of viscous boundary value in recent years. The maximum displacement saturation occurs at the point of the fractionalflow curve at which f ne 1. We present an analytical solution of axisymmetric motion for a bingham fluid initially at rest subjected to a constant pressure gradient applied suddenly. These materials are characterized by their dual nature, i. Bingham plastic model an overview sciencedirect topics. A nonnewtonian fluid is a fluid that does not follow newtons law of viscosity, i.
Notes on fluid dynamics rodolfo repetto department of civil, chemical and environmental engineering university of genoa, italy rodolfo. Bingham, pharmd, bcps, bcnsp, bcccp, associate professor of clinical pharmacy, philadelphia college of pharmacy university of the sciences. One group of data, obtained by experiment with tube viscometer, tube, dia d 9. Numerical modelling of bingham fluid flow and particle. Download free acrobat reader dc software, the only pdf viewer that lets you read, search, print, and interact with virtually any type of pdf file. The identification of fluid and sodium disorders and the skills needed to prevent and manage these disorders are. The bingham plastic model became widely used because it is simple and estimates pressure loss in a turbulent condition with accuracy close to the other models. An introduction 3 table 2 examples of substances exhibiting nonnewtonian fluid behaviour adhesives wall paper paste, carpet adhesive, for instance food stuffs fruitvegetable purees and concentrates, sauces, salad dressings, mayonnaise, jams and marmalades, icecream, soups, cake mixes and cake top. Scaling laws for the slumping of a bingham plastic fluid lmm. Finally, excess pressure losses will be determined as a function of a dimension less yield stress or bingham number. Moreover, the poiseuille and blasius correlations and the critical reynolds number for laminarturbulent flow remain valid.
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