Pdf we present an analytical solution of plane motion for a bingham fluid initially at rest subjected to a suddenly applied constant pressure. It is used as a common mathematical model of mud flow in drilling engineering, and in the handling of slurries. Pdf several research problems concerning the immiscible fluids have taken up the study of viscous boundary value in recent years. One group of data, obtained by experiment with tube viscometer, tube, dia d 9. The entrance region flows of the newtonian fluid and the power law fluid have been studied extensively by using various approximate methods. 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.
Moreover, the poiseuille and blasius correlations and the critical reynolds number for laminarturbulent flow remain valid. The identification of fluid and sodium disorders and the skills needed to prevent and manage these disorders are. 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. Stability of plane poiseuille flow of a bingham fluid through a. For the newtonian fluid the slope of this line is the viscosity, which is the only parameter. Pdf flow of bingham fluid in contact with a newtonian fluid. Phanthien department of chemical engineering, california institute of technology, pasadena, calif.
Bingham plastic fluids flowing in a pipe have a reynolds number comparable to that of the newtonian fluid. A nonnewtonian fluid is a fluid that does not follow newtons law of viscosity, i. We present an analytical solution of axisymmetric motion for a bingham fluid initially at rest subjected to a constant pressure gradient applied suddenly. 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. Full scale viscosity ranges brookfield coneplate viscometer manual. Bingham plastic model an overview sciencedirect topics. Bingham, pharmd, bcps, bcnsp, bcccp, associate professor of clinical pharmacy, philadelphia college of pharmacy university of the sciences. This is followed by a short discussion on how to engi. Notes on fluid dynamics rodolfo repetto department of civil, chemical and environmental engineering university of genoa, italy rodolfo. A similarity solution for a rayleigh flow of a bingham fluid. Numerical modelling of bingham fluid flow and particle. 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. A similarity solution for a rayleigh flow of a bingham fluid n. Predicting the friction factor in straight pipes in the case of bingham. 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.
A bingham plastic is a viscoplastic material that behaves as a rigid body at low stresses but. Bingham plastic fluids constitute a major class of viscoplastic fluids macosko1. Startup flow of a bingham fluid in a pipe springerlink. Entrance region flow of the bingham fluid in a circular pipe wiley. Each type of nonnewtonian fluid behaviour has been illustrated via experi mental data on real materials. Startup flow of a bingham fluid in a pipe article pdf available in meccanica 401.
Lubrication theory for bingham plastics pdf free download. Bingham plastic fluid an overview sciencedirect topics. The analysis reveals the existence of a finitewave instability in the creepingflow limit, which is absent for newtonian fluid flow in the same. 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. Yet, the complex interplay of geometry and rheology in the gravity flow of. 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. Unix script starts simulations to avoid manual execution.
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