2 edition of Flow of generalised Bingham fluids in straight pipelines found in the catalog.
Flow of generalised Bingham fluids in straight pipelines
D C H. Cheng
by Warren SpringLaboratory
Written in English
Paper given to Institution of Chemical Engineers Symposium, Non-Newtonian liquids in chemical engineering, Salford, 1967.
|Statement||by D.C.H. Cheng, J.B. Davis and Scarrow.|
|Contributions||Davis, J B., Scarrow, A .|
|The Physical Object|
|Number of Pages||104|
Bingham Plastic Fluid Home Fluid Flow Bingham Plastic Fluid This tool calculates pressure drop in a straight pipe due to flow of a non-Newtonian Bingham plastic fluid. = Inside diameter of pipe (D) for flow in a pipe = dio–doifor flow in an annulus (diois the inside diameter of the outer pipe and doiis the outside diameter of the inner pipe) For flow inside a pipe of diameter, D:: Density of fluid (kg/m3) u: Average velocity of fluid (m/s): Viscosity of fluid (Pa s).
For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as u (r) = (Δ P/ 4 μL)(r 2 − R 2) + (τ у /μ)(r − R), where Δ P/L is the constant pressure drop along the pipe per unit length, μ is the dynamic viscosity, r is the radial distance from the centerline, and τ y is the yield. 1. Fanno Flow – flow with friction in an adiabatic constant area pipe. 2. Rayleigh Flow – flow with heat transfer in a frictionless constant area pipe. 3. Combined Friction and Heat Transfer in a constant area pipe. 4. Effect of friction and area change using an adiabatic converging-diverging nozzle. by: 2.
Indication of Laminar or Turbulent Flow The term fl tflowrate shldbhould be e reprepldbR ldlaced by Reynolds number,,where V is the average velocity in the pipe, and L is the characteristic dimension of a flow.L is usually D R e VL / (diameter) in a pipe flow. in a pipe flow. --> a measure of inertial force to the > a measure of inertial force to theFile Size: 2MB. For any pipe system, in addition to the Moody-type friction loss computed for the length of pipe. Most pipe systems consist of considerably more than straight pipes. These additional components add to the overall head loss of the system. Such losses are generally termed minor losses, withFile Size: KB.
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A solution is developed by successive approximations from the perturbation of flow of a Bingham fluid in a straight pipe. The streamlines in the plane of symmetry are illustrated, as well as the projections of the stream surfaces on a normal section, for assumed thickness of plug of material in the centre of the by: Start-up Flow of a Bingham Fluid in a Pipe Article (PDF Available) in Meccanica 40(1) February with Reads How we measure 'reads'.
The numerical computations are performed on Bingham fluid turbulent flow in sudden-expansion straight circular pipe, and the flow mechanisms are discussed. Discover the world's research Squeeze flow between closely spaced parallel disks of a plastic material is considered for a Bingham fluid described by a bi-viscosity model with Navier slip condition.
The flow field is divided. Q = CdAo (2AP/p~ 1/2 \ 1 -fi4;, () A0 = cross sectional area of the orifice, fl = d/D, Flow of generalised Bingham fluids in straight pipelines book of the diameters of orifice and pipe. 94 FLOW OF FLUIDS EXAMPLE Pressure Drop in Nonisothermal Liquid Flow Oil is pumped at the rate of lb/hr through a reactor made of commercial steel pipe in.
ID and ft long. In the Bingham plastic model, the shear stress should exceed a certain value to break the gelation bonding of the drilling fluid and allow it to flow. This behavior enables drilling fluid to suspend the drilling cuttings and solids within the drilling fluid when the circulation stops.
The momentum flux distribution for flow of any kind of fluid through a circular tube is given by the following equation: According to Figure in the text, for a Bingham fluid the velocity gradient is zero when the momentum flux is less than the value.
The effect of modifying yield stress on turbulent pipe flow of generalised Newtonian fluids at a friction Reynolds number of is investigated using direct numerical simulations. Simulations are carried out for Bingham and Herschel–Bulkley fluids with the yield stress varying from 0% to 20% of the mean wall shear by: 3.
Fluid Mechanics, CVE Dr. Alaa El-Hazek 48 Chapter 7 FLOW THROUGH PIPES Friction Losses of Head in Pipes Secondary Losses of Head in Pipes Flow through Pipe Systems Friction Losses of Head in Pipes: There are many types of losses of head for flowing liquids such as friction, inlet and outlet Size: 1MB.
Bingham Plastic flow as described by Bingham Figure 1 shows a graph of the behaviour of an ordinary viscous (or Newtonian) fluid in red, for example in a pipe.
If the pressure at one end of a pipe is increased this produces a stress on the fluid tending to make it move (called the shear stress) and the volumetric flow rate increases proportionally. stress τ and the flow function Γ= V D (8 /) where V is the average flow velocity and D the pipe diameter and not the index n which is the slope of the log-log plot between τ and the shear rate γ.
Therefore the correlations are not restricted only to power law fluids obeying theCited by: 4. Using modeling techniques that simulate the motion of non-Newtonian fluids, e.g., power law, Bingham plastic, and Herschel-Bulkley flows, this book presents proven annular flow methodologies for cuttings transport and stuck pipe analysis based on detailed experimental data.
In this technical note we discuss the importance of using a generalized Brinkman number definition for laminar pipe flow of a Bingham fluid, when viscous dissipation effects are relevant. Pipe construction for Newtonian and Bingham fluids Citation for published version (APA): h pipe in which the Bingham fluid behaves like a rigid body.
There is a Newtonian fluid flow through the pipe caused by a pressure gradient. On top ofAuthor: S.J.H. Beukers, K.
Koenen, J.P.M. Laumen, T.J.G. Zwartkruis. Solving the problem of Bingham fluid flow in cylindrical pipeline Article in Russian Mathematics 59(2) February with 10 Reads How we measure 'reads'. 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 Bingham fluid.
In addition to the velocity boundary layer, the existence of the shear stress boundary layer is considered. Huilgol, R.R., Mena, B. ‘On the time estimate for start-up of pipe flows in a Bingham fluid – a proof of the result due to Glowinski, Lions and Trémolière’ J.
Non-Newtonian Fluid Cited by: 9. We consider an elliptic variational inequality in a circular domain, which simulates viscoplastic Bingham flow in a pipe. This variational inequality is approximated by finite-difference scheme on a grid in polar coordinates. To solve the finite-dimensional problem we propose a generalized Uzawa-type iterative : A.
Lapin, A. Romanenko. Hello. Does anyone here have already simulated a flow of a Bingham fluid on a pipe using STAR-CCM+. I suppose that I might use the Generalized Power Law Fluid in order to run my simulation, but I don't know how to fill the parameters correctly.
On the Generalized Brinkman Number Definition and Its Importance for Bingham Fluids P. Coelho, In this technical note we discuss the importance of using a generalized Brinkman number definition for laminar pipe flow of a Bingham fluid, when viscous dissipation effects are relevant.
Cited by: 8. For Newtonian laminar pipe flow the use of the classical definition of the Brinkman number is straightforward and provides an adequate estimate of the ratio between the heat generated by viscous heating and the heat exchanged at the pipe by: The MHD generalized Couette flow and heat transfer on Bingham fluid through porous parallel plates with Ion-slip and Hall currents has been investigated numerically by explicit finite difference scheme.
The mesh sensitivity and time sensitivity tests are performed for obtaining appropriate mesh size and the steady-state solution : Tusher Mollah, Muhammad Islam, Sheela Khatun, Mahmud Alam.Generalized Reynolds number for flow in pipes: For Newtonian flow in a pipe, the Reynolds number is defined by: 𝑹 = 𝝆𝒖 𝒊 𝝁 () In case of Newtonian flow, it is necessary to use an appropriate apparent viscosity (𝝁𝒂).
In flow in a pipe, where the shear stress varies with radial location, the value of 𝝁𝒂 varies.