An analysis is presented for the steady laminar flow of an incompressible Newtonian fluid in an annulus between two concentric porous spheres with injection/suction at their boundaries. The inner sphere rotates with constant angular velocity about its own …

The numerical procedure was verified by comparing calculations with previously published results for the special cases of Newtonian flow in an eccentric annulus and non-Newtonian flow in a concentric annulus and with limited experimental data for Bingham-plastic flow in an eccentric annulus.

STUDY OF AIR BUBBLE INJECTION INTO LAMINAR AND TURBULENT WATER FLOW THROUGH AN ANNULAR TEST SECTION THESIS Submitted in partial fulfillment of the requirement for the degree Master of Engineering (Mechanical) at The City College of New York of the City University of New York by Debbrata Das May, 2012 Approved:

Axial laminar flow of a non‐Newtonian fluid in an annulus. Donald W. McEachern. University of Wisconsin, Madison, Wisconsin ... laminar, isothermal flow of an Ellis model fluid in a conduit of annular cross section. Tables are presented which may be used to obtain flow curves for annular flow of fluids whose Ellis parameters are known.

Keywords: Developing and Fully developed, Laminar flow, Concentric annulus, Pipe flow, Moving Core, Numerical model, Staggered grid, Pressure correction technique. INTRODUCTION The laminar flow in annulus was analyzed by different researchers to predict the flow properties such as the pressure drop, velocity profiles…etc.

in an annulus with an externally enhanced inner tube Ajay K. Agrawal Department of Mechanical Engineering, Clemson University, Clemson, SC, USA Subrata Sengupta College of Engineering, University of Michigan, Dearborn, MI, USA Laminar forced convection in a double-pipe heat exchanger is studied numerically.

The laminar flow in annulus was analyzed by different researchers to predict the flow properties such as the pressure drop, velocity profiles…etc. These analyses were used to predict capsule flow performance in hydraulic capsule pipeline systems. Govier and Aziz (1972) presented an overview, general theoretical and experimental analysis for ...

annular geometry rather than approximate slot solution. 3. Methodology The fluid flow in an annulus is idealized as steady, isothermal, fully developed laminar flow through a straight annulus consisting of an outer cylindricalcasing (R 0) and an inner cylinder (R i) which is offset (i.e. eccentric). The geometry of the system is depicted in ...

Flow chart for the computer code "ANNULUS" 96 Fig. 4.1. Pressure defect in laminar flow through an annulus (r* = 0.25) 98 Fig. 4.2. Variation of friction factor parameter fpRe in the entrance region of an annulus (r* = 0.25; 99 Fig. 4.3. Variation of Nusselt number for hydrodynamically developing flow through an annulus (r* = 0.25) 100

Flow through an annulus Use Cylindrical Coordinates, which are the natural coordinates for the descripion of position in a tube. Consider a steady state laminar flow of a fluid of constant density p in a long tube of lenght L and radius R (assume L >>R and ignore end effects). Shell of thickness ∆r and lenght L, considering z as the flow ...

In contrast with the pipe-flow situation, fully-developed annular flow in the laminar and turbulent regimes involves a combination of two boundary layers extending from the pipe walls to a point of maximum velocity which does not lie in the centre of the annular gap.

Fluid velocity profile development for turbulent flow in smooth annuli Theodore Hisao Okiishi ... "Fluid velocity profile development for turbulent flow in smooth annuli " (1965).Retrospective Theses and Dissertations ... incompressible and laminar fluid flow in an annulus can be derived analytically as shown, for example, in the text by Lamb ...

5. Gravitational flow of a liquid film down the inner or outer surface of a round vertical tube 6. Gravitational flow of a liquid through an inclined half-full round tube 7. Flow induced by the movement of one of a pair of parallel planes 8. Flow induced in a concentric annulus between round tubes by the axial

TUTORIAL No. 1 FLUID FLOW THEORY ... 2.1 LAMINAR FLOW A stream line is an imaginary line with no flow normal to it, only along it. When the flow is laminar, the streamlines are parallel and for flow between two parallel surfaces we may consider the flow as made up of parallel laminar layers. In a pipe these laminar layers are cylindrical and

The velocity profile for laminar flow in an annulus is given by . where Δp/L=-10 kPa/m is the pressure gradient, μ is the viscosity (SAE 10 oil at 20°C), and Ro=5 …

Consider steady, incompressible, laminar flow of a Newtonian fluid in an infinitely long round pipe annulus of inner radius R i and outer radius R 0 (Fig. P9-106). …

uid in laminar ow under the e ects of both pressure and gravity in a system of length Land width W, which is at an angle to the vertical. End e ects are neglected assuming the dimension of the system in the x-direction is relatively very small compared to those in the y-direction (W) and the z-direction (L).

An analytical solution and a numerical analysis are presented to study the flow behavior in concentric annulus with moving core in pipe for laminar flow condition.

A Nusselt number close to one, namely convection and conduction of similar magnitude, is characteristic of "slug flow" or laminar flow. A larger Nusselt number corresponds to more active convection, with turbulent flow typically in the 100–1000 range.

Heat Transfer and Pressure Drop in Concentric Annular Flows of Binary Inert Gas Mixtures R.S. Reid, J.J. Martin, D.J. Yocum,* and E.T. Stewart Marshall Space Flight Center, Marshall Space Flight Center, Alabama *Graduate Student Research Program …

developed laminar flow in a horizontal annulus under the conditions of a constant-temperature inner wall and an insulated outer wall, whereas the latter considered the outer and inner cylinders uniformly heated with a constant heat flux density. The

Annular flow is a flow regime of two-phase gas-liquid flow (see gas-liquid flow).It is characterized by the presence of a liquid film flowing on the channel wall (in a round channel this film is annulus-shaped which gives the name to this type of flow) and with the gas flowing in the gas core.

Annulus flow passage is widely used in aero-engines, turbomachinery, petroleum engineering, and various chemical industrial devices. The flow dynamics in the annulus has significant influence on the performance and flow efficiency of the devices. The flow in the annulus may be laminar or turbulent depending on the behaviour of the main flow

Flow in an Annulus with changing κ Objectives 1. To investigate experimentally the relation between volumetric flow rate and κ (ratio of the internal to external radius of the annulus) by changing the internal diameter. 2. At a particular κ, observe the laminar and turbulent flow in an annulus and

The problem considered is the steady flow of an electrically conducting, incompressible fluid, in the annular space between two infinitely long circular cylinders, under a radially impressed magnetic field. The general magnetohydrodynamic equations are simplified by the conditions of the problem to three equations in pressure, velocity, and magnetic field.

Depending upon the various parameters involved (the radius ratio, the angular velocity ratio, and the Reynolds number), the resulting flow in the spherical annulus may be laminar, turbulent, or some combination of laminar and turbulent flow.

Sep 29, 2010· I have need to determine laminar flow in an annulus, and I am not sure what to use for the diameter (hydraulic diameter). My references tell me that hydraulic radius or diameter is not applicable to laminar flow.

In the case of laminar flow, for a circular cross section: =, =, where Re is the Reynolds number, ρ is the fluid density, v is the mean flow velocity, which is half the maximal flow velocity in the case of laminar flow. It proves more useful to define the Reynolds number in terms of the mean flow velocity because this quantity remains well ...

• The fluid rheology in the annulus was described by H-B model. • Flow regime in the annulus satisfied fully developed laminar and flow rate kept constant. • 𝐾𝐾Fluid physical parameters could not change during the flow in the annulus. 𝑘𝑘

An analysis is presented of fully developed laminar flow in an eccentric annulus. An exact solution for the velocity distribution is presented. From this solution may be obtained expressions for local shear stress on the inner and outer surfaces of the annulus, friction factors based on the inner and outer surfaces, and the overall friction factor.

Annular pipe flow is often encountered in engineering applications such as heat exchangers, combustion systems, and drilling operations in the oil and gas industry. Furthermore, annular pipe flow provides an insight into the problem of turbulent flows with curved walls.

Rotating Cylinders, Annuli, and Spheres Flow over rotating cylinders is important in a wide number of applications from shafts and axles to spinning projectiles. Also considered here is the flow in an annulus formed between two concentric cylinders where …

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