Summary. The challenge of theoretical and numerical studies of annular fluid flow with varying eccentricity is mainly a result of the required coordinate systems. Computational-fluid-dynamics (CFD) modeling provides the state-of-the-art approach of investigating fluid flow in such complex geometries. In this study, results from a series of numerical simulations for the fully …
The flow solution can be visualized in ParaView (.vtk) or Tecplot (.dat for ASCII). Results. Results are given here for the SU2 solution of laminar flow over the flat plate. The results show excellent agreement with the closed-form Blasius solution. Figure (2): Mach contours for the laminar flat plate.
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. The analytical analysis is presented as exact solution for steady, fully developed and one dimensional flow. The numerical model is presented to study two-dimensional, steady, developing and fully developed flows. …
In this paper, the problem of incompressible laminar viscous flow in the annular space bounded by two coaxial infinite circular cylinders with an arbitrary time-varying pressure gradient and with an arbitrary initial distribution of velocity has been studied.
Laminar entrance flow in curved annular ducts @article{Hoon1992LaminarEF, title={Laminar entrance flow in curved annular ducts}, author={Ki Hoon and Seung-O Park}, journal={International Journal of Heat and Fluid Flow}, year={1992}, volume={13}, pages={41 …
Laminar Flow in an Annulus . GIVEN A viscous liquid left(rho=1.18 times 10^{3} kg / m ^{3} ; mu=right. 0.0045 N . left. s / m ^{2}right)) flows at a rate of 12 ml/s through a horizontal, 4-mm-diameter tube. FIND (a) Determine the pressure drop along a l-m length of the tube which is far from the tube entrance so that the only component of velocity is parallel to the tube axis.
A theoretical investigation of heat transfer in fully-developed laminar flow in an annulus with peripherally varying heat flux has been carried out. The calculation involves the superposition of the solutions for an axisymmetric heat flux and a perturbation heat flux both of which are constant axially.
Disclosed is a fluid flow nozzle for dispensing fluids from a container filling machine, the nozzle being capable of transforming substantially turbulent fluid flow to substantially laminar fluid flow. The nozzle includes a hollow housing which attaches to the filling machine, and a fluid exit port for dispensing fluid into containers. A torpedo-like member is positioned within the housing so ...
Laminar vs. Turbulent Flow. Laminar Flow: Re < 2000 'low' velocity; Fluid particles move in straight lines; Layers of water flow over one another at different speeds with virtually no mixing between layers.; The flow velocity profile for laminar flow in circular pipes is parabolic in shape, with a maximum flow in the center of the pipe and a minimum flow at the …
Consider fully developed laminar flow in the annulus between two concentric pipes. The outer pipe is stationary, and the inner pipe moves in the x direction with speed V. Assume the axial pressure gradient is zero ( ∂p/∂x = 0). (a) …
Axial laminar flow in an annular geometry (flow in the annular space of two concentric cylinders, Fig. 1) is encountered in many industries including flow of polymeric melts or suspensions in extrusion flows to generate tubular extrudates and in oil and gas exploration, where various viscoplastic fluids are injected under pressure for drilling and oil bore cementing.
The laminar flow regime prevails at low flow velocities. Flow is orderly, and the pressure-velocity relationship is a function of the viscous properties of the fluid. ... The laminar flow equations for annular flow are approximate for Newtonian and power-law flow in annuli with low-clearance but reasonably accurate and much simpler than the ...
4. The velocity profile for laminar flow in an annulus is given below. Here Δp/L=-10 kPa/m is the pressure gradient, μ is the viscosity, and Ro-5 mm and Ri 1 mm are the outer and inner radii. Find the volume flow rate, the average velocity, and the maximum velocity. Plot the velocity distribution r) In ; Question: 4. The velocity profile for ...
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 …
Laminar Incompressible Flow in a Pipe of Varying Diameter: Consider sections 1-1 and 2-2 of a pipe whose diameter varies uniformly from D 1 at section 1-1 to D 2 at section 2-2. Let the sections be l apart. The pipe conveys a liquid of viscosity μ. Let the pressure intensities at these sections be p 1 and p 2.
In a laminar flow along an Annular cross section with heating in one side and insulation in the other, what is the value of the Nusselt number in this flow? and is the diameter in the Nusselt expression Nu=h*D/k the hydraulic diameter? fluid …
Axial laminar flow in an eccentric annulus: An approximate solution. Academia.edu uses cookies to personalize content, tailor ads and improve the user experience. By using our site, you agree to our collection of information through the use of cookies. ... Numerical Solution of Power-law Fluid Flow through Eccentric Annular Geometry. By Noaman ...
An analysis has been performed to determine the heat transfer charac-teristics for laminar forced-convection flow in a concentric annulus with prescribed surface temperatures. The temperatures of the inside and outside walls of the annulus are considered to be different. The temperature distri-butions were determined by utilizing the method of superposition. By way of …
The most common annular flow regime is laminar. It exists from very low pump rates to the rate at which turbulence begins. Characteristics of laminar flow useful to the drilling engineer are low friction pressures and …
Under the conditions of the cylindrical annulus with a laminar, pressure driven, single dimension fluid flow, the velocity profile takes the form of a parabola in the direction of mass transfer. The parabolic shape of the fluid shows that as the velocity gradient reaches closer to a wall, the velocity simultaneously reaches closer to zero.
P is the wetted perimeter in ft (m for S.I. units) For a flow through annulus calculator: A = (π/4) (Do2 – Di2) P = π (Do + Di) Where D o is the inside diameter of the outer pipe and D. i. is the outside diameter of the inner pipe. …
Estimate the pressure gradient required to maintain a steady flow of 0.3 m3/min of this polymer solution through the annulus between a 10 mm and a 20 mm diameter tube. Solution 10 3 oR = — x 10-3 = 0.005 m From Table 3.2, for o = 0.5 and n = 0.5, k = 0.728 Substituting these values in equation (3.82) 0.3 (0.5) (3.14) (0.01)3 /-Ap 2 / 0.01 2
The outer wall of the annulus is assumed to be insulated so heat transfer occurs across the wall separating the annulus from the pipe. The area used for heat transfer should be the area of this wall. ... The procedure will determine if the flow is laminar or turbulent. Transitional flow is assumed to occur for Reynolds numbers (based on ...
The circumstance considered is that of laminar axial 'Poiseuille' flow in the annular region between the two non-concentric cylinders, accompanied by a secondary, generally chaotic, flow induced via alternate rotation of the cylinders.
Flow through an "annular orifice". I need some help in determining the flow through what I will call an "annular orifice". 1. I have a smooth pipe with an inside diameter of 24 in. 2. Centered in that pipe is a thin plate with an outside diameter that is 0.08 in. smaller than the inside diameter of the pipe. 3.
The steady-state continuity Since a is the charge per unit area, a = QlA, then the field between the plates is E = ~~ e0A The relation between electric field and electric potential, as given by Eq PARALLEL FLOW OVER FLAT PLATES Laminar and turbulent regions of the boundary layer during flow over a flat plate A solution is obtained by perturbing the creeping-flow.
Dec 1964. E. M. Sparrow. S. H. Lin. A new analytical method has been applied for determining the developing laminar flow in the hydrodynamic entrance region of annular ducts. Detailed results are ...
This new diameter accounts for both annular geometry and the effects of a non-Newtonian fluid. It provides the link between Newtonian pipe flow and non-Newtonian flow through concentric annuli. The method is valid in any flow regime and can be used to determine whether a non-Newtonian flow is laminar, transitional, or turbulent.
3.6 Laminar flow in a concentric annulus The flow of non-Newtonian fluids through concentric and eccentric annuli represents an idealisation of …
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 f low...