Prediction of laminar and turbulent flow heat transfer in ...

Prediction of laminar and turbulent flow heat transfer in annular passages A Dissertation Submitted to the Graduate Faculty in Partial Fulfillment of

Taylor diffusion in laminar flow in an eccentric annulus ...

Taylor diffusion in laminar flow along a straight pipe, the cross-section of which is an eccentric annulus, is studied analytically by an exact method which in principle is valid for all values of time.

EXAMPLE: Water Flow in a Pipe

EXAMPLE: Water Flow in a Pipe P 1 > P 2 Velocity profile is parabolic (we will learn why it is parabolic later, but since friction comes from walls the shape is intu …

(PDF) Laminar Flow in Concentric Annulus with a Moving Core

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.

Flow through an "annular orifice". - Pipelines, Piping and ...

Sep 16, 2005· Flow through an annulus is more complicated than flow through an orifice so empiraical data seems to be needed. This is discussed in Lenkei,A. (1965), "Close Clearance Orifices", Product Engineering, 4/26/65. pp. 57-61.

Fluid Dynamics - Equation Proof - Laminar Flow in an ...

Fluid Dynamics - Equation Proof - Laminar Flow in an Annulus with an Inner Shaft The velocity distribution may be written as Vz = [1-(r/R)^2]. With boundary conditions Vz = 0 at r = r-outer and Vz = 0 at r = r-inner, the velocity distributionbecomes:

Laminar Steady‐State Magnetohydrodynamic Flow in an ...

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.

Fully Developed Laminar Fluid Flow and Heat Transfer in an ...

Fully Developed Laminar Fluid Flow and Heat Transfer in an Eccentric Annulus With an Axially Moving Core. T. Shigechi, S. Momoki and Y. Lee ... Fully Developed Laminar Fluid Flow and Heat Transfer in an Eccentric Annulus With an Axially Moving Core.

The developing laminar flow and pressure drop in the ...

A new analytical method lias been applied for determining the developing laminar flow in the hydrodynamic entrance region of annular ducts. Detailed results are presented for the development of the velocity distribution and the pressure drop over a wide range of annulus radius ratios r 1 /r 2 (r 1 = inner radius of anmdus, r 2 = outer radius of annulus). It is found that the pressure drop and ...

Fluid velocity profile development for turbulent flow in ...

developed, incompressible and laminar fluid flow in an annulus can be derived analytically as shown, for example, in the text by Lamb (24), by solving the Navier-Stokes equations

LAMINAR FLOW IN CONCENTRIC ANNULUS WITH A MOVING …

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

laminar flow in an annulus - Pipelines, Piping and Fluid ...

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.

Investigation of Laminar Flow Frictional Losses in a Large ...

Investigation of Laminar Flow Frictional Losses in a Large Hydraulic Diameter Pipe and Annulus. P. Suresh Kumar Department of Ocean Engineering and Naval Architecture

Solved: The velocity profile for laminar flow in an ...

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 …

Rotating Cylinders, Annuli, and Spheres

laminar to turbulent flow are affected by these forces and therefore drag too. The boundary layer on a rotating body of revolution in an axial flow consists of the axial component of velocity and the circumferential component due to the

Tangential flow development for laminar axial flow in an ...

The numerical finite-difference procedure of Gosman et al. (1969) is used to predict the growth of the tangential velocity profile and boundary-layer displacement thickness across an isothermal laminar axial flow through a concentric annulus when the inner cylinder is rotated at speeds which are insufficient to generate Taylor vortices.

Axial laminar flow in an eccentric annulus: An approximate ...

Axial Laminar Flow in an Eccentric Annulus: an Approximate Solution ISMAIL TOSUN Department of Chemical Engineering Middle East Technical University Ankara, Turkey INTRODUCTION 4 = (cothvr - cothq,) While the problem of fluid flow in a concentric annulus has received much attention in the past, only ...

Laminar Flow in an Annulus with Porous Walls: Journal of ...

When certain restrictions are applied to the radial component of flow it is possible to obtain an exact solution to the Navier‐Stokes equations describing the steady‐state flow of an incompressible fluid in an annulus having porous walls. The effects of such restricted radial flows on the characteristics of the flow field have been examined.

Chapter 8 One-Dimensional Laminar Flows

Forced flow through the annulus between concentric round tubes of different diameters 4. Gravitational flow of a liquid film down an inclined or vertical plane 5. Gravitational flow of a liquid film down the inner or outer surface of a round ... Poiseuille Flow Poiseuille law describes laminar flow of a Newtonian fluid in a round tube (case 1 ...

4. TUBULAR REACTORS WITH LAMINAR FLOW

For an exercise this equation should be derived by making a balance on an annular cylindrical region of length z, inner radius r and outer radius r. We should render this equation dimensionless by defining: = z ... developed laminar flow of Newtonian fluid in a pipe …

What is nusselt number for laminar flow in annulus?

My recommendation would be to retain Nusselt number of 3.66 for the laminar flow . For the heat Transfer coefficient use the hydraulic Diameter of the annulus.

Laminar Flow of Non-Newtonian Fluids in an Eccentric Annulus

The volumetric flow rate for the steady flow of power-law and Bingham-plastic fluids in eccentric annuli is presented as a series of dimensionless plots. The plots cover a broad range of fluid properties, pipe diameters, eccentricity, and pressure drop.

Laminar hydromagnetic flow in an annulus with uniformly ...

139 Laminar Hydromagnetic Flow in an Annulus with Uniformly Porous Walls of Different Permeability By SAHADEB NANDI1) Summary - The problem of steady laminar hydromagnetic flow in a porous annulus of different permeability in the presence of a magnetic field is considered and solved by a method of perturbation.

Hydrodynamic Entry Length of Flow Through Circular Annulus

Dec 18, 2014· I might be going crazy or searching at the wrong places. Is there an empirical formula for solving the hydrodynamic entry length of laminar flow through a circular annulus?