A Note on the Creeping Flow of a Viscous Liquid in the Region Between a Horizontal Plate and Moving Scraper

1971 ◽  
Vol 38 (4) ◽  
pp. 1056-1057
Author(s):  
J. R. Jones ◽  
T. S. Walters
Keyword(s):  
Viscous Liquid ◽  
Creeping Flow ◽  
Horizontal Plate ◽  
Flow Conditions ◽  
General Flow

The problem of flow of a viscous liquid in the region between a solid horizontal plate and a moving scraper is considered. The work of Rice and McAlister is extended to cover general flow conditions across the boundary.

Process characteristics of screw impellers with a draught tube for Newtonian liquids. Pumping capacity of the impeller

1981 ◽  
Vol 46 (9) ◽  
pp. 2021-2031 ◽  
Author(s):  
Pavel Seichter
Keyword(s):  
Viscous Liquid ◽  
Energy Criterion ◽  
Velocity Profiles ◽  
Newtonian Liquid ◽  
Creeping Flow ◽  
Geometrical Arrangement ◽  
Draught Tube ◽  
Process Characteristics ◽  
Newtonian Liquids

Velocity profiles and pumping capacity have been determined using a thermistor anemometer in a vessel equipped with a screw impeller. In region of the creeping flow of a Newtonian liquid, i.e. for Re <15, the dimensionless pumping capacity is dependent on the geometrical arrangement of the mixing system. The efficiency was assessed of individual configuration from the value energy criterion expressing the dimensionless power requirements for recirculation of a highly viscous liquid in a vessel equipped with a screw impeller.

A 3D DLM/FD method for simulating the motion of spheres and ellipsoids under creeping flow conditions

2018 ◽  
Vol 352 ◽  
pp. 410-425 ◽  
Author(s):  
Tsorng-Whay Pan ◽  
Aixia Guo ◽  
Shang-Huan Chiu ◽  
Roland Glowinski
Keyword(s):  
Creeping Flow ◽  
Flow Conditions

Non-local continuum modelling of steady, dense granular heap flows

2017 ◽  
Vol 831 ◽  
pp. 212-227 ◽  
Author(s):  
Daren Liu ◽  
David L. Henann
Keyword(s):  
Flow Rate ◽  
Creeping Flow ◽  
Decay Length ◽  
Flow Conditions ◽  
Rate Dependent ◽  
Continuum Modelling ◽  
Rapid Flow ◽  
Dense Granular Flow ◽  
Non Local ◽  
Side Walls

Dense granular heap flows are common in nature, such as during avalanches and landslides, as well as in industrial flows. In granular heap flows, rapid flow is localized near the free surface with the thickness of the rapidly flowing layer dependent on the overall flow rate. In the region deep beneath the surface, exponentially decaying creeping flow dominates with characteristic decay length depending only on the geometry and not the overall flow rate. Existing continuum models for dense granular flow based upon local constitutive equations are not able to simultaneously predict both of these experimentally observed features – failing to even predict the existence of creeping flow beneath the surface. In this work, we apply a scale-dependent continuum approach – the non-local granular fluidity model – to steady, dense granular flows on a heap between two smooth, frictional side walls. We show that the model captures the salient features of both the flow-rate-dependent, rapidly flowing surface layer and the flow-rate-independent, slowly creeping bulk under steady flow conditions.

Convective diffusion to a slowly rotating spherical electrode; The effect of axial diffusion in the bulk liquid for Re 10

1985 ◽  
Vol 50 (4) ◽  
pp. 806-827
Author(s):  
Pavel Mitschka ◽  
Ondřej Wein
Keyword(s):  
Mathematical Model ◽  
Convective Diffusion ◽  
Creeping Flow ◽  
Bulk Liquid ◽  
Axially Symmetric ◽  
Flow Conditions ◽  
Transfer Coefficients ◽  
Axial Diffusion ◽  
Spherical Electrode ◽  
Method Of Solution

A complete mathematical model has been solved of the steady axially symmetric convective diffusion toward the surface of a spherical electrode of radius R rotating at an angular velocity Ω under the creeping flow conditions Re ≡ ΩR2ρ/η < 10 and Pe ≡ Ω2R4ρ/(12Dη) > 10 by the method of singular perturbations. For Pe > 300 the effect of axial diffusion has been found entirely negligible; for 10 < Pe < 300 it causes an increase of local transfer coefficients by 1-10%. For Pe < 10 the applied asymptotic method of solution, assuming Pe >> 1 is no longer applicable.

3D Numerical Studies on Variable Thrust Propulsion of Rhinoceros Beetle at Creeping Flow Conditions

2017 ◽  
Author(s):  
Arunkumar B ◽  
Vignesh Saravanan ◽  
Edison Edward A ◽  
Pavithra Murugesh ◽  
VR Sanal Kumar ◽  
...  
Keyword(s):  
Creeping Flow ◽  
Flow Conditions ◽  
Rhinoceros Beetle ◽  
Numerical Studies

Flow along a horizontal plate near a free surface

1993 ◽  
Vol 252 ◽  
pp. 399-418
Author(s):  
Milan Hofman
Keyword(s):  
Boundary Layer ◽  
Free Surface ◽  
Flat Plate ◽  
Viscous Liquid ◽  
Gravity Waves ◽  
Asymptotic Expansions ◽  
Small Amplitude ◽  
Surface Effect ◽  
Matched Asymptotic Expansions ◽  
Horizontal Plate

The problem of flow along a horizontal semi-infinite flat plate moving in its own plane through a viscous liquid just below the free surface is considered. The method of matched asymptotic expansions is used to analyse the interaction between the free surface and the boundary layer formed on the plate. It is found that, due to viscosity, small-amplitude gravity waves on the free surface can be formed. The formulae for the resistance of the plate containing the free-surface effect and for the lift, appearing as a new phenomenon, are derived.

Stokesian motion of a spherical particle near a right corner made by tangentially moving walls

2021 ◽  
Vol 927 ◽  
Author(s):  
Francesco Romanò ◽  
Pierre-Emmanuel des Boscs ◽  
Hendrik C. Kuhlmann
Keyword(s):  
Buoyancy Force ◽  
Settling Velocity ◽  
Slow Motion ◽  
Creeping Flow ◽  
Two Dimensional ◽  
Flow Conditions ◽  
Small Particles ◽  
Gravitational Settling ◽  
Dynamical Regimes ◽  
The Impact

The slow motion of a small buoyant sphere near a right dihedral corner made by tangentially sliding walls is investigated. Under creeping-flow conditions the force and torque on the sphere can be decomposed into eleven elementary types of motion involving simple particle translations, particle rotations and wall movements. Force and torque balances are employed to find the velocity and rotation of the particle as functions of its location. Depending on the ratio of the wall velocities and the gravitational settling velocity of the sphere, different dynamical regimes are identified. In particular, a non-trivial line attractor/repeller for the particle motion exists at a location detached from both the walls. The existence, location and stability of the corresponding two-dimensional fixed point are studied depending on the wall velocities and the buoyancy force. The impact of the line attractors/repellers on the motion of small particles in cavities and its relevance for corner cleaning applications are discussed.

Strut Influences Within a Diffusing Annular S-Shaped Duct

1998 ◽  
Author(s):  
G. Norris ◽  
R. G. Dominy ◽  
A. D. Smith
Keyword(s):  
Gas Turbines ◽  
Total Pressure ◽  
Pressure Measurements ◽  
Computational Results ◽  
Flow Conditions ◽  
Test Rig ◽  
General Flow ◽  
Flow Phenomena ◽  
Physical Features ◽  
Cooling Air

Inter-turbine diffusers which provide flow continuity between the H.P. and L.P. turbines, are increasingly important within modern aero gas turbines, as the fan and hence L.P. turbine diameters increase with thrust. These gas turbines rely on struts within the inter-turbine diffuser to serve both as load bearing supports for inner spools and as passages to supply the engine with vital services such as cooling air and lubrication oil. Experimental measurements have been made on a representative test rig in order to investigate the affect of a ring of struts on both the local and general flow phenomena as well as investigating their effect on overall duct performance. More realistic flow conditions are made available by the use of inlet wakes representative of those created by an upstream turbine row. Measurements include static pressures on the strut and duct surfaces along with velocity and total pressure measurements at various axial locations. From these results calculations of total pressure loss have been made. The experimental results presented in this paper have been used to validate C.F.D. flow predictions on the duct with and without struts. The computational results included, capture the main physical features of the flow but clear limitations are observed and are discussed in this paper.

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