Search references for TWO PHASE-FLOW. Phrases containing TWO PHASE-FLOW
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Flow of gas and liquid in the same conduit
mechanics, two-phase flow is a flow of gas and liquid — a particular example of multiphase flow. Two-phase flow can occur in various forms, such as flows transitioning
Two-phase_flow
Topics referred to by the same term
Two-phase may refer to: Two-phase electric power Two-phase commit protocol Two-phase flow Two-phase locking Binary phase, chemical compounds composed of
Two-phase
Ratio of void volume and total volume of a porous material
In gas-liquid two-phase flow, the void fraction is defined as the fraction of the flow-channel volume that is occupied by the gas phase or, alternatively
Porosity
Simultaneous flow of materials with two or more thermodynamic phases
In fluid mechanics, multiphase flow is the simultaneous flow of materials with two or more thermodynamic phases. Virtually all processing technologies
Multiphase_flow
Manner in which fluids behave when flowing through a porous medium
gas flow, elastic energy driven flow, oil-gas two-phase flow, and gas-water two-phase flow. The physicochemical flow process will involve various physical
Fluid flow through porous media
Fluid_flow_through_porous_media
Conservation law for two-phase flow in porous media
Buckley–Leverett equation is a conservation equation used to model two-phase flow in porous media. The Buckley–Leverett equation or the Buckley–Leverett
Buckley–Leverett_equation
Analysis and solving of problems that involve fluid flows
assumptions/simplifications taken in equations of a flow that is single-phase (see multiphase flow and two-phase flow), single-species (i.e., it consists of one
Computational_fluid_dynamics
flows refers to a class of two-phase fluid flow, in which one of the phases is continuously connected (referred to as the continuous or carrier phase)
Particle-laden_flow
In fluid mechanics, slug flow in liquid–gas two-phase flow is a type of flow pattern. Lighter, faster moving continuous fluid which contains gas bubbles
Slug_flow
(two-phase) flow, is defined as the ratio of the velocity of the gas phase to the velocity of the liquid phase. In the homogeneous model of two-phase flow
Slip_ratio_(gas–liquid_flow)
Dimensionless parameter in fluid mechanics
used in internal two-phase flow calculations. It expresses the liquid fraction of a flowing fluid. Its main application is in two-phase pressure drop and
Lockhart–Martinelli_parameter
Dimensionless measure of a porous material's permeability
multiphase flow in porous media, the relative permeability of a phase is a dimensionless measure of the effective permeability of that phase. It is the
Relative_permeability
Protruding bulb at the front of a ship
Hydrodynamics: Wakes, Free Surface Effects, Boundary Layers and Viscous Flows, Two-phase Flow, Propeller/appendage/hull Interaction, Washington, DC: Office of
Bulbous_bow
numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. They include the Reynolds and the
Dimensionless numbers in fluid mechanics
Dimensionless_numbers_in_fluid_mechanics
Safety valve used to control or limit the pressure in a system
the prediction of two-phase flow venting and the applicability of various sizing methods for two-phase vapor-liquid flashing flow. DIERS became a user's
Relief_valve
Study of hydraulic flow in thermal fluids
distribution. In single-phase heat transfer, convection is often the dominant mechanism of heat transfer. For adiabatic flow where the flow receives heat, the
Thermal_hydraulics
Carbon dioxide above its critical point
cycle efficiency. Unlike two-phase flow, the single-phase nature of sCO 2 eliminates the necessity of a heat input for phase change that is required for
Supercritical_carbon_dioxide
Wave on the surface of a fluid, dominated by surface tension
which the two dispersions cancel out.) Capillary action Dispersion (water waves) Ocean surface wave Thermal capillary wave Two-phase flow Wave-formed
Capillary_wave
Free-surface modelling technique
interface using discrete values of fluid velocity. In two-phase flows in which the properties of the two phases are vastly different, errors in the computation
Volume_of_fluid_method
Heat flux at which boiling is no longer an effective method of heat transfer
surface and undergoes a change in phase. In flow boiling systems, the saturated fluid progresses through a series of flow regimes as vapor quality is increased
Critical_heat_flux
Process of removing waste heat from a computer
The heat transfer can be further increased using two-phase flow cooling and by integrating return flow channels (hybrid between micro-channel heatsinks
Computer_cooling
Computer science transaction algorithm
In transaction processing, databases, and computer networking, the two-phase commit protocol (2PC, tupac) is a type of atomic commitment protocol (ACP)
Two-phase_commit_protocol
is for example the case of dense vapors, supercritical flows and compressible two-phase flows. With the term dense vapors, we indicate all fluids in the
Non ideal compressible fluid dynamics
Non_ideal_compressible_fluid_dynamics
American aerospace engineer and academic
Her research focuses on jet noise, low-density flows, two-phase flows, and especially hypersonic flows. Sherman was born in New York in 1921 to Polish
Pauline_Sherman
Physical process
The same system may have regions that are liquid, gas, and two-phase flow. Such two phase regimes can lead to some of the best heat transfer coefficients
Boiling
Pump using density difference due to injected air in the liquid
flow and moves in the same direction as the air. The calculation of the volume flow of the liquid is possible thanks to the physics of two-phase flow
Airlift_pump
Highly agitated, chaotic fluid motion
Churn turbulent flow is a two-phase gas/liquid flow regime characterized by a highly-agitated flow where gas bubbles are sufficient in numbers to both
Churn_turbulent_flow
Theory of traffic flow
into two distinct phases, synchronized flow and wide moving jam, bringing the total number of phases to three: Free flow (F) Synchronized flow (S) Wide
Three-phase_traffic_theory
Quantity in a hydraulic circuit
cavitation, as they are better able to pump two-phase flow (the mixture of gas and liquid), however, the resultant flow rate of the pump will be diminished because
Net_positive_suction_head
Jet engine where combustion takes place in supersonic airflow
scramjet operation problems. Boundary layer modeling, turbulent mixing, two-phase flow, flow separation, and real-gas aerothermodynamics continue to be problems
Scramjet
Form of alternating current
three-phase system, each of the three phases is offset by 120 degrees of phase shift relative to the others. This arrangement produces a more constant flow
Three-phase_electric_power
Device
A multiphase flow meter is a device used to measure the individual phase flow rates of constituent phases in a given flow (for example in oil and gas industry)
Multiphase_flow_meter
multiphase flow (one vector equation for each fluid phase) in porous media as a generalisation of Darcy's equation (or Darcy's law) for water flow in porous
Darcy's law for multiphase flow
Darcy's_law_for_multiphase_flow
American academic
studies of microscale transport and fluid flow phenomena, electrokinetics phenomena, two-phase flow, and coupled flow and reaction processes. This research
Juan_G._Santiago
Pressure surge when a fluid is forced to stop or change direction suddenly
09.027 – via Elsevier. Tiselj, I.; Petelin, S. (1997). "Modelling of Two-Phase Flow with Second-Order Accurate Scheme". Journal of Computational Physics
Hydraulic_shock
Oil and gas industry term for transfer of physical substance from one operator to another
the user about the occurrence of two-phase flow. Modern principles based on the Coriolis effect or ultrasonic flow measurement will inform the user by
Custody_transfer
{\displaystyle m_{\ell }} is the liquid phase mass flow rate; m g {\displaystyle m_{g}} is the gas phase mass flow rate; ρ g {\displaystyle \rho _{g}} is
Wet_gas
fluid flow phenomenon whereby counter-current two-phase flow is reversed and runs concurrent in the direction of the initial gas/vapor phase flow when
Flooding (nuclear reactor core)
Flooding_(nuclear_reactor_core)
by adding more experiments, in particular including measurements of two-phase flow properties, determining relative permeability, capillary pressure, wettability
Special_core_analysis
Technique in analytical chemistry
mixtures of various solvents (the mobile phase, e.g., water, buffers, acetonitrile and/or methanol) to flow through a sample mixture and pick up analytes
High-performance liquid chromatography
High-performance_liquid_chromatography
Flow where fluid particles follow smooth paths in layers
between two flat plates, either of two types of flow may occur depending on the velocity and viscosity of the fluid: laminar flow or turbulent flow. Laminar
Laminar_flow
Industrial liquid purification method
PMID 20060529. Fontalvo Alzate, Javier (2006). Design and performance of two-phase flow pervaporation and hybrid distillation process. Technische Universiteit
Pervaporation
Nuclear reactor where water boils in core
the two-phase flow in cyclone separators, the steam is separated and rises upwards towards the steam dryer while the water remains behind and flows horizontally
Boiling_water_reactor
Forms which matter can take
solids. Generally, they are able to flow like a liquid but exhibit long-range order. For example, the nematic phase consists of long rod-like molecules
State_of_matter
Characteristic of rocket engine nozzles
the most dominant inefficiency). η t {\displaystyle \eta _{t}} is the two-phase flow loss efficiency. η f {\displaystyle \eta _{f}} is the skin friction
Thrust_coefficient
Japanese scientist (born 1963)
constitutive equations for predicting mini-channel two-phase fluid dynamics in International Journal of Multiphase Flow. These equations are known as Mishima-Hibiki
Takashi_Hibiki
In fluid dynamics, the Ledinegg instability occurs in two-phase flow, especially in a boiler tube, when the boiling boundary is within the tube. For a
Ledinegg_instability
Constraints to computational problems
Budman, Hector (2018). "On the use of physical boundary conditions for two-phase flow simulations: Integration of control feedback". Computers & Chemical
Boundary conditions in fluid dynamics
Boundary_conditions_in_fluid_dynamics
Computational fluid dynamics software package
under free software licences. Its two-phase extension, Neptune_CFD, co-developed by EDF and the CEA, handles two-phase flows such as water-steam and water-air
Code_Saturne
Class of computational fluid dynamics methods
resolved multi-phase flow with small droplets and bubbles. Fully resolved flow through complex geometries and porous media. Complex, coupled flow with heat
Lattice_Boltzmann_methods
Dimensionless group in fluid mechanics
(2023). "The Physics and Manipulation of Dean Vortices in Single- and Two-Phase Flow in Curved Microchannels: A Review". Micromachines. 14 (12): 2202. doi:10
Dean_number
Mass fraction of a saturated mixture which is vapor
Engineers' Handbook (7th Edition), p 13-29 Ghiaasiaan, S. Mostafa (2008). Two-phase flow, boiling and condensation in conventional and miniature systems. New
Vapor_quality
Group of techniques based on MRI to image blood vessels
different phase since it moves constantly through the gradient, thus also giving its speed of the flow. Since phase-contrast can only acquire flow in one
Magnetic resonance angiography
Magnetic_resonance_angiography
manipulate discrete volumes of fluids in immiscible phases with low Reynolds number (<< 2300) and laminar flow regimes. Interest in droplet-based microfluidics
Droplet-based_microfluidics
Mixture of two or more immiscible liquids
emulsion is a mixture of two or more liquids that are normally immiscible (unmixable or unblendable) owing to liquid-liquid phase separation. Emulsions are
Emulsion
Research laboratory in Germany
"Rossendorf Beamline at ESRF". HZDR. "PET Center". HZDR. "TOPFLOW - Transient Two Phase Flow Test Facility". HZDR. Stefani, F.; Eckert, S.; Gerbeth, G.; Giesecke
Helmholtz-Zentrum Dresden-Rossendorf
Helmholtz-Zentrum_Dresden-Rossendorf
Technique for managing measurement of fluid flows
single-phase conditions but inaccurate to measure two-phase flows. It poses a complex fluid structure interaction problem in case of two-phase operation
Flow_conditioning
multiphase flow system is one characterized by the simultaneous presence of several phases, the two-phase system being the simplest case. The term ‘two-component’
Multiphase_heat_transfer
Unintended transport of liquids in gas pipelines
liquid phases may not fully separate, leading to wet gas or two-phase flows. These can occur as mist flow (tiny liquid droplets) or stratified flow (a liquid
Liquid_carryover
BOINC based volunteer computing project researching microgravity and microfluidics
μFluids@Home is a computer simulation of two-phase flow behavior in microgravity and microfluidics problems at Purdue University, using the Surface Evolver
UFluids@Home
Pipeline component
multi-phase pipeline. Pipelines that transport both gas and liquids together, known as two-phase flow, can operate in a flow regime known as slugging flow or
Slugcatcher
Indian scientist (1944–2019)
Pattamadai Narasimhan (1968). I. The effect of droplet solidification upon two-phase flow in a rocket nozzle. II. A kinetic theory investigation of some
P._N._Shankar
Chinese thermal engineer and professor (1933–2019)
Jiaotong University. Known for the "Lin formula" which is widely used in two-phase flow measurements, he was elected an academician of the Chinese Academy of
Lin_Zonghu
Four-stage model of physiological responses to sexual stimulation
sexual response cycle model. The excitement phase (also known as the arousal phase or initial excitement phase) is the first stage of the human sexual response
Human_sexual_response_cycle
Swedish applied mathematician
especially for problems arising in fluid dynamics including two-phase flow, shear flow, and Burgers' equation. She is professor of numerical analysis
Gunilla_Kreiss
Opposition to the passage of an electric current
electrical resistance of an object is a measure of its opposition to the flow of electric current. Its reciprocal quantity is electrical conductance, measuring
Electrical resistance and conductance
Electrical_resistance_and_conductance
Budman, Hector (2018). "On the use of physical boundary conditions for two-phase flow simulations: Integration of control feedback". Computers & Chemical
Boundary conditions in computational fluid dynamics
Boundary_conditions_in_computational_fluid_dynamics
Mathematical model of the time dependence of a point in space
conservation on the phase space, or incompressibility of the flow[citation needed], extra integral of motions induce further foliations on the phase space.[citation
Dynamical_system
Space manufacturing and fluid behavior
(1996-11-01). "Capillary Flow in an Interior Corner". NASA Technical Memorandum 107364. Zhao, Jian-fu (2010-02-01). "Two-phase flow and pool boiling heat
Low-gravity process engineering
Low-gravity_process_engineering
synchronized flow is not self-maintained during the front propagation. This is the common feature of synchronized flow that is one of the two phases of traffic
Traffic congestion reconstruction with Kerner's three-phase theory
Traffic_congestion_reconstruction_with_Kerner's_three-phase_theory
Space of all possible states that a system can take
space; a one-dimensional system is called a phase line, while a two-dimensional system is called a phase plane. For every possible state of the system
Phase_space
Accumulation of unwanted material on solid surfaces
oscillations, slugging in two-phase flow, cavitation; may increase flow velocity elsewhere, may induce vibrations, may cause flow blockage; Ship hulls –
Fouling
1997 American crewed spaceflight
with high effective conductivity in zero gravity. LHP was a passive, two-phase flow heat transfer device that was capable of transporting up to 400 watts
STS-87
Porous material made from a metal
Ortega, Alfonso; Zlatinov, Metodi; Schaffarzick, Denver (2023-05-30). "Two-phase flow in compressed copper foam with R134a for high heat flux thermal management:
Metal_foam
Ratio of active power to apparent power
less than one, the voltage and current are not in phase, which reduces the average product of the two. A negative power factor occurs when the device (normally
Power_factor
Iranian scientist (born 1952)
experimental studies, and modeling work. In particular, he focuses on two-phase flow, reactive transport in variably-saturated porous media, transport of
Majid_Hassanizadeh
American mechanical engineer
different geometries. His 1990 paper "A General Correlation for Saturated Two-Phase Flow Boiling Heat Transfer Inside Horizontal and Vertical Tubes," published
Satish_Kandlikar
Computational problem in graph theory
maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can
Maximum_flow_problem
for incompressible flows was released in 2012. FLACSv10.0 also constitutes a Homogeneous Equilibrium Model (HEM) for two-phase flow calculations. CFX (proprietary
FLACS
Sequencing method for traffic signal phases
when overlapping phase sequences are used. A barrier may be added in the ring diagram to separate the crossing or conflicting traffic flow, which produces
Traffic_signal_phasing
American fluid mechanist
particles, the dynamics of vortices in wall turbulence, and the theory of two-phase flow, including the equilibrium Euler formulation for dispersion force. He
Sivaramakrishnan_Balachandar
Finite element framework software
well-posed seven-equation two-phase flow model (liquid, gas, and interface pressures) versus the obsolete ill-posed six-equation flow model (non-physical mixture
MOOSE_(software)
3D imaging technology
applied primarily to multiphase flows. It was introduced in the early 2000s as an extension of the conventional two-dimensional ECT. In conventional
Three-dimensional electrical capacitance tomography
Three-dimensional_electrical_capacitance_tomography
Concept in numerical analysis
and applied to a wide range of fluid mechanics problems, including two-phase flows, fluid-structure interactions, and wave energy converters. Adaptive
Adaptive_mesh_refinement
Passive heat exchanger that transfers heat
board (PCB), to a heat sink, to air flow provided by a fan, but in all instances, eventually to the environment. Two additional design factors also influence
Heat_sink
British engineer
Wiley & Sons. ISBN 9781119014454. Greaves, Deborah (2012). "Air–water two-phase flow modelling of hydrodynamic performance of an oscillating water column
Deborah_Greaves
Tiny device in which chemical reactions take place
Nanoparticles Reinforce Augmentation of Mass Transfer in Millichannels for Two-Phase Flow Systems". Industrial & Engineering Chemistry Research. 61 (10): 3672–3684
Microreactor
Equation in fluid dynamics
2019-07-13 at the Wayback Machine for single phase flows. Pipe pressure drop calculator for two phase flows. Archived 2019-07-13 at the Wayback Machine
Darcy–Weisbach_equation
Movement of money into or out of a business, project, or financial product
Cash flow, in general, refers to payments made into or out of a business, project, or financial product. It can also refer more specifically to a real
Cash_flow
Electrical circuit detecting phase difference
difference in phase between two signal inputs. The phase detector is an essential element of the phase-locked loop (PLL). Detecting phase difference is
Phase_detector
Measurement in petroleum engineering
(TEM), also called TEM-function is a criterion to characterize dynamic two-phase flow characteristics of rocks (or dynamic rock quality). TEM is a function
TEM-function
Combination technology for wastewater treatment
or less of those in the first generation) and the idea to use two-phase (bubbly) flow to control fouling. The lower operating cost obtained with the
Membrane_bioreactor
Type of electrochemical cell
A flow battery, or redox flow battery (after reduction–oxidation), is a type of electrochemical cell where chemical energy is provided by two chemical
Flow_battery
52nd Long-duration mission to the International Space Station
them easier to handle in microgravity. Whitson also setup gear for a Two Phase Flow experiment that studied interfacial behaviors of perfluorohexane, an
Expedition_52
Greek-British applied scientist, engineer and university professor
diverse problems such as compressible fluid/solid interactions, two-phase flows, oil and gas flows, Coronavirus transmission and weather effects. Acoustics:
Dimitris_Drikakis
Measuring device
there is mass flow the two vibrations are out of sync: the inlet arm is behind, the outlet arm is ahead. The two vibrations are shifted in phase with respect
Mass_flow_meter
Function in fluid dynamics
porosity may vary. This function is also widely used in modeling the two-phase flow of water and gas within Proton exchange membrane fuel cells. A high
Leverett_J-function
Gamma ray Imaging method
Hunt, Andy; Maad, Rachid; Hjertaker, Bjorn Tore (2021). "Multimodal Two-Phase Flow Measurement Using Dual Plane ECT and GRT". IEEE Transactions on Instrumentation
Gamma_ray_tomography
Principle and Practice of Slurry Flow, Butterworth Publ., Boston, 334 p., 1991. Mihail C. Roco, Particulate Two-Phase Flow., Butterworth Publ., Boston, 1050
Mihail_Roco
2016 Japanese resupply spaceflight to the ISS
crew commodities, CDRA Bed (Carbon Dioxide Removal Assembly), TPF (Two-Phase Flow) experiment unit, PS-TEPC (Position-Sensitive Tissue Equivalent Proportional
Kounotori_6
TWO PHASE-FLOW
TWO PHASE-FLOW
Boy/Male
Welsh
gift from God'.
Boy/Male
German
Chase; Hunt
Surname or Lastname
German
German : nickname for a swift runner or a timorous person, from Middle High German, Middle Low German hase ‘hare’.Jewish (Ashkenazic) : ornamental name from German Hase ‘hare’.English : from a Middle English nickname, Hase, from Old English hÄs ‘harsh, raucous, or hoarse voice’.Japanese : usually written with characters meaning ‘long valley’; habitational name from a place in Yamato (now Nara prefecture). Listed in the Shinsen shÅjiroku. Some bearers are descended from the Taira clan; they are found mainly in eastern Japan. Also pronounced Nagaya and Nagatani; the original pronunciation was Hatsuse, meaning ‘beginning of the strait’.
Male
French
French form of Latin Stephanus, STÉPHANE means "crown."
Boy/Male
German, Polish
Yew Tree
Boy/Male
Spanish
God. Abbreviation of names like Mateo and Teodor.
Surname or Lastname
English
English : from Middle English pese ‘pea’, hence a metonymic occupational name for a grower or seller of peas, or a nickname for a small and insignificant person. The word was originally a collective singular (Old English peose, pise, from Latin pisa) from which the modern English vocabulary word pea is derived by folk etymology, the singular having been taken as a plural.Robert and John Pease came from Great Baddow, Essex, England, to Salem, MA, in 1634. In 1644 Robert died, leaving a son (also called Robert) who was apprenticed as a weaver in Salem. By 1646 John Pease was living on Martha’s Vineyard.
Girl/Female
Tamil
Phase, Time of day
Male
Welsh
Welsh form of English Tom, TWM means "twin."
Male
English
Middle English surname (of Norman French origin) transferred to forename use, CHASE means "hunter."Â
Surname or Lastname
English
English : perhaps, as Reaney proposes, a variant of Tough.
Male
Chinese
the way.
Male
Polish
Polish form of Latin Ivo, IWO means "yew tree."
Girl/Female
African, Australian
Awesome
Boy/Male
American, Australian, British, Chinese, Christian, English, French
Huntsman; Hunter
Boy/Male
English American
Huntsman.
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Phase; Time of Day
Girl/Female
Indian, Telugu
A Phase of Life; Childhood
Girl/Female
Australian, Chinese
Peach
Surname or Lastname
English
English : metonymic occupational name for a huntsman, or rather a nickname for an exceptionally skilled huntsman, from Middle English chase ‘hunt’ (Old French chasse, from chasser ‘to hunt’, Latin captare).Southern French : topographic name for someone who lived in or by a house, probably the occupier of the most distinguished house in the village, from a southern derivative of Latin casa ‘hut’, ‘cottage’, ‘cabin’.Thomas Chase came to MA from Chesham, Buckinghamshire, England, in the 1640s, and had many prominent descendants. Samuel Chase, born in Somerset Co., MD, in 1741, was one of the first members of the U.S. Supreme Court; Philander Chase, born in Cornish, NH, in 1741 was a prominent Episcopal clergyman, and his nephew Salmon Portland Chase (1808–73), also born in Cornish, was governor of OH, a U.S. senator, and secretary of the U.S. Treasury during the Civil War.
TWO PHASE-FLOW
TWO PHASE-FLOW
Girl/Female
Native American
Rippling water.
Male
Welsh
 Welsh form of Hebrew Yohanan, IWAN means "God is gracious." Compare with another form of Iwan.
Boy/Male
Tamil
Knowledge
Boy/Male
Indian
Name of Shankar jee
Boy/Male
Hindu
Goddess Parvati, Compassionate
Boy/Male
Muslim
White stone, Marble
Boy/Male
Tamil
Dushasana | தà¯à®·à®¾à®¸à®¨à®¾
One of the kauravas
Boy/Male
Hindu, Indian
Unconquerable; Invincible
Girl/Female
Arabic
Peace
Girl/Female
Indian, Modern, Tamil
Stable for Anything
TWO PHASE-FLOW
TWO PHASE-FLOW
TWO PHASE-FLOW
TWO PHASE-FLOW
TWO PHASE-FLOW
n.
See Phase.
v. t.
To cut, so as to make a screw thread.
v. i.
To give chase; to hunt; as, to chase around after a doctor.
n.
A symbol representing two units, as 2, II., or ii.
v. t.
To chase.
a.
Without a phase, or visible form.
n.
That which is exhibited to the eye; the appearance which anything manifests, especially any one among different and varying appearances of the same object.
n.
A particular appearance or state in a regularly recurring cycle of changes with respect to quantity of illumination or form of enlightened disk; as, the phases of the moon or planets. See Illust. under Moon.
v. t.
To chase again; to chase or drive back.
n.
A brief expression, sometimes a single word, but usually two or more words forming an expression by themselves, or being a portion of a sentence; as, an adverbial phrase.
n.
Any appearance or aspect of an object of mental apprehension or view; as, the problem has many phases.
pl.
of Phase
n.
The liberty or franchise of having a chase; free chase.
n.
The sum of one and one; the number next greater than one, and next less than three; two units or objects.
v. i.
To group notes into phrases; as, he phrases well. See Phrase, n., 4.
n.
One and one; twice one.
n.
Any one point or portion in a recurring series of changes, as in the changes of motion of one of the particles constituting a wave or vibration; one portion of a series of such changes, in distinction from a contrasted portion, as the portion on one side of a position of equilibrium, in contrast with that on the opposite side.
v. t.
To express in words, or in peculiar words; to call; to style.
v. t.
The act of towing, or the state of being towed; --chiefly used in the phrase, to take in tow, that is to tow.
v. t.
To follow as if to catch; to pursue; to compel to move on; to drive by following; to cause to fly; -- often with away or off; as, to chase the hens away.