Find link

language: af: Afrikaans als: Alemannisch [Alemannic] am: አማርኛ [Amharic] an: aragonés [Aragonese] ar: العربية [Arabic] arz: مصرى [Egyptian Arabic] as: অসমীয়া [Assamese] ast: asturianu [Asturian] az: azərbaycanca [Azerbaijani] azb: تۆرکجه [Southern Azerbaijani] ba: башҡортса [Bashkir] bar: Boarisch [Bavarian] bat-smg: žemaitėška [Samogitian] be: беларуская [Belarusian] be-tarask: беларуская (тарашкевіца) [Belarusian (Taraškievica)] bg: български [Bulgarian] bn: বাংলা [Bengali] bpy: বিষ্ণুপ্রিয়া মণিপুরী [Bishnupriya Manipuri] br: brezhoneg [Breton] bs: bosanski [Bosnian] bug: ᨅᨔ ᨕᨘᨁᨗ [Buginese] ca: català [Catalan] ce: нохчийн [Chechen] ceb: Cebuano ckb: کوردیی ناوەندی [Kurdish (Sorani)] cs: čeština [Czech] cv: Чӑвашла [Chuvash] cy: Cymraeg [Welsh] da: dansk [Danish] de: Deutsch [German] el: Ελληνικά [Greek] en: English eo: Esperanto es: español [Spanish] et: eesti [Estonian] eu: euskara [Basque] fa: فارسی [Persian] fi: suomi [Finnish] fo: føroyskt [Faroese] fr: français [French] fy: Frysk [West Frisian] ga: Gaeilge [Irish] gd: Gàidhlig [Scottish Gaelic] gl: galego [Galician] gu: ગુજરાતી [Gujarati] he: עברית [Hebrew] hi: हिन्दी [Hindi] hr: hrvatski [Croatian] hsb: hornjoserbsce [Upper Sorbian] ht: Kreyòl ayisyen [Haitian] hu: magyar [Hungarian] hy: Հայերեն [Armenian] ia: interlingua [Interlingua] id: Bahasa Indonesia [Indonesian] io: Ido is: íslenska [Icelandic] it: italiano [Italian] ja: 日本語 [Japanese] jv: Basa Jawa [Javanese] ka: ქართული [Georgian] kk: қазақша [Kazakh] kn: ಕನ್ನಡ [Kannada] ko: 한국어 [Korean] ku: Kurdî [Kurdish (Kurmanji)] ky: Кыргызча [Kirghiz] la: Latina [Latin] lb: Lëtzebuergesch [Luxembourgish] li: Limburgs [Limburgish] lmo: lumbaart [Lombard] lt: lietuvių [Lithuanian] lv: latviešu [Latvian] map-bms: Basa Banyumasan [Banyumasan] mg: Malagasy min: Baso Minangkabau [Minangkabau] mk: македонски [Macedonian] ml: മലയാളം [Malayalam] mn: монгол [Mongolian] mr: मराठी [Marathi] mrj: кырык мары [Hill Mari] ms: Bahasa Melayu [Malay] my: မြန်မာဘာသာ [Burmese] mzn: مازِرونی [Mazandarani] nah: Nāhuatl [Nahuatl] nap: Napulitano [Neapolitan] nds: Plattdüütsch [Low Saxon] ne: नेपाली [Nepali] new: नेपाल भाषा [Newar] nl: Nederlands [Dutch] nn: norsk nynorsk [Norwegian (Nynorsk)] no: norsk bokmål [Norwegian (Bokmål)] oc: occitan [Occitan] or: ଓଡ଼ିଆ [Oriya] os: Ирон [Ossetian] pa: ਪੰਜਾਬੀ [Eastern Punjabi] pl: polski [Polish] pms: Piemontèis [Piedmontese] pnb: پنجابی [Western Punjabi] pt: português [Portuguese] qu: Runa Simi [Quechua] ro: română [Romanian] ru: русский [Russian] sa: संस्कृतम् [Sanskrit] sah: саха тыла [Sakha] scn: sicilianu [Sicilian] sco: Scots sh: srpskohrvatski / српскохрватски [Serbo-Croatian] si: සිංහල [Sinhalese] simple: Simple English sk: slovenčina [Slovak] sl: slovenščina [Slovenian] sq: shqip [Albanian] sr: српски / srpski [Serbian] su: Basa Sunda [Sundanese] sv: svenska [Swedish] sw: Kiswahili [Swahili] ta: தமிழ் [Tamil] te: తెలుగు [Telugu] tg: тоҷикӣ [Tajik] th: ไทย [Thai] tl: Tagalog tr: Türkçe [Turkish] tt: татарча/tatarça [Tatar] uk: українська [Ukrainian] ur: اردو [Urdu] uz: oʻzbekcha/ўзбекча [Uzbek] vec: vèneto [Venetian] vi: Tiếng Việt [Vietnamese] vo: Volapük wa: walon [Walloon] war: Winaray [Waray] yi: ייִדיש [Yiddish] yo: Yorùbá [Yoruba] zh: 中文 [Chinese] zh-min-nan: Bân-lâm-gú [Min Nan] zh-yue: 粵語 [Cantonese]

jump to random article

searching for Continuity equation 80 found (230 total)

alternate case: continuity equation

Aortic valve area calculation (1,290 words) [view diff] exact match in snippet view article find links to article

of aortic valve is not routinely performed.[citation needed] The continuity equation states that the flow in one area must equal the flow in a second

equation requires no assumptions about the distribution function. The continuity equation describes how the density changes with time. It can be found by integration

{m}}(v_{1}^{2}-v_{2}^{2}).} Substituting the mass flow rate from the continuity equation yields P = 1 2 ρ S v ( v 1 2 − v 2 2 ) . {\displaystyle P={\tfrac

hydrodynamic stability problems are the Navier–Stokes equation and the continuity equation. The Navier–Stokes equation is given by: ∂ u ∂ t + ( u ⋅ ∇ ) u −

(where we have used the appropriate product rule) is known as the continuity equation. Now, we need the following relation about the total derivative of

probabilities of the elementary processes are known, one can write down a continuity equation for W, from which all other equations can be derived and which we

previous outer loop. Plug the new newly obtained velocity into the continuity equation to obtain a correction. The correction for the velocity that is obtained

rate of decrease of charge in a volume. In differential form this continuity equation becomes: ∇ ⋅ J f = − ∂ ρ f ∂ t , {\displaystyle \nabla \cdot \mathbf

flow. For example, the aortic valve area can be estimated using the continuity equation by measuring the velocity time integral (VTI) of the aortic valve

equation for p {\displaystyle p} is obtained from the continuity equation. Integrating the continuity equation from across the channel and imposing no-penetration

rv_{z}={\frac {\partial \psi }{\partial r}}} that satisfies the continuity equation for axisymmetric flows automatically. The Hicks equation is then

computational purposes, flow is taken as uniform flow. Manning's Equation, Continuity Equation (Q=AV) and channel's cross-section geometrical relations are used

approximation, the primitive equations become (neglecting friction): the continuity equation (accounting for the effects of horizontal convergence and divergence

equations, is that they satisfy the incompressible version of the continuity equation. That is: ∇ ⋅ u = 0 {\displaystyle \nabla \cdot \mathbf {u} =0} ∂

_{0}}{c^{2}}}{\frac {\partial \phi }{\partial t}}\end{aligned}}} Starting with the Continuity Equation and the Euler Equation: ∂ ρ ∂ t + ∇ ⋅ ρ v = 0 ρ ∂ v ∂ t + ρ ( v ⋅

z}}\right)+S_{\phi }=0} …………………………………………………………………….3 Flow should also satisfy continuity equation therefore, ∇ ⋅ ( ρ u ) = 0 {\displaystyle \nabla \cdot (\rho \mathbf

to solve the equations numerically. Hydrologic routing uses the continuity equation for hydrology. In its simplest form, inflow to the river reach is

hypergeometric functions. For two-dimensional potential flow, the continuity equation and the Euler equations (in fact, the compressible Bernoulli's equation

walls be porous with equal velocity V {\displaystyle V} . Then the continuity equation and Navier–Stokes equations for incompressible fluid become ∂ u ∂

first governing equation follows from matter conservation – the continuity equation ∂ ρ ∂ t + 3 H ρ + 1 a ⋅ ∇ ( ρ v → ) = 0   , {\displaystyle {\frac

conservation laws for energy and momentum. The mass continuity equation is a continuity equation, representing the conservation of mass ∂ ρ ∂ t + ∇ ⋅

process-based from other types of erosion models is the use of the sediment continuity equation discussed below. Empirical models relate management and environmental

approximation, the primitive equations become the following: the continuity equation (accounting for the effects of horizontal convergence and divergence

{x}}=1} for each t {\displaystyle t} . Therefore, it must satisfy the continuity equation ∂ ρ ∂ t = − ∇ → ⋅ ( ρ v → ) ( 1 ) {\displaystyle {\frac {\,\partial

the Ekman spiral, diagrammed above and at right. By applying the continuity equation we can have the vertical velocity as following w = 1 f ρ o [ − (

effective orifice area (EOA) calculated for heart valves using the continuity equation. Vena Contracta was a term used by several English shotgun builders

{\displaystyle {\dot {\rho }}_{\rm {s}}=0} as expected from the continuity equation. The second requirement is consistent with the fact that supercurrent

i ω t {\displaystyle \rho (\omega )=\rho _{0}e^{-i\omega t}} the continuity equation: ∇ ⋅ j = − ∂ ρ ∂ t = i ω ρ ( ω ) {\displaystyle \nabla \cdot \mathbf

bottlenecks and the streamlines are bundled. This situation describes the continuity equation for non-turbulent flows. But what happens to the pressure conditions

(Stanford University Process Engineering Models) and PISCES (Poisson and Continuity Equation Solver) simulation tools and software used in Technology Computer

essentially replaces the energy equation. Each species satisfies the continuity equation ∂ t n s + ∇ ⋅ ( n s u → s ) = 0 {\displaystyle \partial _{t}n_{s}+\nabla

ideal induction equation, Gauss's law for magnetism, and the mass continuity equation. The ideal induction equation can be rewritten using a vector identity

to molecular models, it must satisfy the same principles as the continuity equation below (where the advection of an element or species is balanced by

sum of the density of the two components such that it follows a continuity equation ∂ ρ ∂ t + ∇ ⋅ J = 0 , {\displaystyle {\frac {\partial \rho }{\partial

conservation of probability current and density following from the continuity equation: ∇ ⋅ J + ∂ ρ ∂ t = 0   . {\displaystyle \nabla \cdot J+{\frac {\partial

continuous fluid. We look at the momentum equation and the mass continuity equation of an idealized compressible fluid in Cartesian coordinates: ∂ v

the control volume in the changing area of the conduit of Fig. The continuity equation between two sections an infinitesimal distance dx apart is ρ A V

the canonical ensemble average. Hoover (1985) used the phase-space continuity equation, a generalized Liouville equation, to establish what is now known

{\displaystyle {\boldsymbol {r}}_{i}} . Comparing this equation with the continuity equation in the Lagrangian description (using material derivatives), d ρ d

the lateral correlation of velocity at two different points. From continuity equation, we have ∂ R i j ∂ r j = 0 ⇒ g ( r , t ) = f ( r , t ) + r 2 ∂ ∂

Velocity component obtained from predictor step may not satisfy the continuity equation, so we define correction factors p',v',u' for the pressure field

differential equation that describes outflow from each reservoir. The continuity equation for tank models is: d S ( t ) d t = i ( t ) − q ( t ) {\displaystyle

^{2}}w'}{{\partial }z'^{2}}}\right)\,\!} , With the addition of the dimensionless continuity equation (seen below) in any incompressible fluid flow problem the Reynolds

negligible from equation (4). Therefore in fully developed flow, the continuity equation requires that Based on equation (5), the y momentum equation (3)

(Stanford University Process Engineering Models) and PISCES (Poisson and Continuity Equation Solver), were adopted by industry. He founded Technology Modeling

}\rangle \mathrm {d} ^{d}x=0} This is the QFT analog of the Noether continuity equation ∂ μ J μ = 0 {\displaystyle \partial _{\mu }J^{\mu }=0} . If the gauge

base-10. Then one has (famously) that 0.999...= 1.000... which is a continuity equation that must be enforced at every such gap. That is, given the decimal

equation that is essentially a re-statement of the non-relativistic continuity equation. Time in the relativistic probability conservation equation is Einstein's

(October 2008). "Assessing aortic valve area in aortic stenosis by continuity equation: a novel approach using real-time three-dimensional echocardiography"

also equal. If groundwater inputs and evaporation are ignored, the continuity equation is: Qin S0 + Qf Sf = Qout S1 The residence time T is the volume of

long-term continuous simulations. Kinematic wave routing solves the continuity equation along with a simplified form of the momentum equation in each conduit

electric potential. The Hasegawa–Mima equation is derived from the continuity equation: ∂ n ∂ t + ∇ ⋅ ( n v ) = 0. {\displaystyle {\frac {\partial n}{\partial

Fazio, Joseph; Gaurav, Sushant; Chatteerjee, Niladri (March 2008). "Continuity Equation Validation For Nonhomogeneous Traffic". Journal of Transportation

boundary layer solution. This can be easily verified by integrating the continuity equation across the boundary layer. ∫ − ∞ ∞ ∂ u ∂ x d y + ∫ − ∞ ∞ ∂ v ∂ y

be written in terms of ω {\displaystyle {\omega }} based on the continuity equation ∂ u a ∂ x + ∂ v a ∂ y + ∂ ω ∂ p = 0 {\displaystyle {{\partial u_{a}

\cdot V_{2}^{'^{2}}-{\frac {1}{2}}\cdot \rho \cdot V_{1}^{'^{2}}} By continuity equation: q v ′ = A 1 ⋅ V 1 ′ = A 2 ⋅ V 2 ′ {\displaystyle q_{v}^{'}=A_{1}\cdot

closed set of MHD equations consisting of the equation of motion, continuity equation, equation of state, and ideal induction equation (see Magnetohydrodynamics

axisymmetric, i.e., independent of ϕ {\displaystyle \phi } . Then the continuity equation and the incompressible Navier–Stokes equations reduce to 1 r 2 ∂

to reduce the diameter of the flow. For a horizontal device, the continuity equation shows that for an incompressible fluid, the reduction in diameter

method assumes an incompressible fluid phase with the corresponding continuity equation, ∂ θ f ∂ t + ∇ ⋅ ( θ f u f ) = 0 , {\displaystyle {\frac {\partial

lower than those in the wall normal direction. Apply this to the continuity equation shows that υ {\displaystyle \upsilon } , the wall normal velocity

^{2}}{\partial t\partial z}}\Phi '\,+\,N^{2}w'={\frac {\kappa J'}{H}}} continuity equation 1 a cos ⁡ φ ( ∂ u ′ ∂ λ + ∂ ∂ φ ( v ′ cos ⁡ φ ) ) + 1 ϱ o ∂ ∂ z (

perturbation density n b 1 {\displaystyle n_{b1}} , we use the fluid continuity equation for the electron beam ∂ n b ∂ t + ∇ ⋅ ( n b v b ) = 0 {\displaystyle

path. As evident, the equation can be written in the form of the continuity equation ∂ n ∂ t + 1 ω 2 ∂ ∂ ω ( ω 2 j ) = 0 , j = − σ T n e ℏ m e c ω 2 (

the pressure gradient across the valve can be calculated by the continuity equation or using the modified Bernoulli's equation: Gradient = 4(velocity)²

v)=-\nabla P+\nabla .\tau +F+\rho g} This is used in combination with the continuity equation. The energy equation is also needed, which is: ∂ ( ρ E ) ∂ t + ∇

falls by a factor of sixteen (see the solution of the energy density continuity equation for an ultra-relativistic fluid). During inflation, the energy density

\psi )} , is known as the probability flux in accordance with the continuity equation form of the above equation. Using the following expression for wavefunction:

throughout some interconnect segment, is the conventional mass balance (continuity) equation ∂ N ∂ t + ∇ ⋅ J → = 0 {\displaystyle {\frac {\partial N}{\partial

follows from the definition of η {\displaystyle \eta } , from the continuity equation and from the replacement of n {\displaystyle n} by ∂ x η {\displaystyle

{\partial \phi }{\partial x}}\right)_{w}} Integrating this continuity equation over the control volume we get ( ρ u A ) e − ( ρ u A ) w = 0 {\displaystyle

a {\displaystyle a} . The solution in steady-state satisfies the continuity equation. To describe fluid velocity field in the channel, using Navier–Stokes

vector u at an angle θ and time t. This can be done by writing a continuity equation: ∂ P ( θ , t ) ∂ t = − ∂ j ( θ , t ) ∂ θ {\displaystyle {\partial

rates; the three strain rates are not completely arbitrary since the continuity equation requires α + β + γ = 0 {\displaystyle \alpha +\beta +\gamma =0}

v = 0 , w = 0 {\displaystyle u=u(r,\theta ),v=0,w=0} . Then the continuity equation and the incompressible Navier–Stokes equations reduce to ∂ ( r u

one may consider the energy ρ = |q|2 for which one may derive the continuity equation ∂ t ρ + ∇ ⋅ m = S = d r ( q Δ q ∗ + q ∗ Δ q ) + 2 ℓ r ρ + 2 c r ρ

and collisionless gas/star or dark matter by Spherical cow style Continuity Equation on any generic quantity Q of the system: d Q d t ≈ ± Q ( l c ς )

water level. The former of the three equations is referred to as the continuity equation while the others represent the momentum balance in the x {\displaystyle

axial coordinate p = p ( r , z ) {\displaystyle p=p(r,z)} . Then the continuity equation and the incompressible Navier–Stokes equations reduce to 2 u r +

{r}}_{C}({\boldsymbol {u}}^{h})} are the residuals of the momentum equation and continuity equation in strong forms defined as: r M ( u h , p h ) = ρ ∂ u h ∂ t + ρ (