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In fluid dynamics, two types of stream function (or streamfunction) are defined: The two-dimensional (or Lagrange) stream function, introduced by Joseph...

In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry...

Because the fluid is assumed incompressible, this velocity field has the streamfunction representation u ′ = ( u ′ ( x , z , t ) , w ′ ( x , z , t ) ) = ( ψ...

{\displaystyle \varphi (z)} is the complex valued amplitude of the infinitesimal streamfunction perturbations applied to the base flow, k {\displaystyle k} is the wavenumber...

Since the vertically-integrated fluid is horizontally non-divergent, a streamfunction ψ {\textstyle \psi } exists: ψ = 1 β ∫ x e x C u r l ( τ ) d x {\displaystyle...

Because the fluid is assumed incompressible, this velocity field has the streamfunction representation u ′ = ( u ′ ( x , z , t ) , w ′ ( x , z , t ) ) = ( ψ...

law w = Azn, for different values of the power n. Shown is the z-plane, showing lines of constant potential φ and streamfunction ψ, while w = φ + iψ....

as a single streamfunction value ( T 0 {\textstyle T_{0}} ) that resets the subsequent westward integration; note the flat streamfunction regions west...

Streamfunction spin-up obtained from OGCM veros. With 0.5x0.5 degree resolution and 60 vertical layers. Showing how the strength of the streamfunction...

\exp(i\alpha (x-ct))} (real part understood). Using this knowledge, and the streamfunction representation u x ′ = d ϕ ~ / d z , u z ′ = − i α ϕ ~ {\displaystyle...

\zeta } is the relative vorticity, and Ψ {\displaystyle \Psi } is the streamfunction. Hence from the knowledge of vorticity field, the operator can be inverted...

H{\partial T' \over \partial x}-v'f_{0}\Lambda =0} where ψ denotes the streamfunction (which can be used to derive all other variables from quasi-geostrophic...

between each green line). The blue streamlines (equal changes in the streamfunction between the two no-flow boundaries) show the flowpath taken by water...

developed a solution for the internal and external flow field using a streamfunction approach similar to that of creeping flow past a sphere. Taylor confirmed...

m_{z}} and n {\displaystyle n} are constants. The solution for the streamfunction of the flow created by the plate moving towards right is given by ψ...

\exp(i\alpha (x-ct))} (real part understood). Using this knowledge, and the streamfunction representation for the flow, the following dimensional form of the Orr–Sommerfeld...

Horizontal streamfunction displaying the complete Atlantic‐to‐Atlantic Tasman water roundtrip, shown here for ORCA. Contour interval is 1 Sv, the stream...

disturbance velocity components, the equations for disturbances in vorticity-streamfunction formulation can be shown to reduce to ω = − ( ∂ 2 ∂ x 2 + ∂ 2 ∂ y 2...

in both the Eulerian frame, and in the frame with the potential and streamfunction as independent variables. An exact solution for nonlinear pure capillary...

\right)^{2}-\left(\partial _{\xi }\Psi \right)^{2}\right]\;{\text{d}}z.} The streamfunction Ψ is expanded as a Maclaurin series around the bed at z = 0, and using...

{\displaystyle \rho _{0}} is some reference density, with corresponding Stokes streamfunction ψ ′ {\displaystyle \psi '} defined such that r v r ′ = − ∂ ψ ′ ∂ z ...

circulation. The Residual Meridional Overturning Circulation (RMOC), is a streamfunction that quantifies the transport of tracers across isopycnals. Wind stress...

(1959), Tamada (1979) and Dorrepaal (1986). In their approach, the streamfunction takes the form ψ = ν k x F ( η ) + ζ o δ 2 ∫ 0 η H ( η ) d η {\displaystyle...

planetary vorticity and the Montgomery and Cunningham geostrophic streamfunctions. A complete list of featured properties can be found in the TEOS-10...