Live briefing
Everything about Stream function
Function for incompressible divergence-free flows in two dimensions
In fluid dynamics, two types of stream function are defined:The two-dimensional stream function, introduced by Joseph Louis Lagrange in 1781, is defined for incompressible (divergence-free), two-dimensional flows. The Stokes stream function, named after George Gabriel Stokes, is defined for incompressible, three-dimensional flows with axisymmetry. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Stream functionA 5-minute orientation
- Skim a recent paper: Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes EquationsInfluential work since 2022
- Pick up a classic book: Numerical solution of transonic stream function equationThe most-reprinted book on the subject
- Read the landmark paper: Structure and Function of Stream EcosystemsCited 950 times
- Go sideways: Beltrami flowA closely related topic
- Go sideways: Laplacian vector fieldA closely related topic
📖 Definitions
Noun A function used to plot streamlines that represent the trajectories of particles in a steady flow.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Structure and Function of Stream Ecosystems
The Role of Macroinvertebrates in Stream Ecosystem Function
Stream ecosystem function in urbanizing landscapes
Stream function representation of nonlinear ocean waves
Stream function approach for determining optimal surface currents
A stream function method for gradient coil design
A stream function solver for liquid simulations
Analysis of sandwich sheet rolling by stream function method
🆕 Influential since 2022
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations
Extended-Chacha20 Stream Cipher With Enhanced Quarter Round Function
Physical Unclonable Function-Based Lightweight and Verifiable Data Stream Transmission for Industrial IoT
Hypersaline mining effluents affect the structure and function of stream biofilm
Alkaline mine drainage drives stream sediment microbial community structure and function
📚 Books worth reading
- 📕Numerical solution of transonic stream function equationMohamed M. Hafez · 1981
- 📕Response of phytoplankton to acidification in experimental streamsT. W. Weber · 1981
- 📕Finite element stream function solutions for transonic turbomachinery flowsW. G. Habashi · 1982
- 📕Development of a defect stream function, law of the wall/wake method for compressible turbulent boundary layersRichard A. Wahls · 1990
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Beltrami flow In fluid dynamics, Beltrami flows are flows in which the vorticity vector ω {\displaystyle {\boldsymbol {\omega }}} and the velocity vector v {\displaystyle…
- Laplacian vector field In vector calculus, a Laplacian vector field is a vector field which is both irrotational and incompressible. If the field is denoted as v, then it is…
- Oseen equations In fluid dynamics, the Oseen equations (or Oseen flow) describe the flow of a viscous and incompressible fluid at small Reynolds numbers, as formulated…
- Incompressible flow In fluid mechanics, or more generally continuum mechanics, incompressible flow is a flow in which the material density does not vary over time. Equivalently…
- Grad–Shafranov equation The Grad–Shafranov equation (Vitalii Dmitrievich Shafranov (1957); H. Grad and H. Rubin (1958)) is the equilibrium equation in ideal magnetohydrodynamics…
- Stokes stream function In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry…
- Matrix representation of Maxwell's equations In electromagnetism, a branch of fundamental physics, the matrix representations of the Maxwell's equations are a formulation of Maxwell's equations using…
- Infinitesimal strain theory In continuum mechanics, the infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the displaceme…