WebThe stream function for a two-dimensional, inviscid, incompressible flow field is given by the expression ψ = −2 (x − y ) where the stream function has the units of ft 2 /s with x and y in feet. (a) Is the continuity equation … http://web.mit.edu/16.unified/www/FALL/fluids/Lectures/f12.pdf

Stream Function - an overview ScienceDirect Topics

WebStream Function Definition Consider defining the components of the 2-D mass flux vector ρV~ as the partial derivatives of a scalar stream function, denoted by ψ¯(x,y): ρu … http://www-mdp.eng.cam.ac.uk/web/library/enginfo/aerothermal_dvd_only/aero/fprops/poten/node10.html green creative les9040

Stokes stream function - Wikipedia

In fluid dynamics, the Stokes stream function is used to describe the streamlines and flow velocity in a three-dimensional incompressible flow with axisymmetry. A surface with a constant value of the Stokes stream function encloses a streamtube, everywhere tangential to the flow velocity vectors. Further, the … See more Consider a cylindrical coordinate system ( ρ , φ , z ), with the z–axis the line around which the incompressible flow is axisymmetrical, φ the azimuthal angle and ρ the distance to the z–axis. Then the flow velocity … See more As explained in the general stream function article, definitions using an opposite sign convention – for the relationship between the Stokes stream function and flow velocity – are also in use. See more From calculus it is known that the gradient vector $${\displaystyle \nabla \Psi }$$ is normal to the curve $${\displaystyle \Psi =C}$$ (see … See more In spherical coordinates ( r , θ , φ ), r is the radial distance from the origin, θ is the zenith angle and φ is the azimuthal angle. In axisymmetric flow, with θ = 0 the rotational symmetry … See more In cylindrical coordinates, the divergence of the velocity field u becomes: as expected for an incompressible flow. And in spherical coordinates: See more http://www-mdp.eng.cam.ac.uk/web/library/enginfo/aerothermal_dvd_only/aero/fprops/poten/node4.html Webstream functions for several simple two-dimensional flow types (the uniform flow , source , doublet and vortex ), and suitable combinations of these are used to model more … floyd county ga police report