y= 43 7h = th Streamlines

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider steady, two-dimensional, incompressible flow in the xz-plane rather than in the xy-plane. Curves of constant stream function are shown in Fig. The nonzero velocity components are (u, w). Define a stream function such that flow is from right to left in the xz-plane when ? increases in the z-direction.

y= 43
7h = th
Streamlines
Transcribed Image Text:y= 43 7h = th Streamlines
Expert Solution
Step 1

Stream function:

It is the scalar function of space and time. It derives partly from any direction that gives the velocity element perpendicular to that direction. It is used only for 2-dimensional flow. It is denoted by ψ.

If ψ is present, then flow may be rotational or irrotational. If the Laplace equation satisfied by ψ, then the flow is considered irrotational.

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