y= 43 7h = th Streamlines
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69946918-874f-4786-8cc6-6948110491cb%2F539518a2-ed8d-4435-ba0f-3784e662d0c5%2Ft7h8vud.jpeg&w=3840&q=75)
Transcribed Image Text:y= 43
7h = th
Streamlines
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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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