Q5) A) Determine which of the following pairs of velocity componets u and v satisfy the continuity equation for a two-dimensional flow of an incompressible fluid. (a) u = (3x – y) ; v = (2x +3y) (b) u = (x + y) ; v = (x² – y) (c) u = A sin xy ; v = – A sin xy (d) u = 2x² + 3y² ; v = –3xy.
Q5) A) Determine which of the following pairs of velocity componets u and v satisfy the continuity equation for a two-dimensional flow of an incompressible fluid. (a) u = (3x – y) ; v = (2x +3y) (b) u = (x + y) ; v = (x² – y) (c) u = A sin xy ; v = – A sin xy (d) u = 2x² + 3y² ; v = –3xy.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Q5) A) Determine which of the following pairs of velocity componets u and v
satisfy the continuity equation for a two-dimensional flow of an incompressible fluid.
(а) и %3D (Зх— у) ; ъ %3 (2х +3у)
(b) и %3D (х + у); v%3 (2? - у)
(c) u = A sin xy ; v = – A sin xy (d) u = 2x² + 3y² ; v = –3xy.
B)
Calculate the unknown velocity components so that they satisfy continuity equation:
(a) u = 2x² ; v = xyz ; w = ?
(b) u = (2x² + 2xy) ; w = (z³ – 4xz – 2yz) ; v = ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c278deb-a4dd-46b5-b54d-82b08c5cf148%2F99dc5e7b-387e-4e77-b9a7-31d21a3df7d8%2Fevg2js_processed.png&w=3840&q=75)
Transcribed Image Text:Q5) A) Determine which of the following pairs of velocity componets u and v
satisfy the continuity equation for a two-dimensional flow of an incompressible fluid.
(а) и %3D (Зх— у) ; ъ %3 (2х +3у)
(b) и %3D (х + у); v%3 (2? - у)
(c) u = A sin xy ; v = – A sin xy (d) u = 2x² + 3y² ; v = –3xy.
B)
Calculate the unknown velocity components so that they satisfy continuity equation:
(a) u = 2x² ; v = xyz ; w = ?
(b) u = (2x² + 2xy) ; w = (z³ – 4xz – 2yz) ; v = ?
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