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.

Structural Analysis
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Chapter2: Loads On Structures
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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 = ?
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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