a) The velocity component of fluid flow is given by u = xy² v = -4x²y w = 0 By using Navier-Stokes equation, determine the pressure gradient in the y-direction, at point (2, 2). Assuming incompressible, steady flow and the gravity is in y- direction only. The fluid is water with a density of 1000 kg/m³ and the dynamic viscosity is 0.0009 Ns/m² respectively.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question 1 (Momentum equation)
a) The velocity component of fluid flow is given by
u = xy²
v = -4x²y
w = 0
By using Navier-Stokes equation, determine the pressure gradient in the y-direction,
dp
at point (2, 2). Assuming incompressible, steady flow and the gravity is in y-
dy
direction only. The fluid is water with a density of 1000 kg/m³ and the dynamic
viscosity is 0.0009 Ns/m² respectively.
Transcribed Image Text:Question 1 (Momentum equation) a) The velocity component of fluid flow is given by u = xy² v = -4x²y w = 0 By using Navier-Stokes equation, determine the pressure gradient in the y-direction, dp at point (2, 2). Assuming incompressible, steady flow and the gravity is in y- dy direction only. The fluid is water with a density of 1000 kg/m³ and the dynamic viscosity is 0.0009 Ns/m² respectively.
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