6. Let v=[2x, 2y,-4z] be the velocity vector of a steady fluid flow. (a) Is the flow irrotational or incompressible? Show the details. (b) Find the potential function of this field. (c) Find the directional derivative of this potential function at a point P(1,2,1) along the 2i+j+2k direction.
6. Let v=[2x, 2y,-4z] be the velocity vector of a steady fluid flow. (a) Is the flow irrotational or incompressible? Show the details. (b) Find the potential function of this field. (c) Find the directional derivative of this potential function at a point P(1,2,1) along the 2i+j+2k direction.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
Problem 21P
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![6. Let v=[2x, 2y,-4z] be the velocity vector of a steady fluid flow.
(a) Is the flow irrotational or incompressible? Show the details.
(b) Find the potential function of this field.
(c) Find the directional derivative of this potential function at a point P(1,2,1) along the
2i+j+2k direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe95c0ed5-6562-4de3-90f0-5232d13c65eb%2Fae2aceae-3187-4447-9598-286d95edfd43%2Fqe33od0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Let v=[2x, 2y,-4z] be the velocity vector of a steady fluid flow.
(a) Is the flow irrotational or incompressible? Show the details.
(b) Find the potential function of this field.
(c) Find the directional derivative of this potential function at a point P(1,2,1) along the
2i+j+2k direction.
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