Acceleration field, velocity field, pressure field

[mech-eng]

I am not familiar with concepts of accelaration field, velocity field, pressure field. I have come up with them in the topic of fluid mechnanics called fluild kinematics. My mathematical background is poor. I would like to learn some information about this concepts. Surely they are mathematical concepts. What part of mathematics do they belong to? I think it is Vector Calculus. I will refresh my mathematical background as soon as possible as well.

Thank you.

 

[DrClaude]

It's physics, not mathematics. First, you have to understand the concept of "field," see for instance https://en.wikipedia.org/wiki/Field_(physics)

 

[mech-eng]

It's physics, not mathematics. First, you have to understand the concept of "field," see for instance https://en.wikipedia.org/wiki/Field_(physics)

Do you know textbooks explaining this topic in most simple way ? What background does this topic require?

Thank you.

 

[DrClaude]

Munson et al., https://www.amazon.com/dp/1118116135/?tag=pfamazon01-20
https://www.amazon.com/dp/1118912659/?tag=pfamazon01-20

 

[mech-eng]

Munson et al., https://www.amazon.com/dp/1118116135/?tag=pfamazon01-20
https://www.amazon.com/dp/1118912659/?tag=pfamazon01-20

Yes, fluid mechanics texts I think do not cover but mentions this topic with some applications but they are not very instructive. I remember in Stewart Calculus there was an example probably under topic vector analysis but I do not remember chapter or sequence name. It was an example of a wheel as a velocity fields. The velocity vectors were growing when they were going away from the center.

Thank you.

 

[boneh3ad]

I am honestly having a hard time grasping what you are struggling with here. The concept of a field, be it pressure, velocity, acceleration, or anything else, does not require advanced calculus. It is simply some region in space where that quantity is defined (and usually varies) at a variety of points in space. Now, operating on that field is more of a vector calculus topic, but any fluid mechanics text worth its salt will talk about the material derivative, which is the primary tool you need.