Question

Curl and Divergence: If the the vector field F is velocity what is the physical interpretations of curl F and div F?

Answer 1

oh comeon...thats in the next few chapters lol

Answer 2

div F refers to the amt of material coming in or out of a certain surface which is chosen

Answer 3

so the Flux?

Answer 4

its the volume integral of the div

Answer 5

Wait div of F is the amount going in or out so that is Flux right?

Answer 6

no flux is actually the volume integral of the div...physically u can see that divergence refers to how much of a sink or source of the field is present at that point

Answer 7

In this case the vector field is velocity so what does it mean the amount of velocity going in or out?

Answer 8

div is actually a representative indicator of how much is coming out or going in, and its volume integral is the amount that goes in or comes out

Answer 9

like this is generally studied as the velocity of a fluid, so the divergence refers to how much fluid is coming out or going out of that point

Answer 10

Since the curl is another vector what does it represent?

Answer 11

the curl is the tendency of the fluid to rotate about an axis

Answer 12

Nevermind

Answer 13

SO there can only one curl say of a tornado right? its the center point and it point down...

Answer 14

yeah..sort of..bt thats mechanical rotation as well

Answer 15

KK thank you.

Answer 16

hey romero divergence is the volume integral of flux..see flux shows how much is coming out of a particular surface..bt when u do a volume integral, it gives u d actual amt...sorry..