Recent content by Summer2442

Ok I get it now, thanks guys.

yes what i meant is "along the positive x-direction" but about the flux into the volume, i agree that it should be 'ρvxdydz' but i am pretty sure this is what the book says 'ρvx|x=0 = dy dz', i think its a mistake. I have another question please, it then says that the flux out of the opposing...

Hello, I am new to calculus, and am having problems with divergence, I was reading something to explain the physical interpretation of divergence and i got stuck in the very first part. it says that if we have a small volume dxdydz at the origin, and that a fluid flowing into this volume...

No I can visualise, perfect, thanks a lot that really clarified things. thanks everyone.

I am sorry i am a beginner in calculus, so there is a lot that i lack, yes i guess that's the point of my confusion, because I recall that the gradient is tangent to the function, but i guess this only applies for a function dependent on only one variable. but when the function is of several...

let me be more specific :) i hope you can see my attachment, i do not understand the relation between a function f(x, y, z) being equal to a constant, and the gradient of that function being perpendicular to a single increment dr? is there are relation, does f(x, y, z) = constant imply...

yes what i mean is f(x, y, z) = constant, well for f(x,y,z) the gradient is 1xˆ+1yˆ+zˆ (right?), however for g(x, y, z) it is still a function 2xxˆ+2yyˆ+2zzˆ (right?), does that mean it does not matter, that f(x,y,z) = constant has no effect on the gradient but only the function itself...

Hello, I wanted to ask what it meant if a surface's equation is equal to a constant. and what does that say about the gradient(surface). Thanks.