Recent content by GilSE

Thank you very much, with that additional term the result looks correct at last! I will be searching why I haven't obtained it when was calculating gradient.

Unfortunately, must be a typo. In my handwritten notes there is no dot above beta in this term. But still thank you for your answer!

At first, I derived that: $$\nabla \frac 1{\mu}=-\frac 1{{\mu}^3}\left((1-\beta^2)+\frac{\dot{\vec\beta}\cdot\vec R}c\right)\vec R$$ (dot means differentiation with respect to ##t'##). I assume this result is true because it gives valid result for magnetic field. To find electric field one...

Actually, I did an attempt to solve the equation assuming ##v_y## is constant at ##y=0## and at the hole. The picture was like this: Configuration of the streamlines at the hole looks like they really will form the picture from the Wikipedia page if would be extrapolated, but I don't think...

What I've (I hope) understood about "vena contracta" is that there is a level slightly below the hole where ##v_x## component is equal to 0. Maybe it can be helpful for my problem, but I didn't figure out how exactly, for now.

Of course! The bath is infinite in the direction normal to the Oxy plane, and the hole is an infinitely elongated rectangle. I think now it fits to my coordinates perfectly. (I am not in the mood to mess with solving an equation in cylindrical coordinates, let it be simple Cartesian)

The situation is like this: we have a bath of a square cross-section. The cross-section is modeled by an area ##\{x, y: 0\leq x\leq 1, 0\leq y\leq 1\}## in 2d Cartesian coordinates (the gravity fied direction is opposite to the y-axis). There is a hole in the floor of the bath, it starts at...

Oh, I did some calculations assuming the atmosphere adiabatic. My idea was that the total number of particles in the air collumn is constant, so I could find pressure at zero height. What I've got is that zero level pressue doesn't changed when the temperature change. Hence, I thought that two...

If the surface is heated, air above it will also heat, its temperature will rise. It will cause two processes: while temperature of gas rise, its pressure will also increase, but, also, as the air molecules get more energy, they will go higher from the earh surface, concentartion of the...

Thank you! So, saturated vapor pressure is different when another gas is mixed with it. Though, the formula I got isn't the same as in Wikipedia (at least, the Wikipedia formula includes v_w factor which was omitted in my derivation). Should I resolve the equation without omitting it? But it...

It’s usually being assumed that points of equilibrium liquid – its vapor is given by a curve in the (P,T) coordinates, and this curve doesn’t change no matter is there another gas in the system or not. For example: if water is put in the empty volume, it will obviously vaporize, filling the...