In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.
Fluid dynamics offers a systematic structure—which underlies these practical disciplines—that embraces empirical and semi-empirical laws derived from flow measurement and used to solve practical problems. The solution to a fluid dynamics problem typically involves the calculation of various properties of the fluid, such as flow velocity, pressure, density, and temperature, as functions of space and time.
Before the twentieth century, hydrodynamics was synonymous with fluid dynamics. This is still reflected in names of some fluid dynamics topics, like magnetohydrodynamics and hydrodynamic stability, both of which can also be applied to gases.
For context, I'm developing a submarine simulator with a heavy focus on realism, especially on the physics side of things. I've already implemented a fairly accurate linear drag model for forward/backward and rise/dive movements, but I'm not sure where to start with calculating the rotational...
Hello
I need your help studying hydrodynamics.
I have a question about the volume of air.
Assuming incompressibility, non-viscosity, there is a coefficient of tube friction, and it moves in laminar flow...
The Oulet stage Fan is installed, so air moves from top to bottom. The cross-sectional...
I'm not sure if you would call it a "Parallel Impeller," but the pics below should tell the story. I'm designing/3D printing my next RC boat from scratch, and I wanted to try something different from tried-and-true propeller and shaft system. Reasons?
1. Fun.
2. Using a "wet" brushless motor...
We can derive it by using Bernoulli's equation ##p_0+h_0\rho g+\frac12 \rho {v_0}^2=p_1+h_1\rho g+\frac12 \rho {v_1}^2##, where ##v_0=0## is a velocity of a water surface and ##h_0## is its height. ##h_1## is a height of the outlet above the bottom of a tank the water is in. I am confused about...
It is usual, in plasma physics, to combine the kinetic description for electron fluid and the hydrodynamic description for ion fluid, when studying the plasma properties or the dynamics of the electrostatic waves.
I am wondering what are the physical meaning and limits of such an approach.
Thanks.
Hello. Could anyone help me with some insight in an extra term appearing in the motion equations of a relativistic fluid? I say extra term, because it's not present on the motion for a test particle, as it follows:
Let's propose Minkowski space-time, the motion equations for a fluid with zero...
Summary:: I remember seeing somewhere that people said Lamb's Hydrodynamics is so dry that the reader cannot see any water but drawn in a desert. But where did it come from ?
I remember seeing somewhere that people said Lamb's Hydrodynamics is so dry that the reader cannot see any water but...
Hello guys!
I am studying the hydrodynamics of a ship in shallow water. In deep water the ship creates 2 wave patterns, one transverse and another divergent, both making an angle of 19°28'. Also, the maximum velocity of a wave in shallow water is given by ##\sqrt{gh}## where h is the depth of...
This is a fluid dynamic simulation.
The top area has 100 degrees Celsius.
The bottom area has 0 degrees Celsius.
And both are filled with an ideal gas which is 1-atmosphere pressure.
Two areas are connected through the left small line. Another part is blocked.
So heat transfer can only happen...
So the Bernoulli's Equation..
My question : Are the terms on the left hand side equal to the total mechanical energy? So can I rewrite this equation as ?
Hi everyone,
I'm interested in relativistic anisotropic hydrodynamics and often a "gradient Expansion" is mentioned in articles, but not how this works exactly. I gathered that this is some kind of expansion of the energy-momentum tensor. Can someone explain to me how this expansion is set up...
I'm reading up a series of papers on hydrodynamical simulations for galaxies and cosmology. They keep mentioning things like "Lagrangian" or "pseudo-lagrangian" or "Eulerian". I tried looking it up on the internet, but the answers are either too broad and could mean a huge number of things in...
Probably a silly question, but I'm curious because I want to draw some hard sci-fi based on it: if I shoot a nuke "ballistically" (viz., think of firing a cannon at a mountainside), upon detonation, what would be the smoke's/plasma's (?) profile? I guess it wouldn't be the famous mushroom...
Hi,
(This is more of a math question but I thought Astronomy people would be more familiar with the equation and how it's used)
So in Monaghan 1992 (http://adsabs.harvard.edu/abs/1992ARA&A..30..543M, bottom of pg 554) a cubic spline in three dimensions is defined. I tried to integrate it (using...
Hi everyone,
I plan to do a simulation of a Boltzmann equation with experimentally known scattering between two particles. Initially I intend to incorporate the scattering into the collision integral and use Lattice Boltzmann Equation (LBE) afterwards. But I only see LGBK (DnQb) which requires...
1. The problem statement, all variables and given/known d
At what speed, the velocity head of water is equal to pressure head of 40 cm of Hg?
(1) 10.32 m/s
(2) 2.8 m/s
(3) 5.6 m/s
Homework Equations
v^2/2g = p/rho*g (velocity head= pressure head).
The Attempt at a Solution
since pressure head...
I just started my master's degree in physics and one of the courses I've chosen is hydrodynamics. Since i have never done anything similar to this in my undergrad, i feel a bit lost and i would like to start with some sort of an introduction to the subject or fluid mechanics in general and work...
Hi! I have this code which should simulate a sod shock tube like this: https://en.wikipedia.org/wiki/Sod_shock_tube But when i plot density versus distance I just get something like a noisy signal. Any idea where I am doing something wrong?
from matplotlib import pyplot as plt
import numpy as...
Hi all,
I am designing an artificial rain system and was thinking about using http://www.dannermfg.com/Store/Products/Danner/PID-02720.aspx to power it. The goal of the system is to deliver roughly 1 gallon of water per hour to each of the 8 exit points (I will measure this by using a bucket...
Hi. I assume at this point I'm
supposed to introduce myself
and pertinent interests.
If so, then I'll be brief.
I live on the Northwest coast of the Baja Peninsula in Mexico.
My place faces the ocean.
Every day good size waves pummel the beach. The exception is during our extreme low...
Homework Statement
please check attachment
Homework Equations
please check attachment
The Attempt at a Solution
since the deviation from f_0 to f is linear
then we can write f=f_0 + C where C is some constant
this should be enough to prove the first question (i think so)
for the second...
Hi everybody,
first of all, sorry for any grammatical mistakes, I am a non-native English speaker.
So here is my concern,
the dimensionless (hydrodynamic) entrance length is defined as:
z+=zh/(Re*Dh)
,where zh is the hydrodynamic entrance length, Re is the Reynolds number, and dh is the...
I wish to replicate the simulations and values obtained in the following paper but I do not know where to start my coding from.
http://lasp.colorado.edu/~espoclass/ASTR_5835_2013_Files/2013_10_29_Canup.Moon.Icarus.2004.pdf
How must I start the code? I am aware that I need to integrate the...
Homework Statement
The pressure difference between the main pipeline and the throat of a venturri meter is 10.5 Pascals (Pa). The areas of the pipe and the constriction are 0.1 m^2 and 0.05 m^2 respectively. How many cubic meters per second are flowing in the pipe? The liquid in the pipe is...
1. A circular hole 2 cm in diameter is cut in the side of a large stand pipe 10 m below the water level in the standpipe. Find:
a. the velocity of the efflux
b. the volume discharged per unit time[/b]
2. P + 1/2 pv^2 + pgh
Q = A1 V1 = A2 V2
where =
a = area
v =...
Hello,
I need data (articles and books) about what connection there is between the speed (or the power) of a turbulent flow and the range of vibration frequencies that it can create on the body submerged in the flow.
Thanks in advance.
Hi all,
I want to use SPH discretization for my cooling rate but i don't know if its valid.
So, this is the equation i want to discretize.
L = (1/dT/dt) . ∫v(T) dT
So,
dT/dt = (1/L) . ∫v(T) dT
dT/dt = (1/L). Ʃv(T) dT (with dT →0)
The limits of the above integral are...
Homework Statement
A beaker contains a liquid of density ρ up to a height h (from the bottom), their is another layer of liquid of density 2ρ above it.(this is arrangement initially) also up to a height h. A hole is made in the upper part as well as in lower part such that the separation...
(Hello everyone!)
Homework Statement
Water is gathered in a column of height h, above above a distributing pipe.
The pipe then narrows from cross sectional area S1 to S2(S1>S2), after which, the fluid exits(as shown in the attached figure)
Find the total horizontal force(in the direction of the...
Homework Statement
A tube of uniform cross-section A is bent to form a circular arc of radius R, forming three quarters of a circle. A liquid of density \rho is forced through the tube with a linear speed v. Find the net force exerted by the liquid on the tube.
2. The attempt at a solution...
Hi, I've started to write a simulator for SPH, and I'm fallowing a paper on SPH simulation,
The problem is that in that paper they show the formulas for computing force but they don't tell you on what vector do you need to apply this force.
So here are the formulas for pressure, viscosity...
I need to simulate the flow of a river, to do small scale hydrodynamics testing on a partially submerged water wheel / paddle wheel design. The typical water tunnel setup will not work, because we are interested in the flow near the surface. The water wheel is half in the water, and half out...
If you had to prove that your method for cleaning chromatography columns works and you had different sizes and shapes of columns, which one would you pick as a worst case to focus on? You have tall, skinny columns and short, fat columns, as well as different sizes. These are cylindrical glass...
I have made decent progress with my ballistics model, but I have run into trouble and I'm not quite sure how to solve it. This particular problem deals with penetration and tensile cavitation. Based on the Held equation for cavitation in jet penetration (still haven't found any sites discussing...
Ok here's a basic idea that I read somewhere else. See the attached image.
Basically, its a pipe with inflatable "tires" surrounding it, that will be inserted into the well, and then the "tires" pumped full of hydrolic fluid. Hopefully capping the well, while still being able to retrieve oil...
"What pressure do you need to get water to flow at 2 m/sec coming out of a hole?"
Here is the visual of a container sitting on top of a glass of water with a hole poked through the bottom: http://i96.photobucket.com/albums/l168/synovial/fluids.jpg
Given: A1, A2, V2, (y1-y2)
Find: patm...
Hydrodynamics--- rotational movement.
Hi,I am not sure whether my solution is correct. I am not an expert in this area either. Could anyone here help me to check my solution? Thank you
If i hang a block like a cube in water. If we look from the top view, there will be two side A and two side...
Diver at a depth of 20 m below the water breaths 1 liter of air. With what acceleration the air bubble begins to move against the surface ,how his speed varies with time and what is its volume at a depth of 5 m? The water temperature is 20° C. Part of a solution will be need to find numerically...
[9] arXiv:0809.2330 [pdf, other]
Title: Hydrodynamics of structure formation in the early Universe
Authors: C. H. Gibson (UCSD), T. M. Nieuwenhuizen (University of Amsterdam), R. E Schild (Harvard)
Comments: 6 pages 4 figures. Additional information at this http URL
Subjects...
If I have some water in a thin (on the order of micrometer or nanometer even) cylinder, a
meniscus will form due to hydrodynamics and surface tension effects. There will be some characteristic height of the meniscus above the surface of the "bulk" water. Let's call this height "h". If I make...