Hydrodynamic Definition and 48 Threads

I'm trying to determine the value of N for which this energy is minimized for the droplets. I found that the energy for N droplets is $$E_g = T N 4 \pi (\frac{3 A L }{4 \pi N})^{2/3}$$. At first I thought of deriving the energy by the number N and set it to zero. However, it does not work since...

Consider a sphere of thermal diffusivity ##\kappa_2## is submerged in an incompressible and stationary fluid of thermal diffusivity ##\kappa_1##. The fluid is held between 2 large plates ( at T_0 for the top plate and T_1 for the bottom plate). What is the stationary temperature distribution...

I asked this question about one year ago, but at that time I didn't really understand what I was doing. After spending a lot of time in this problem, I still fail to get the asked answer. Starting with ##\frac{De}{Dt} + (\gamma - 1)e \nabla \cdot \vec{u} = - \frac{1}{\rho} (\vec{u} \cdot...

I’ve been confused about the term static pressure for quite some time. Different sources use very different definitions. From the problems perspective, it’s usually some external pressure. For example we are having a pool with tiny hole on the bottom which makes water level decrease and it flows...

Hi! I have a loss head question. There is a difficulty in understanding the hydrodynamic loss head concept. Assuming that there is a one-sided tube with incompressibility, visibility, tube friction coefficient and cross-sectional area A.. There is friction in the loss head formula, but is the...

Hey there, First of all, all energy conservation equations for a fluid I found on google hadn't the ##\gamma## coefficient. What exactly is the difference? Secondly, by substituting e by ##e = \frac{1}{\gamma -1} \frac{p}{\rho}## in the following equation ##\frac{De}{Dt} + (\gamma - 1)e \nabla...

Folks, I'm trying to formulate the stability problem in the incompressible inviscid limit and find the dispersion relation in the Couette flow regime. As shown, the 2 infinite plates move one against the other, unlike the "standard" case where one plate is static and the second moves. I'm trying...

I have attempted to use the law of conservation of momentum. The Areas are the lengths marked with the red striped line times the length into the paper, and the Forces F1 and F_hydro are the hydrostatic pressure and hydrodynamic forces respectively (acting on the plate) (The x y components is...

TL;DR Summary: Advanced hydrodynamic calculation- University Level Calculate the necessary force of the hydraulic piston to empty the tank located at the bottom in the indicated time. Hi all guys I'm new on this forum, and I write this post to ask you for help on a mechanical engineering...

I was wondering this question for quite some time because this view seems to work surprisingly well and also coincides with how the state space must be setup in any attempt model QM within classical probability theory. So starting with the hydrodynamic formulation from...

Can you, please, help me with this exercise? I know the formulas for the required parameters, but I know neither how to use them here nor in what way to solve the exercise. Plus I don't understand what for I was given the temperature Thank you for your help and advice

So back in the other thread I asked about compatibility of classical probability theory (PT) and QM – and it turns out there is no inherent reason why they need to be incompatible. Therefore I was looking for something that makes them compatible, which wasn’t easy to search for. But there seems...

Hello, i have a problem that look's easy to solve but really is not. It involves a rotating paddle wheel submerged in water and i want to know the force exerted on the wheels and the torque required to rotate it. I have made a simple drawing to illustrate the problem below. I want to use the...

I know that I have to calculate force that is generated by water. However, I do it wrong way. ## A = \pi r^2 ## ## v = \frac Q A = \frac Q {\pi r^2}## ## F = P t = mvt = ...? ## - have problem with mass. and is it even correct way? if I can calculate F - its easy afterwards... ##\tau = F l ##...

My approach was that I consider the pressure of cross section A first Pa= P + dgh Now by writting Bernoulli's Equation between the cross-section A and the opening : $$ Pa + 2dgh + 2dV^2/2 = Pb + 2dV'^2/2$$ Where Pb is the pressure of the opening which is equal to the atmospheric pressure...

I am looking for a book which covers hydrodynamic bearings which must support both axial and radial loads. Despite having 10 ft of books on machine design, not one treats anything other than pure axial and pure radial bearing designs. Application is a lathe spindle, so this has been studied to...

Consider a fixed horizontal tube of uniform cross section with pressure being 1atm at one of it's end and 5atm at the other (former due to 'open to atmosphere' and latter due to force on a piston), then liquid would flow towards low pressure end. By equation of continuity all cross sections will...

Two pontoon boat design approach and how to find center of gravity, center of buoyancy, buoyancy, volume of displacement, meta center, meta centric height. I need to know is there a different approach to designing dual hulled boat than a single hulled boat and all the formulas and examples I...

For a relativistic fluid, the equation of state is given by: $$\rho = \rho_0 + 3p/c^2 $$ The above expression is nicely derived in Weinberg (1972). Although I was told that for a compressible fluid that is relativistically hot (i.e. ##p \gg \rho_0 c^2)## under a constant acceleration, ##g##...

Hi! I know little about physics, but I am very well educated , with an inquisitive mind. First the context, then my specific question A. Context The practice of windsurfing has brought me to try and understand the principles of hydrodynamics, in order to make my sailing more efficient. As...

In NP problems we can cheaply (polynomial time) test if a given input is satisfying, but the difficulty is that there is an exponential number of possible inputs - the question is if e.g. there is a satisfying input. Imagine there is a simple hardware implementation of verifier (e.g. in form of...

Kia ora I'm a fist year engineering student in Christchurch NZ, and a few friend and I, are designing a simple engineering report for a water projection system for an organization called gap filler. Were currently thinking of projecting an image of music onto the river Avon so people can read...

Here is a fun effect. I wonder if it has been described previously, given how simple it is to reproduce. I remember seeing similar effects with an empty plastic bag, spinning midair on the side of an air updraft.

Homework Statement A horizontal stream of air is blown just above the open end of the hares apparatus with an initial speed "V". The density of air is 1.2 kgm-3.Then the water column rises to 6 cm in the respective limb.Density of water is 103 kgm-3 Using Bernoulli`s principle find "V"...

Homework Statement See the photo of the problem in the attachment Homework Equations Bernoulli equation and continuity equation The Attempt at a Solution I don't know from where to begin , i only can get the velocity of fluid when it reaches the hole

Hello :) I am an engineer and I am trying to analyse a system which basically contains a cylindrical body free-falling through a body of static water beginning with zero velocity. I am ultimately trying to find what the velocity of the object would be at a depth of 20m. In order to do this I...

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...

Hello Guys, Could someone explain to me the meaning of greater thermal boundary layer over hydrodynamic boundary layer over a flat plate surface? I know how to calculate both streams, but I don't understand the meaning of smaller thermal boundary vs. hydrodynamic boundary and vice-versa. What...

I need to know approximately what percentage of a vehicle with an airtight passenger compartment must be filled with water before it sinks to the bottom. The fact that it is airtight may normally prevent it from sinking, but if a window was cracked from impact, and water slowly trickled in...

I might be going crazy or searching at the wrong places. Is there an empirical formula for solving the hydrodynamic entry length of laminar flow through a circular annulus? Thanks!

what's the relation of the viscous hydrodynamic forces and swirl？

Are the viscous hydrodynamic forces and the nonlinear viscous hydrodynamic forces applied on offshore platform in the ocean？ The platform is fixed.

The viscous hydrodynamic forces will increase with increase of the velocity of ship？ Can the viscous hydrodynamic forces be neglected if the velocity of ship is small　？

So I know individually how these form. Unfortunately I haven't found any sources that describe more detailed questions that pop up in my mind. Could someone help me answer a couple of questions? 1. So if a thermal boundary layer forms in a 'plug flow' model i.e. when there is no momentum...

Hi all, This is my first post. I was wondering what the effects of hydrodynamics are on water in regards to when you suck water out of a pipe leading to a barrel of water for example. When you then stop sucking the water from the pipe the water leaving the pipe then continues to pull water...

I'm not a student of physics but do have puzzle I am trying to solve. Is there a way to calculate the force of a water droplet impacting a vertical surface stated in psi at various speeds of impact? A more practical way to state the problem would be; what psi will rain impact the chest of a...

Hi, I'm doing 'Heat and Mass transfer' at college and we're covering the topic on the hydrodynamic and thermal boundary layers. I have a couple of questions, the answers to which are not given explicitly in any of my textbooks. 1. During open flow, why does laminar flow eventually have...

Hi there, does any of you know a place where I can find the derivation of the hydrodynamic equations (navier stokes, etc) starting from interacting particles? I need this done in a pedantic way as I have to deal with the case in which the free streaming length is of the same order of the...

Homework Statement The flow of a single sphere translating at speed U in a fluid at rest far away from the sphere is given by the streamfunction, ψ(r,Θ) = (1/4)Ua2(3r/a - a/r)sin2Θ a=radius of sphere the origin is at the centre of the sphere and the axis Θ = 0 is...

Hi all, I have learned that the hydrodynamic entrance length of a channel (to form fully developed laminar flow) is correlated to the Reynolds number, because the shear effects have to propagate inwards from the walls of the channel. However recently I found out that there is a 'minimum' to the...

If we consider a system of N suspended particles diffusing through a narrow channel. What happened if the hydrodynamic interactions are neglected? Is there only flow? How can the particles diffusse without flow?

A sphere heads east from Los Angeles... ("centre of hydrodynamic 'mass'" problem) Homework Statement This is actually from research, but it's one of those "this should be an easy problem and I'm wasting too much time making it too difficult" problems, so I thought it fit better under...

Hello all, I'm trying to induce hydrodynamic cavitation in a water filled vessel at STP using a high pressure piston pump and an orifice plate. Does anyone have any knowledge of estimation methods for the relationship between pressure drop, orifice area and cavitation intensity? Clearly the...

Does anyone know how to calculate the entry region length of laminar incompressible flow in a pipe? There are several formulae available which give a ratio of the (entry length)/(pipe diameter)/(Reynolds number) = 0.02-0.06. I'm not looking for the final solution, but rather the approach...

Homework Statement A steel sphere in a tank of oil is given an initial velocity v = 2i (m/s) at the origin of the coordinate system shown (if you don't trust the attached image it is essenital). The radius of the sphere is 15 mm. The density of the steel is 8000 kg/m3 and the density of the...

Given a comparatively tall cylinder full of water, is it possible to punch in its side three similar holes so that their streams all intersect at one point?

Is there a way to relate the viscosity of a liquid to the fatigue wear of a bearing. The bearings are lubricated with the flow of liquid through the metering devise. The flow of liquid creates a perpendicular force on a shaft with carbon bearings on each end. Is there a formula that I can use...

I watched a "Black Aircraft" show on the science channel. In the show they mentioned a researcher working on old Russian technology that placed a strong beam in front of the aircraft to strip electrons from the air molecules so the plasma creates its own initial shockwave to lessen drag on...