Fluid flow Definition and 216 Threads

I would like to obtain the conformal map from a uniform rectilinear fluid flowing in the x-direction, where the field is bounded below by the x-axis, to the flow in the w-plane. In the w-plane the flow is correspondingly bounded from below by a trochoid. (A trochoid is a continuous waveform...

Hello,I am trying to calculate the velocity in a pipe with length L and Dia D, which is connected to bottom of a pressurized vessel (Vessel dimensions are known, Level of liquid inside the vessel is known). Now i need to figure out the velocity as a function of pressure inside the vessel.We can...

Referring to the problem in the attachment, the author mentions that if we consider the coordinate system attached to the bicycle and the bicycle accelerates or decelerates, the flow past the bicycle becomes unsteady. For an unsteady flow, we know that nothing changes at a given location on a...

Homework Statement Water is flowing along a pipe. Points B and C in the pipe are at the same height but point A is at a higher elevation.The pipe has the same cross-sectional area at points A and B but is wider at point C. Rank in order from largest to smallest, the pressures at the three...

Hey! :o The velocity field $u=ax^2, v=bxy$ ($a, b=\text{ constant }$) represents a flow field of an incompressible fluid. Construct the streamlines and find the cutoff points of the flow ($\overrightarrow{u}=(u,v)=0$). From the fact the fluid is incompressible we have that $$div u=0...

So, there's a project I'm working on (no, it's not school related), where I'm trying to figure out how to measure thermal conductivity of a material using laminar flow. The idea is to integrate this into a larger system, and it's a measurement I'd like to take in the process. I know the...

I want to know if the velocity profile is uniform for viscous fluids or not ?

I am designing a system for an engineering project at school. It's essentially a clock to be powered by water turning a mechanical system of gears (not generating electricity). Imagine a rectangular basin full of water placed at some height above the ground. There is a hole in the bottom...

I am running a simulation on a flat plate heat exchanger and the solver is coming up with some error messages. The first says that a vortex crosses the pressure opening and the second says that my heat transfer rate goals are invalid. How can I get the heat transfer goals to be valid as I need...

Homework Statement In a horizontal rectangular open channel 20 m wide the water depth is 9 m. When a smooth hump 1.5 m high is introduced in the channel floor, a drop of 1 m is produced in the water surface. What is the flow rate, neglecting energy losses? It is proposed to place a pier at the...

Thinking of individual fluid particles, my guess is that the "force" is simply particles backing up somewhat at the constriction point and contributing a higher proportion of collisions on particles ahead of them in a direction down the pipe. As the average movement of the particles is directed...

So Volume Flow Rate (Q) = (P2-P1)/R where R is the total resistance of the system. R is directly proportional to Length and inversely proportional to surface area, and the inherent resistance (viscosity) of the fluid. But R =nL/r^4. r^4 rather than r^2. So there has to be another factor...

Basically, I'm modelling the flow of a "coating" process -- a fluid flow between a flat moving plane and a stationary cylinder, 2D, cartesian coordinates. Subscript 0 is the at the minimum height b/w the plane and the cylinder, and subscript c is at the point at which the flow leaves the moving...

Homework Statement Write down the complex potential for a source of strength m located at z=ih and a source of strength m located at z=-ih. Show that the real axis is a streamline in the resulting flow field, and so deduce that the complex potential for the two sources is also the complex...

I have a non-rigid vessel holding a fluid with a tube for fluid flow out. It is initially at equilibrium pressure with the atmosphere. (Think a water bladder for a camelback hydration system) A pressure is then applied to the bag to cause fluid to flow out the tube. Is there a way to relate the...

I am a student of 11th standard and being introduced to Bernoulli's principle made me wonder , how does flow takes place in positive pressure gradient (i.e. from low pressure region to high pressure region), in a diffuser or a diverging part of a venturi meter , since we know that flow always...

Hi, When we want to solve the Navier-Stokes equations coupled with the conservation of mass for incompressible fluids using the primitive-variable approach, we have to face to the problem that the equation for the continuity equation does not contain the pressure which leads to spurious...

Homework Statement The pump in the system below has an efficiency of 75%. The atmospheric pressure is 101 kPa and the vapor pressure is 2.3 kPa (in absolute units). Assume kinematic viscosity is 0.96x10-6 m2/s. Neglect minor losses. a) Calculate the velocity through the main pipe and of...

I was working on a project for which I was considering letting a liquid flow out of a bottle rather than pump it out, but I know that the flow rate changes as the height of the fluid within the container changes, which is an issue. I then remembered that bartenders count time to measure their...

Homework Statement Consider a tube of uniform cross section, let one end (a) of the tube is at height h1 and other end (b) is at height h2, where h2>h. Now an incompressible fluid passing through the tube the workdone to pass the liquid at end (a) P1V1 and workdone to pass the liquid at end...

Hi, I need clarification on the difference in head loss for turbulent flow and laminar flow. I understand how the head loss due to friction is different for the two regimes. For friction head loss, the friction factor is 64/Re for laminar flow, and a more complex formula for turbulent flow. I...

Homework Statement In 1993 the radius of Hurricane Emily was about 350 km. The wind speed near the center ("eye") of the hurricane, whose radius was about 30 km, reached about 200 km/h. As air swirled in from the rim of the hurricane toward the eye, its angular momentum remained roughly...

Homework Statement Water travels through a pipe with a radius of 1 inch at a speed of 2 m/s. There is a nozzle at the end of the pipe with a radius of 1/4 inch. The pipe is horizontal and 2m above the ground. How far does the water travel in the air before hitting the ground? r1 = 1 in. r2...

Homework Statement A sphere of radius ##a## is submerged in a fluid which is flowing in the z-hat direction. There is some associated viscosity in the fluid which will exert a force on the sphere. Use symmetry to argue that the net force will be in the z-direction. Show that it will have the...

Homework Statement You are given an open-ended mercury manometer and asked to determine the pressure in a pipeline that supplies feed gas to a reactor. However, when you connect the manometer to the pipeline, you notice that the calibration markings in the leg that connects to the...

I just read this, from a site dedicated to popularizing science: " ...think of air as being like water. If you have a garden hose and put your thumb over the end, the pressure increases and water sprays out. Same thing with air. Except the increased pressure is under a plane's wings and...

In work that I've been doing, we've come across an interesting problem. In a manufacturing process, a highly viscous, non-Newtonian fluid goes down a vertical chute and then gets pushed horizontally out the bottom by some rotating screws. Sometimes, the fluid gets pushed out the bottom, but...

This a practical problem for the design of a system which uses a water driven hydraulic motor. Assume a 100 gallon tank is filled with water, constantly filled further pressurized by a pump to 500psi Assume a hydraulic powered motor which operates with intake required at 200psi...

this is not a homework problem, its a practical problem for a system I'm working on, but its looks pretty much like a homework problem so posting here. Homework Statement Assume a 100 gallon tank is filled with water, constantly filled and pressurized by a pump to 1000psi Assume a hydraulic...

In Helmholtz original thesis On integrals of the hydrodynamical equations, which express vortex-motion, he mentioned in the first section that the change undergone by an arbitrary infinitesimal volume of water under the time dt is composed of three different motions. One of them is an expansion...

I've read that you can view static pressure of a fluid as energy density, which makes sense to me. I've also seen that the power of a fluid flow can be calculated by multiplying the pressure by the volumetric flow rate. However, doesn't a flow also have kinetic energy? How can you calculate the...

I am working on a fluid mechanics problem modeling something I've come into contact with at work. I have an open to atmosphere reservoir of a fluid with properties as follows SG=1.48 Viscosity= 47000 Cp Height of fluid column, 3 inches or so. i.e. Neglible I then have a pressure...

Ok so maybe this will take some work to wrap your heads around. Maybe not. I sure know that I have had some real doozies of headaches working with this and visualizing it. Rather than look at particle capture in a gold sluice as a CFD problem I have been trying to visualize it as a statistcal...

Fluid flows faster in a narrow tube which results in low pressure and high pressure in a large tube?

Homework Statement The Attempt at a Solution So first I found the density of the air coming in and going out. Next I used conservation of momentum with two forces caused by the pressures at the entrance and the exit of the nozzle. I end up getting 1004 which is not the same as...

Does a pipe have to be completely filled with a fluid to measure its pressure? For instance if I have a small diameter pipe that diverges to a bigger pipe. The small pipe will be completely filled with water, but will the bigger pipe be? If the bigger pipe is only half full of flowing water...

Hi, Can Someone Elaborate the fluid(water) Characteristics Such as Velocity n pressure When it passes through a divergent Part. Actually The Fluid is pumped Out from A 0.5HP Centrifugal Pump and then made to pass through a Divergent Part.

Hi, I'm looking at the solution to a question on fluid flow through a rigid pipe. Original equation: \mu u = 0.25r^{2} dp/dx + Aln(r) + B After applying boundary conditions: \mu u = 0.25dp/dx (r^{2} - a^{2}) I don't understand how the constants have been solved for. Below is as far as I get...

hi all,i have recently started studying a subject heat transfer,in which i learned that there are two types boundary layers.one is velocity boundary and other is temperature boundary layer..now my question is that..boundary layer thickness increases in flow direction,what is the physical...

This may sound like a basic question, but it's just to get it clear: When describing fluid flows, does the term "incompressible" mean exactly the same thing as "constant density"? I was under the impression that if a fluid cannot be compressed, then its density must remain constant for any...

Hi guys this is my first ever homework post on here so be nice please :D. 1. I have attached an attempt on paint to give you a very rough idea of the very simple heat exchanger. The pipes are cooled by the air and it is a good few metres above the ground. For simplicities sakes let's say, for...

Following this example, http://www.creatis.insa-lyon.fr/~dsarrut/bib/others/phys/www.jwave.vt.edu/crcd/batra/lectures/esmmse5984/node53.html I know you can solve for v by integrating the equations along with boundary conditions. How would you solve a problem where you have another...

A little help. I want to calculate the volumetric flow rate (SCFM (standard cubic feet per minute) of a pipe knowing the pressure inside the pipe as well as the diameter of the pipe. I know Where v is velocity and A cross sectional area. However, I need help finding out my...

Attached pdf contains the problem, and my progress in working it. My question is, I'm not really sure how to proceed. Anyone care to push me in the right direction?

All problem info, and my work is done in the attached pdf. Basically, I'm not sure that I have done it correctly.

A cylinder, open at both ends, laying flat level is to be filled with a substance that will harden as cement.One end has a 90 elbow attached at one end in order to fill cylinder.The cylinder is 25 ft long and 1 ft in diameter.Will gravity alone take the fluid to the very end of the cylinder...

I have a question. All things being equal as far as flow and pressure goes...where would the gas preferentially flow in the drawing I made. To T1 or T2. Is there equation someone can point me to that will show this. Thanks.

My physics book explains that this is because of the conservation of charge and the fact that charge doesn't accumulate at a certain point. Can someone please explain this in detail, especially the part where it says that charge can't accumulate. Another question which i think is similar is...

I'm looking to do a fluid flow analysis on the recoil mechanism of a howitzer. The analysis will involve simulating oil flowing through some complex orifice profiles. There will be 2 fluids (oil & nitrogen) in different parts of the recoil mechanism. The results I would like from the...

Homework Statement Problem statement: We are measuring the flow rates of liquids of different viscosities through holes of varying sizes. We ultimately want to observe the relationship between the viscosity and the flow rate, and also between the diameter and the flow rate. Variables...