Stumbled across an old journal a few weeks ago that suggested the equation of state for a solid could be written:
V[P,T] = Vi - (C1)P + (C2)T
with an internal energy:
U[P,T] = (C3)T - (C2)PT
C1, C2, C3 being constants of course.
Does this make logical sense? It seems awfully...
Homework Statement
A block of wood with volume V floats in water with 0.67V submerged. In oil the block floats with 0.88V of its volume submerged.
(a) Find the density of the wood.
g/cm3
(b) Find the density of the oil.
g/cm3
I honestly have no idea where to begin. I...
Homework Statement
Assume the temperature of the exhaust in an exhaust pipe can be approximated by
T=T0(1+ae-bx)[1+c cos(\omegat)]
T0=100oC,
a=3,
b=0.03m-1,
c=0.05,
\omega=100 rad/s.
If the exhaust speed is a constant 3 m/s, determine the time rate of change of temperature of the...
Im working on a little project where I am attempting to generate steam from a hot gas pipe. I haven't measured the rate of flow or temperature of the fluid as of yet, and I haven't decided upon the choice of material, but I'm looking for some calculations to start.
My plan is to wrap a water...
Okay so I already asked a bit about this, but I think I'm going to need to post several questions on this to understand it, so here goes:
I understand the definition of pressure, just not how it is applied to fluids. How is pressure in a fluid to be interpreted. Is it the force that the...
Continuum approximation of fluid mechanics (& relativistic fluids)
I have a few 'foundational' questions on fluid mechanics which I haven't been able to find quick answers to, any help would be appreciated.
At the start of any course on fluids, one is told of the continuum hypothesis...
Homework Statement
An antique yellow statuette of a bird is suspended from a spring scale. The scale reads 11.81 N when the statuette is suspended in air, and it reads 11.19 N when the statuette is completely submerged in water.
a. Find the volume of the statuette
b. Is the bird made of gold...
Hi everyone,
I am wondering if the heat equation is valid for compressible fluids like air. This is assuming constant 100% humidity.
If it is not then how close is the appoximation.
The model assumes that heat moves through an array of air only by conduction. At the moment I use a...
Why is Newton's work on fluids rarely cited? And when cited it is not usually credited. Even If they called it a 'Newtonian fluid" they don't bother telling everything Newton did.
Homework Statement
Let R, L, C, K be suitable dimensional constants. In a certain motion of a fluid,
the mass density function ρ is given in the Eulerian description by ρ = R*(x1^2+L^2).
Is the velocity field v1 = C/(R*(x1^2+L^2)) e1 a possible velocity field?
Is v2 = K*exp(-x1/L)...
Hi, I have a question about fluid temperature.
I have a vague understanding that a fluid's temperature is its average kinetic energy. So, a hotter fluid has faster moving molecules on average.
What I'm wondering is, if you force water out of a faucet harder to make the water come out...
A large open tank, shown below, contains water at a height H. The water is allowed to flow out through a pipe whose cross-sectional area is A. The pipe has a nozzle at the end, whose area is a. Assuming frictionless flow, determine (i) the height h to which the water rises in the piezometer...
This question has been asked several times, but I don't want the answer (I can see the stupid answer...) I need help with my solution...
Homework Statement
A large aquarium of height 5.00m is filled with fresh water to a depth of 2.00m. One wall of the aquarium consists of thick...
Homework Statement
The picture is what the prof. gave us. It isn't the most understandable but I will try my best to describe what's going on.
As the picture shows it is a top view of the layout. The big blob on the left is a large reservoir where elevation is not needed. v, v1, v2, v3 are...
Hi, I need help with a fluid mechanics question:
A 1.5m-diameter floodgate placed vertically is 6m below the water level at it's
highest point. The gate is hinged at the top and opens into the
reservoir. Calculate the required horizontal force applied at the bottom of the gate
in order to...
Homework Statement
A square pool with 100-m-long sides is created in a concrete parking lot. The walls are concrete 90 cm thick and have a density of 2.5 g/cm3. The coefficient of static friction between the walls and the parking lot is 0.49. What is the maximum possible depth of the pool...
Homework Statement
A racquetball with a diameter of 5.6 cm and a mass of 42 g is cut in half to make a boat for American pennies made after 1982. The mass and volume of an American penny made after 1982 are 2.5 g and 0.36 cm3. How many pennies can be placed in the racquetball boat without...
In GR there is made a clear distinction between a vacuum region and a non-vacuum region as one is handled by the Ricci tensor and the other by the Weyl tensor.
But is reality so black and white? And when do we realistically talk about dust and when about fluid?
So the inside of an average...
53 ••• [SSM] A ship sails from seawater (specific gravity 1.025) into
freshwater, and therefore sinks slightly. When its 600,000-kg load is removed, it
returns to its original level. Assuming that the sides of the ship are vertical at the
water line, find the mass of the ship before it was...
26 ••• Since 1983, the US Mint has coined pennies that are made out of zinc
with a copper cladding. The mass of this type of penny is 2.50 g. Model the penny
as a uniform cylinder of height 1.23 mm and radius 9.50 mm. Assume the copper
cladding is uniformly thick on all surfaces. If the density...
The volume of a cone of height h and base radius r is V = πr2h/3. A jar
in the shape of a cone of height 25 cm has a base with a radius equal to 15 cm.
The jar is filled with water. Then its lid (the base of the cone) is screwed on and
the jar is turned over so its lid is horizontal. (a) Find...
I maintain that not only they can, but that observations illustrating the phenomena are common.
To keep the thread from fragmenting too badly, I should like to propose the following rules of discussion:
1) Liquids shall be limited to water and air.
2) Only natural flows may be offered...
Hey guys, I've been strugling with a concept recently and was hoping someone familiar with fluid dynamics could answer.
I am trying to calculate the flowrate of a flow circuit with a given pump. I have the pump performance curve (flow vs. head) of the pump and I know all the given pipe...
Hi, guys. I'm doing an extended essay in physics for the IB diploma program. The extended essay is a 4000 word research project on a topic of your choice, and I have opted to do mine in physics.
I'm having a lot of trouble narrowing down a suitable research question, and at this point, I have...
Hello friends I am again in need of some asistance,
The Question is as follows:
The pressure head in a gas main at a point 120 m above sea level is equivalent to 180 mm of water. Assuming that the densities of air and gas remain constant and equal to 1.202 kg m^-3 and 0.561 kg m^-3...
Hi all,
i'm doing a research essay on how the viscosity of a fluid affects it's splashes.
i'm currently stuck and do not know how i should approach this theoretically. i have no problem with the practical (filling up balloons with the fluid and dropping them from a height to see the splash...
Hi, I have a fluid dynamic question. I need to know the volume airflow rate (cfm) for head loss calculations in my CTIS (central tire inflation system). My goal is to use this info to come up with an analytical model of the system.
Our facility has an air compressor that is set to 72 psi...
"Fluids mechanics" is also gas mechanics?
This bothers me a bit:
Gases? You include in the chapter of "fluid mechanics" gases? These are two different states. Why not have a field called Gas mechanics? And if you want, call the entire field "Fluid-gas mechanics".
Homework Statement
A man has a garden on the roof of his building. He has a patio and a small lawn. He wants to water the lawn. He has a sprinkler in the form of a disk with 40 holes of diameter 1 mm. A line drawn tangent to the sprinkler at the location of the outer most holes would make an...
Homework Statement
hi there,
I'm working on an annealing furnace. ingots are warmed up in the oven. I'm doing this with a finite elements method called Comsol Multiphysics. This is a pretty complex software program. Can someone please help me with this part of ComsolHomework Equations
it is...
Homework Statement
A cylindrical disk of wood weighing 47.0 N and having a diameter of 30 cm floats on a cylinder of oil of density 0.850 g/cm^3 (the figure). The cylinder of oil is 75.0 cm deep and has a diameter the same as that of the wood.
a) What is the gauge pressure at the top of the...
Hi everyone, just some background information--I work in an emergency department as a trauma tech. My co-workers and I got into discussion at work about the fastest method of giving a patient fluid via an IV. We had this really sick patient who needed multiple liters of fluid and I was wondering...
Homework Statement
The streamlines of a fluid are as follows:
x = (x0) + 3(y0)t^2
y = (y0)/(1 + 2t)
z = (z0) + 5(x0)t
Find the velocity and acceleration fields in the Eulerian description (local).
Homework Equations
Total/material acceleration: Dv/Dt = dv/dt + v.grad(v)
The...
Homework Statement
A small sphere (diameter = 10 mm) is left to fall in a fluid (oil, SAEIOW) at 200 degrees
with a constant velocity of 50 mm/s..
The Following data is available:
- For SAEIOW oil at 20 degrees: p = 920 kg/m3, μ = 0.1 Pa.s
a) The drag force on the sphere
b) The...
Homework Statement
A friend and I were arguing about how tension created by a submerged ball affects the total weight of the container.
Homework Equations
I couldn't find anything similar to the situation, so I drew a quick picture to better illustrate the situation :D
A string is...
Homework Statement
Hi there. I have this problem which I'm trying to solve. Its from callen, it says:
Two ideal van der Walls fluids are contained in a cylinder, sparated by an internal moveable piston. There is one mole of each fluid, and the two fluids have the same values of the van der...
Homework Statement
A two-dimensional incompressible flow takes place in the space between two parallel
solid plane boundaries, which are a distance 2b apart. The density of the fluid is p, the
dynamic viscosity is p. and the velocity distribution in the flow is given by the expression
I...
1. A tank with vertical walls, 2m wide and 2m long and 2.5m high, is filled with 4800 litres of water (density 1000 kg/m3) and 3200 litres of light oil (density 900 kg/m3). Calculate the magnitude and location of the resultant force on each of the vertical walls of the tank.
2. By doing some...
Homework Statement
Use Buckingham's Pi Theorem to describe waves amplitude.
The Attempt at a Solution
Waves amplitude depends on:
Geometric variables: L,A
Kinematic variables: g,c (c = waves speed)
Dynamic variables: roh (density), sigma (surface tension)
Using MLT:
L = L, A =...
Homework Statement
The question pertains to hydrostatic lifts. So, assuming you have a lift and you're applying pressure to one side and the other side is rising:
P0 + P1 = P0 + P2 + (rho)gh
Now, when we look at the equation, why is it (rho)gh? I'm thinking it's something like mgh, so to...
Is it possible to use a linear accelerator to fire a magnetic fluid.
I have this idea for a science fiction story that uses a coil gun and liquid oxygen for rocket propulsion.
Is this feasible?
As always thank you for your input.
Homework Statement
A 1.06 kg hollow ball with a radius of 0.113 m, filled with air, is released from rest at the bottom of a 1.94 m deep pool of water. How high above the water does the ball shoot upward? Neglect all frictional effects, and neglect the ball's motion when it is only partially...
Homework Statement
Pressure_2.jpg: http://www.imageupload.org/thumb/thumb_8609.jpg
A vertical dam wall has a width w. Water is filled to a height H behind the dam. Calculate the resultant force on the dam wall.
Homework Equations
P=F/A
P= Pa + p*g*h
The Attempt at a...
I am researching water clocks through history. At some point, it was realized that for the container the water drips from, a conical container with the hole at its point was superior to a cylindrical container with the hole in its side. Could someone explain to me why conical containers are...
Hi all,
This is my first post and my background is in Computer Science, so pardon me if my terminology is not correct or even I sound ignorant Physics-wise :)
Anyways, I implemented a semi-Lagrangian based Navier-Stokes (NS) solver and it's running smoothly on a CUDA-capable GPU and I...
Homework Statement
Hi, this morning in the school lab we did experiments about pressure and I've some questions., could you help me? thanks!
If I fill a glass with water the atmospherical pressure press on water on top of glass because it is in contact with air, but does atmospherical...
So imagine that in an open room you have a big scale and on it you have a jar and a lid sitting next to each other. Imagine a butterfly floating into the jar but not touching the bottom. I wouldn't think this would increase the reading on the scale. But if you put the lid on the jar, closing the...
Homework Statement
problem states that ... there is a u tube and filled with liquid of densities ρ and 2ρ. the base length of the tube is 'l'. now it is accelerated towards right with accl.=a. if the HEIGHT DIFFERENCE AFTER ACCELERATING THE SYSTEM IS '0'. then what was the height difference...