I've just recently learned about Yves Clouder's hydrodynamics models that show quantum mechanics behaviour emerging from a vibrating fluid. As a "born-again student", this seems very exciting to me - especially in the sense that at the very least it offers a mental model that helps come to grips...
Hi,
I was recently thinking about a problem which I have no idea how to solve.
A full water container with volume V is hanged on a rope with length L (mass of the rope is negligible). It then starts to revolute around the point where the rope is hooked (circular motion, circle with radius L)...
Homework Statement
Gate AB in Fig. P2.62 is 15 ft long and 8 ft wide into the paper and is hinged at B with a stop at A. The water is at 20°C. The gate is 1-in-thick steel, SG =7.85. Compute the water level h for which the gate will start to fail.
Homework Equations
F = δhcgA
Ycp =...
What is the pressure on a horizontal surface with an area of 2m^2 that is 4m underwater?
I tried to just use the formula: Force= (Density of water)(Area)(Depth)(gravity), plugging in the values Force=(1000kg/m^3)(2m^2)(4m)(9.8m/sec^2) and get 78400 N, when in reality the real answer is...
Homework Statement
Hi, I wasn't sure whether to post this here or in the engineering forums. Since it's mainly math/theory I figured here would be more appropriate. Feel free to move it if it doesn't belong here. All relevant info etc. is in the picture, thanks.
Homework Equations
The...
MODERATOR NOTE: THIS HOMEWORK WAS SUBMITTED TO A NON-HOMEWORK FORUM SO THERE IS NO TEMPLATE
Hi everyone,
I'm stuck on a fluid mechanics problem and maybe you could help me.
As shown in figure, there is a two-dimensional converging channel, in which cross-section area varies linearly with x...
This is a diagram of a pitot-static tube. My question is however not related to its applications but rather, what causes the liquid to rise up the static tube? The static tube is at right angles to the fluid flow. I understand that this is a very basic question but I can't seem to get my head...
Homework Statement
The conical bearing is placed in a lubricating Newtonian fluid having a viscosity μ.
Determine the torque T required to rotate the bearing with a constant angular velocity of ω. Assume the velocity profile along the thickness t of the fluid is linear.
Homework Equations
v=ωr...
Hi all,
I'm sorry if this is an inappropriate question. I have built a basement swimming pool for my wife. Unfortunately I neglected to insulate outside the concrete and insulating inside the concrete has caused some construction issues so I am trying to work out the heat loss if I go ahead...
Homework Statement
This is an optional question given to Fluid mechanic students to work on for leisure.
P = power
ρ = fluid density, rho
ω= angular velocity omega
μ= dynamic viscosity, mu
D= diameter
Homework Equations
Show the that the power required to rotate the disc is given by...
First by "this derivation" I'm referring to an online tutorial: http://farside.ph.utexas.edu/teaching/336L/Fluidhtml/node9.html
It's said in the above tutorial that the ##i-th## component of the total torque acting on a fluid element is
##\tau_i = \int_V \epsilon_{ijk} \cdot x_{j} \cdot F_{k}...
A hypodermic syringe contains a medicine with the density of water (figure below). The barrel of the syringe has a cross-sectional area of 2.18 10-5 m2. In the absence of a force on the plunger, the pressure everywhere is 1.00 atm.
A force of magnitude 1.78 N is exerted on the plunger, making...
I adjust my tap to produce a thread of water about 2 mm in diameter. It breaks up into droplets about 10 cm below the spout. I touch the thread near the spout with the tip of a single hair (from my head). I see ripples (standing, not travelling) on the thread 1-2 cm below the hair. The strange...
If I were to do research in fluid mechanics with a geologist, would this be looked down upon by grad programs if I went into, say astrophysics or HEP? I don't know what I want to specialize in yet?
Hello all,
I have an oxygen tank that is 10 L in volume, pressurized at 500 barr (pressure can be adjusted down to 1 barr out of the tube), and I want to 'bubble' the oxygen into a beaker of water. I will simply use a tube (diameter is around 0.5 cm) connected from the tank and with the other...
Hey Guys,
i have a system that I'm pumping with water/ saline. as illustrated below.
At the inflow i hooked up a pressure gage to my pump and read 120mmHg (closed system), and at the outflow I am reading 400ml/min ( I did this by disconnecting the system and timed filling a beaker). I'm trying...
Hello,
I need some help with a problem in fluid mechanics. Consider a situation where a cylinder ( of a given radius and length) is kept at an angle theta to the vertical, and a fluid flows across this cylinder. I need to determine the forces and moments acting on this cylinder, for different...
I want to be able to calculate the change in velocity of a fluid flowing down a slope using the drag equation as the source of friction. However the drag equation uses velocity squared which is constantly changing as the fluid accelerates/decelerates. How do I integrate the drag equation into...
I have read articles regarding Chinese junks which utilise rudders made of rubber, and they usually have diamond shaped holes in them. These articles claim that the holes provide better handling of the junks compared to a full rudder without holes in them.
What are your thoughts regarding how...
Homework Statement
Water flows at 0.25 L/s through a 9.0-m-long garden hose 2.0 cm in diameter that is lying flat on the ground. The temperature of the water is 20 ∘C. What is the gauge pressure of the water where it enters the hose?
Side question: does the velocity of the water flow need to...
Considering horizontal flow in a pipe (under the action of pressure forces only) if we focus on a fluid element we have a pressure gradient across the same i.e, a net pressure force will always act over the element that essentially maintains the flow.Now, in a region in the flow field if the...
Hello,
I am working on a solo project outside my domain of expertise (Physics PhD student). I am trying to analyze/replicate the wave phenomena shown in the following video:
To summarize what I am doing:
I need to analyze a simple (cylindrical) pool, say 17.5" wide, 4" deep
Figure out how...
Hi guys,
I have quick question about calculating the power lost in fluid flow.
So imagine there is a simple setup as in the attached image, where you know the mass flow in and out, pressures at inlet and outlet and the temperature at the inlet.
Is the equation to find the power lost or...
Hello!
While studying from the book 'Fluid Mechanics' by Cengel I came across the section which explains the behavior of fluids acting like a rigid body when the cylindrical container which contains the liquid rotates with a uniform angular velocity. Without much explanation the author states...
Hello.
I am in the process of calculating the brake fluid volume in the reservoir. I have a front disc and rear drum brake system. While the piston travel is clear for the disc brake, my question is related to the drum brake wheel cylinder piston travel. Assuming that the liner wear is 8 mm...
If I placed a anti-symmetric object in water, and if it floats,is it possible for it to move left or right due to a force imbalance in calculating \int p * \vec{dA} .
I know that if the object is a closed surface, we can apply the divergence theorem and because we also know how pressure...
Hi!
I wonder about how for instance water temperature is changed with regard to applied heat.
You all know that if you take ice and heat it up temperture will climb until it reaches 0C.
When it reaches 0C it however stobs climbing in tempertaure regardless of how much heat you supply.
It is...
Alright everyone, I know this is a huge question, but I've done enough homework to at least have informed ignorance on the subject. I posted a similar topic here, but that question was more conceptual and this definitely is much more of an applied use question.
(Edit: I realize that the above...
I want to mix oil and gas by the tank for my leaf blower. The mix is 40:1 My tank holds 16 oz.
The manual says 3.2oz. of oil per 1 gal. of gas. I came up with 2.4 teaspoons of oil to the 16oz. tank. Am I right?. The reason for this question is that I don't use the leaf blower that often and...
So the textbook I am reading says that a perfect fluid cannot sustain shear stress, or that p_{yx}=2\mu \dot \epsilon_{yx} =0, where \mu is the viscosity, and \dot \epsilon_{yx} is the rate of angular deformation. Then it says when \dot \epsilon_{yx} =0, this means that "two adjacent...
Imagine a high cylindrical vessel (like a vertical pipe with bottom installed) of an OD = 10 inches and fluid inside that vessel (e.g. water). If we install pressure sensor on the wall of the vessel (inside the the vessel) near the bottom, it will read hydro-static pressure of the fluid column...
Homework Statement
A seaplane flies at 100 mph through air at 45 *F. At what distance from the leading edge of the underside of the fuselage does the boundary layer transition to turbulence?
Homework Equations
Re = pvL/u
Re is Reynolds number
p (rho) is the density
V is the characteristic...
Homework Statement
Let's say I am plowing snow in a straight line using a standard V-plow. The angle of the V between both blades is 130 degrees. The coefficient of kinetic friction between the blades and the snow is about .1. The speed of the plow is 5 mph or 2.2 meters per second. The...
Hello, I don't know if this question belonged here or in General Physics, so I apologize if I made a mistake. My question is simple, what are the Navier-Stokes Equations for a Compressible Fluid? I don't mean from a conceptual point of view, what I mean are the mathematical equations themselves...
Homework Statement
Hot magma (1500 K) is flowing into the Earth at rates of 0.05 meters/year, 0.5 meters per years and 1 meter per year.
Although more total volume of magma will retain a temperature at or above 1150 K at higher rates of flow for any given time (say, at 1000 years), a higher...
I have a quick question regarding compressible fluid flow, specifically: for a given amount of time, how much pressure is lost when attaching a balloon valve to a small air tank. I decided to model my solution after the following problem (from an old fluid mechanics textbook of mine),
Air is...
1. I am trying to help my grandson with his homework and I have to determine the flow of a fluid in a pipe. I am told that mass flow rate is 4Kg/s; density p is 1012Kg/m3; Diameters D1 = 300mm, D2 = 400mm; Pressure P1 = 700Pa, P2 = 600Pa; Heights y1=0mm, y2=100mm
2. I have applied Bernoulli's...
Homework Statement
Water is flowing upwards through a vertical pipe. When a manometer is attached to the
pipe in the manner shown in the diagram, the manometer fluid (mercury) is displaced by 10
cm as illustrated.
Ignore friction in the pipe.
(i) Express the pressure at point (1a) in terms of...
I've been thinking of making DIY Windshield washer fluid. I was planning to source some 2-Butoxyethanol and mix it in with a 1% dilution with distilled or demineralised water (whichever I can get my hands on). Do you think that should make a good summer windshield washing fluid or am I missing...
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...
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A two-dimensional beam of thickness S and velocity c (evenly distributed at the thickness) falls in stationary plate and get separated. Calculate the ratio of thicknesses S1/S2 as a function of the angle φ.
(see attachment)In my notes there is this solution:
Continuity equation:
Let...
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...
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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 $$div u=0...
Homework Statement
A converging meniscus lens is made of glass with index of refraction n = 1.55, and its sides have radii of curvature of 4.5 cm and 9 cm. The concave surface is placed upward and filled with carbon tetrachloride which has index of refraction n' = 1.46. Using the result in...
Assuming a flow can be idealised as incompressible, then can you use the constant pressure assumption ?
I just want to get my understanding clear. My problem is the following.Consider a fluid element with volume ##V## and a fixed number of molecules. If the flow is incompressible, then the...
Homework Statement
Does the delay of propagation of pressure gives a torque during a short time ?
A disk full of a liquid turns at a constant angular velocity w around the red axis. At a time, a valve move out, this will increase quickly the pressure inside the liquid.
1/ Draw the lines...
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I am looking at the conservation of momentum.
The force at $W$ from the tensions at the boundary $\partial{W}$ is $$\overrightarrow{S}_{\partial{W}}=-\int_{\partial{W}}p \cdot \overrightarrow{n}dA=-\int_{W}\nabla p dV$$ where $p(\overrightarrow{x}, t)$ the pressure and...