Transport Definition and 239 Threads

Any one have online documents showing the complete derivation of the both with the numerical solution ?

i got this from my notws and i just can't seem to figure out how the second step is obtained? can someone explain to me where the where r's in the numerator came from on the second line when dividing by the volume of the shell?

On My Knees Need Help! to transport a load of 1kg up a ramp. Homework Statement Your group are required to design a transporter, A, which will be required to transport a load of 1kg up a ramp. The dimension of the ramp is shown in the figure below. The requirement of the transporter are: 1...

Hey guys, there is this superhard question (atleast for me). I've been trying at it for days but I seem to get nowhere. The Trans-Alaska Pipeline System (TAPS) carries around 100,000m3 of oil per day from the Northern Alaskan oil fields to the nearest ice-free port of Valdez, around 1300km...

Hi, I'm struggling to understand one step in the derivation of the Reynold's Transport Theorem. I get as far as: \begin{equation} \frac{d}{dt} \int_{V(t)} f(\mathbf x, t) \, dV = \frac {d} {dt} \int_{V_0} f(\mathbf X,t) J(\mathbf X,t) \, dV = \int_{V_0} J \frac {\partial f} {\partial t}...

Can anyone break down "quantum interference" in the tunneling transport through aromatic organic molecules? The Math is a little fuzzy, but with a few seminal reference or a conceptual description i might be able to wrap my mind lips around this knowledge pop! haha. any help would be appreciated.

If you walk at constant latitude with your arm always sticking towards the North pole, is that parallel transport of your arm? The equations don't seem to say it is. The vector field would be \vec{V}=V(\theta)e_\theta . The component of the vector only depends on theta, but at constant...

Can anybody explain in a few words these two modes of spin transport and what are the difference between them. Thanks.

I am having trouble understanding the concept of parallel transport of a vector along a closed curve. It is said that if the space where the curve resides has a curvature the orientation of the vector will change when it comes back to its original position. Can you help me in visualizing this...

Hi guys, here's my question: An accelerated observer (both in curved or non-curved space) who Fermi Walker transports his own basis vectors set along his world line will have the metric in the minkowsky form \eta_{\mu\nu} at each point of the world line? AND if the observer follows a...

Boltzmann transport equation & drift-diffusion equation ~ Plz help me! 1. From the Boltzmann transport equation, derive the energy conservation equation for mass conserving particles. Use the momentum equation to subtract the mechanical energy component, and then derive the equation for...

Hello. Do you know any textbook about Statistical Mechanics that discusses Boltzmann Transport Equation? It is not discussed in the textbooks that I know. Thank you.

Homework Statement If I have a two curves \gamma_{1}, \gamma_{2} with the same start and end points, lying on a smooth manifold M. For a vector v at the "start" point, if I parallelly transport down both curves to the "end" point, will the two vectors at the "end" be different or the same...

A large truck is to transport 30,000 Kg of orange pre-cooled to 4oC under average temperature of 27oC. The structure of the walls of the truck is such that the rate of heat transportation is UA=80W per oC temperature difference between the ambient and the oranges. From past experience, ambient...

If I know the metric everywhere, and I specify a closed path, how can I calculate whether a vector parallel transported around the path will return to being the same vector or not? I assume there is some simple integral to describe this, but I'm not sure how to write it down. Unfortunately...

Hello all: I'm a thermodynamicist wanting to get into transport modeling. In my reading, I have come across "operator splitting." I'm confused about exactly what this means in the context of transport modeling. This is probably a silly question, but does it refer to an advective term...

can anyone please explain me following errors of gyroscopes used in inertial navigation systems of aircraft : a) what is transport wander , how actually it happens ? b) what is apparent drift in gyroscope ? c) what is coriolis effect and how it causes errors in gyroscopes ?

I'm trying to understand parallel transport and I'm stuck. The example given is if you have a unit sphere and you take one of the latitudes (not the equator), take at a point on the latitude the tangent vector to the curve, and parallel transport it around the curve. I don't understand why the...

hi, i've never posted on here before but would appreciate any help given for this question. The scattering term (4th term) in the Boltzmann transport equation contains a double integral. What are you integrating over in each case and why is this? this may be a simple question but...

A vector field Y is parallely propagated (with respect to the Levi-Civita connection) along an affinely parameterized geodesic with tangent vector X in a Riemannian manifold. Show that the magnitudes of the vectors X, Y and the angle between them are constant along the geodesic.

I have to identify whether the following are primary active transport, secondary active transport, or passive transport. Then I have to decide what is the energy source: a chemical reaction, concentration gradient of cotransported ion, or conc gradient of transported solute. Below are my...

Many groups have created Boltzmann solvers for photon/neutron transport simulations of reactors over the years - but has anyone released their code? I am specifically interested in Boltzmann solvers, not Monte Carlo based calculations. If you know of any open source projects, please let me know...

I want to combine the advective transport equation for two solutes such that dC1(z)/dt=D(d2C1(z)/dz2)-v dC1(z)/dz + J1 and dC2(z)/dt=D(d2C1(z)/dz2)-v dC2(z)/dz + J2 where C is the concentration in the fluid, t = time, z = distance, v = velcity, D = dispersion coefficient, and J is a...

A boat is jet-propelled by a pump that develops a volume flow rate Q and ejects water out the stern at velocity v'. If the boat drag force is F=kv^2 where k is a constant, develop a formula for the steady forward speed v of the boat.

Hello i just joined this forum because i had an idea that i think, if it hasnt already been thought of would be a unique mode of transport over short distances, its based on the maple seed, basically it would be a single seat mono blade helicopter, the actual blade would be above the...

Hi! I've finally decided to tackle a diff geom book, but I'm having trouble with this Problem 4/Chapter 2 from Do Carmo's Riemannian Geometry: Let M^2\subset R^3 be a surface in R^3 with induced Riemannian metric. Let c:I\rightarrow M be a differentiable curve on M and let V be a vector...

This is what I currently understand by parallel transport. The definitions I've read don't talk about it in quite this way, as a vector field, but I think this is equivalent to them: Given a tangent vector V0 at some point P0, construct a vector field along an oriented curve P(?), where ...

Could anyone give me a descriptive picture on WHY geodetic precession occurs? I understand the equations from which it follows, so I can derive it algebraically, but I would like to get an intuitive feeling of why it occurs too. My problem is the following: parallel transport of vectors along...

Homework Statement in Intrinsic GaAs,electron and hole mobility are 0.85 and 0.04 meter square/volt-sec and corresponding effective mass are 0.068m and 0.5m, where m=9.11*10^(-31)kg. band gap energy is 1.43 eV at 300K. ---calculate intrinsic carrier concentration(!) and Conductivity. Homework...

I'm trying to show that \frac{d}{dt}\; g_{\mu \nu} u^{\mu} v^{\nu} = 0 in the context of parallel transport (or maybe not zero), and I'm rather insecure about the procedure. This is akin to problem 3.14 in Hobson's et al. book (General Relativity an introduction for physicists). As a guess, I...

Homework Statement I have a rod of density \rho and length l. It's located at 0\leq x\leq l . The density of internal energy per mass is E = c(T-T_0) + E_0 where T is the tempertature in Kelvin, E_0 is a constant and c is the specific heat capacity. We assume that the temperature is not...

Hi all, Sorry if this is a dumb question, but what exactly do we mean by the term parallel transport? Is it just the physicist's way of saying isometry? Also, in my class we have just defined geodesics, and we're told that having a geodesic curve cis equivalent to demanding that the unit...

Hi Can anyone throw some light on active transport? need urgent help. Thanks in advance

Homework Statement I've attached the relevant pictures. The question is: Let X,Y be two containers. At t=0, container X has 100 lt. of water with 2 kg of salt in it and Y has 100 lt. of water with 6 kg of salt. On each t>0, the system transports water as the you can see in the picture...

A vector field is parallel transported along a curve if and only if the the corariant derivative of the vector field along the path is 0. That is \frac{d}{d\lambda} V^\mu + \Gamma^\mu_{\sigma \rho} \frac{dx^\sigma}{d\lambda} V^\rho = 0 This is basically what every book says. But what...

Perhaps someone can clear up some confusion for me. EQs (1) and (2) are synonymous, but use different notations for the derivative. In my textbook, the RTT is written in the following form: Given some fluid property 'B,' let \beta be the intensive property \beta = d\, B/d\, m. Then the rate...

Hello, Ok I researched it but I don't understand. What I understand is that when one molecule normally diffuses(high to low) another molecule from a (low to high gradient) attaches to the carrier protein. How does this molecule attach without ATP? I don't get it. Any help would be...

I'm currently enrolled in a course in which we will be modeling parts of a nuclear reactor utilizing Westinghouse ANC code. Here are my questions: My professor said we will be doing coding on Unix-based machines; so, does that mean the ANC code is FORTRAN 90 based? Secondly, when...

A 1.2 ton air conditioner has the capacity to freeze 2400 lb of ice at 0°C in a day. What is the equivalent rate of transport of heat in watts? QH(out)= QL(in) + Wi Coefficient of Performance= QL/ (QH-QL) Coefficient of Performance of an Ideal System: TL/ (TH-TL) QL/QH= TL/TH I...

Homework Statement Hi everyone, I just wanted to double check if I've solved this correctly? Given: \left.\frac{du}{dx} + sin(x)\frac{du}{dy} = 0 \left.-\infty < x < \infty y > 0 \left.u(\frac{\pi}{2} , y ) = y^{2} Solve the PDE Homework Equations Method of characteristics The Attempt...

I want to know how Reynolds Equation of Momentum is accord with the 3rd law of Newton, the law of action-reaction forces. For an ideal fluid, we have that [tex] \frac {\partial m \vec {v}} {\partial t} = \vec v [ \frac {\partial {\rho }} {\partial t} + \nabla [ \rho \vec v ] + \rho [\frac...

In a Stokes theorem, the integral of all curls of a vector field enclosed in some region is equal to the line integral around the boundary. I'm wondering if a similar theorem exists for parallel transport. The Riemann curvature tensor gives a change in a vector when parallel transported...

Say we have a solid wire made of Cu. It seems most electrons transport at the surface of the wire. Right? So is there any difference of the resistance if we have a hollow Cu wire (same diameter with the solid wire). I think the answer shoule be "yes". Right? Becasuse, the resistance R=p*L/A (p...

Homework Statement 2. The attempt at a solution a) The particle seems to be 50 nm in diameter, so D = \frac{k_BT}{6 \pi \eta R} = 4.4E-12 m^2s^{-1} b) j_{diff}=-D\frac{dc}{dx} = -4.4E-12 \cdot \frac{dc}{dx} I don't know what to do next...Can I assume c(x) = c_0x...

I'm a bit confused about parallel transport. We demand that the absolute covariant derivative of our (generalised) coordinates is zero along some curve in some frame. Does this really make our vector stay parallel? What if these coordinates were angles or some other general curvilinear...

Here's my question, friends I have to define initial and boundary condition for a transport PDE: u_t+x(1-x)u_x=0 with x and t is between [0,1], to solve this equation, what kind of numerical method and boundary condition do you recommend and why? What kind of numerical error do you...

Here's my question, friends I have to define initial and boundary condition for a transport PDE: u_t+x(1-x)u_x=0 with x and t is between [0,1], to solve this equation, what kind of numerical method and boundary condition do you recommend and why? What kind of numerical error do you...

Hi dears, I'm following the book of Datta named "Quantum Transport: Atom to Transistor". But just at the beginning, I'm confused a bit;) In the book, at chapter 1, there are some equations given for the current in nanotransistors, for example, an equation for a system with density of...

Hi everybody... i would like to seek help for the problem below. the assumptions I've considered is that transfer is radial only since it is a very long cylinder (infinitely long) that transfer in z direction is negligible, thermal radiation is zero, and wood properties are constant. Starting...

Parallel transport, as one means of quantifying the curvature of a coordinate space, enables changes in a vector's components, when it is carried around variously oriented loops in that space, to be properly measured, i.e. by comparisons made at the same location. Those changes which are...