Steady state Definition and 160 Threads

  1. V

    Solving Transport Phenomena in a Steady State System

    I am facing a problem on transport phenomena. Can anyone help me to solve this problem. I would really appreciate it. Its little urgent. I know that i have to use shell mass balance to start the problem but how to proceed further is what making me confused. In a beaker, a solid sphere of...
  2. M

    Does this PDE admit steady state solutions?

    Hello to everyone. I am new with this forum and I am asking help with PDE. I have a linear PDE: L f(x,y,t) = 0 where L is a second order linear operator depending on x, y, their partial derivatives, and t, but not on derivatives with respect to t. The question...
  3. A

    Steady state solution of a differential equation

    Homework Statement Hey. I am taking a MATLAB class and my instructor is absolutely horrendous. he does not teach us anything, but asks questions on everything. I'm having a problem with the following question: http://imageshack.us/photo/my-images/641/55811089.png/ What is a...
  4. G

    Engineering How Do You Build an RLC Circuit with Specific Phase and Amplitude Requirements?

    I have been given the task of building an RLC circuit that is driven at 10kHz, has an output amplitude of 1/sqrt(2) and is 45 degrees out of phase from the input voltage. I am not really even sure where to get started. Any tips will be greatly appreciated.
  5. T

    Voltage through a steady state capacitor.

    Homework Statement Homework Equations The Attempt at a Solution According to my notes when a circuit is in DC steady state inductors are short circuited and capacitors are open circuited. This leads me to believe that the voltage across the capacitor is basically the voltage looking in through...
  6. M

    What is the Steady State Temperature of a Brick Wall in a Fire?

    Homework Statement A fire in a room rapidly raises the temperature of the surface of the wall to a steady value of 1000°C. on the other side of the wall is a large warehouse, whose ambient air temperature is 20°C. If the wall is solid brick, 200 mm thick, with thermal conductivity of 0.72...
  7. E

    Steady state behavior for a particle undergoing damped forced oscillations

    Homework Statement consider a system with a damping force undergoing forced oscillations at an angular frequency ω a) what is the instantaneous kinetic energy of the system? b) what is the instantaneous potential energy of the system? c) what is the ratio of the average kinetic energy to the...
  8. M

    Engineering Sinusoidal steady state circuit

    I am trying to find the indicated currents for the following circuit, given v1 = 2sin(2t + 45): I attempted to solve it in the following way: v1 = 2sin(2t+45) // given = 2[sin(2t)cos(45) + cos(2t)sin(45)] = √2[sin(2t) + cos(2t)] I use a matrix for the loops: A = [2 -1 -1 -1 3 -1 -1 -1 3]...
  9. J

    Steady state state model consistent with Big Bang

    The model I have is very simple it is: a(t) = A * (exp(H t) - 1) where H^2 = (8 Pi G /3 ) rho_min and A is just a factor to make a = 1 at the present time t_0: A = 1 / exp(H t_0 - 1) and rho_min is the limiting density of matter in the Universe for large t. The model...
  10. S

    Steady State Error of a PI Controlled System (parabolic input)

    Hey guys/gals, The block diagram attached is a PI controlled robotic joint system where: G(s)=Kp+(Ki/s) P(s)=48500/(s^2+2.89s) R(s)= joint’s desired angular position C(s)= joint’s angular position D(s)= external disturbance G(s)= PI controller ess= Steady State Error My...
  11. S

    Heat loss whilst in steady state

    Hi all, I have a system which involves a ventilated box with a heat source located inside, if the heat source inside is say 1KW and I know it eventually reaches a steady state, in an ideal world it would reach this steady state by effectively ventilating 1KW of heat through the opening and...
  12. R

    Use of Thevenin's theorem in Steady State Analysis

    Homework Statement R1 = 29 ohm R2 = 23 ohm f = 60hz L = 20mH C = .1uF Is = 27A K = 12 See picture for circuit.Homework Equations KCL, KVL, is = Is cos (wt), V = IZ The Attempt at a Solution I first did a source conversion to volts then tried to love using KCL and the nodal method. When I...
  13. G

    Time to reach thermal equilibrium and/or a steady state

    I want to calculate the time it takes for a spherical sample (radius, r) to reach thermal equilibrium in an oven where the temperature is held constant. I don’t need a super accurate answer, within 5-10 seconds is sufficient. Is it reasonable to simply say that when the Fourier Number (Fo) is...
  14. B

    Neumann BVP steady state solution

    Homework Statement U_t = u_{xx} - 4U u_x (0, t) = 0, u_x (\pi, t) = 1 u(x, 0) = 4cos(4x) Find a steady state solution to the boundary value problem. Homework Equations n/a The Attempt at a Solution Well I'm quite comfortable solving dirichlet/ mixed boundary value...
  15. C

    Steady state heat equation in concentric spherical shells

    Homework Statement Homework Equations The Attempt at a Solution I'm trying to find the steady state solution to the heat equation for a system of spherical shells (looks like http://correlatingcancer.com/wp-content/uploads/2009/01/nanoshell-thumb.jpg" ) where heat generation Q occurs in...
  16. D

    Modified heat equation steady state

    Homework Statement determine the steady state equation for the given heat equation and boundary conditions Homework Equations Ut=Uxx-4(U-T) U(0,T)=T U(4,T)=0 U(x,0)=f(x) The Attempt at a Solution I put Ut=0 so 0=UInf''-4(Uinf-T) then once I tried to integrate I ended up with a...
  17. M

    Steady state model for a pressurized vessle

    I am trying to figure out the relationship between the air pressure inside of an inflated bladder and the diameter of the outlet with a fixed inlet flow rate. The inlet is fed by a blower which is delivering 600 scfm to the system through a 4" diameter inlet. The bladder is large, it is...
  18. Greg Bernhardt

    What is the evidence on Big Bang versus steady state cosmologies?

    FAQ: What is the evidence on Big Bang versus steady state cosmologies? Let's consider this question first under the assumption that general relativity and standard quantum mechanics are valid. (Both QM and GR have been verified to high precision by a wide variety of empirical tests.[Will])...
  19. J

    Steady state Vertical diffusion equation

    Hallo everyone, I am trying to find the way to solve the vertical diffusion equation for a spicies X in the atmosphere for steady state conditions (dc/dt=0). The equation has the form, dJ/dz -P+S=0 where J =(vs*C(z)) + rho*kz*d/dz(C(z)/rho(z)) is the flux of spicies X at height z...
  20. D

    How to find the steady state solution

    consider and determine the steady state solution of the differential equation below. dy/dx = y(y-1)(y+1) We can separate the variables, break the integrand into partial fractions, and integrate the fractions easily. Solving gives y = the square root of 1 / (1 - e^(2t)). as t goes to...
  21. C

    Calculating the Steady State Value of Vc After Opening a Switch in a RC Circuit

    Please Help me with this problem or with understanding it. Thank you! Homework Statement What is the stead-state value of Vc after the switch opens? Determine how long it takes after the switch opens before Vc is within 1 percent of its stead-state value. Homework Equations Vc = Vie-t/RC...
  22. S

    2nd order System steady state error

    Homework Statement The system's closed loop transfer function is given below, find K and \alpha such that the input R(s) = 1/s^2 has no steady state error. (Hint: the system is not a unit feedback system) http://img829.imageshack.us/img829/9899/problempr.png Homework Equations not sure...
  23. N

    Steady State 2-D Heat Equation with Mixed Boundary Conditions

    Homework Statement I am trying to solve the Laplacian Equation with mixed boundary conditions on a rectangular square that is 1m x 1m. Homework Equations \nabla2T=0 .....T=500K ....________ ....|@@@@| T=500K...|@@@@|...T=500K ....|@@@@| ....|______.| ....Convection ....dT...
  24. D

    Heat transfer (steady state, one dimensional)

    Homework Statement Find the heat flow and the interface temperatures of the given figure. Homework Equations The Attempt at a Solution Do solve it correctly? I do not know how to solve the interface temperatures in case of parallel. Can you explain to me how to solve it
  25. S

    Is Steady State Achieved in Actual Bearing Operation?

    Steady state is defined as the state at which at the temperature attained becomes constant. To say, there is no decrease or increase in temperature. It can also be defined as the state where the heat generated is equal to the heat dissipated. I have been capturing thermal images of a bearing in...
  26. J

    Understanding Steady State of Electric/Electronic Systems

    Hi, Can anyone explain what the steady state of a electric/electronic system is? as well as its significance and importance? is it the same as a dc steady state?
  27. V

    Steady State Torque for a Quadcopter

    My partner and I are working on a quadcopter, but we can't seem to find the correct equation we need for the counteracting steady state torque that is applied by the chassis to the motor. Obviously it would have the same magnitude of the state state torque of the propeller, but in the opposite...
  28. B

    Finding U-value for Wall with Plasterboard Lining and Air Gap

    Homework Statement There is a wall 100 mm thick, find the U-value. Then a plasterboard lining is added of thickness x and a gap between it and the wall of 20 mm wall thickness b=0.1m, thermal conductivity \kappa_1=0.5 W m^{-1} K^{-1} plasterboard thickness xm, thermal conductivity \kappa_2=0.1...
  29. T

    WHY does CURRENT attain STEADY state?

    When charges are flowing (current) through a combination of conductors of different resistances in series, then why don't the charges flow faster(more current) in the material with lower resistance and slower(less current) in high resistance material? Why is the current same(steady) in the whole...
  30. E

    Steady state transition matrix

    Ok, I'm lost. I've an exam coming up so could so with a speedy reply. This whole transition matrix stuff is not explained at all in our lecture notes. Here's an example question: "Suppose that a country has a fixed number of voters, all of whom vote for either party D or party R. Every...
  31. C

    Steady State Ideal Gas Where Do I start

    Uncle Sam claims that he invented a black-box device which operates at steady state, and has two inlet streams and one outlet stream as shown in the figure below. Inlet 1 allows air to enter at a pressure of 200 kPa, temperature of -50 oC, and mass flow rate of 30 kg/min. Inlet 2 allows air in...
  32. O

    Is Heat Release Necessary for Steady State Equilibrium in Heat Flow?

    If an object receives heat from a heat reservoir, is it necessary for the heat receiver to release heat? Can the heat receiver increase its internal energy without heat flow out of the receiver? And what happens when the system between heat provider and heat receiver reaches a steady state...
  33. G

    Steady state temperature in a hollow cylinder

    Homework Statement Using cylindrical coordinates rho,phi, and z, let u([rho,phi) denote steady temperatures in a long hollow cylinder a leq rho leq b, -infinity < z < infinity when the temperatures on the inner surface rho= a are f(phi) and the temperature of the outer surface rho = b is zero...
  34. O

    Steady state temperature of wafers?

    Homework Statement A 50mm wafer, 2mm thick is implanted with Boron at 100keV and 1mA. Considering only conductive cooling, given that thermal resistance is 10K/W, to room temperature of 25oC, determine the steady state wafer temperature and also the time constant for heating Homework...
  35. J

    Steady state temperature of insulated rod

    Problem: Find the steady state temperature of a laterally insulated rod subject to the following conditions. Length of the rod 10, , left end kept at 0 and right end at 100 Solution: i got this equation from a book i don't know if this applied to this problem but i don't know what to do...
  36. J

    Steady state temperature

    Problem 1 : Find the steady state temperature of a laterally insulated rod subject to the following conditions. Length of the rod 20, left end insulated and right end held at 100 I am not sure if i fully understand this problem, is this asking me to list the Boundary value conditions ? like...
  37. V

    How Do I Approach a Steady State Current Problem?

    Homework Statement Hello, I've just done a paper on basic electronics and I'm stuck on the last question. I don't know how to go about doing the question. Homework Equations N/A The Attempt at a Solution I don't know how to even start with the question. I've tried googling...
  38. L

    Question about the Steady State Theory (Cosmological model)

    If this should be in the cosmological section, then i don't mind to see it moved, but since it appears to be an abandoned theory, I'm posting this in the classic physics section. I was talking to a religious person, and he was claiming that the big bang theory was... wrong, that it had been...
  39. M

    Linear Algebra; Stochastic matrix and Steady State vectors

    Homework Statement Question: 18. Show that every 2 x 2 stochastic matrix has at least one steady-state vector. Any such matrix can be written as P = |1-a b | | a 1-b | where a and b are constants between 0 and 1. (There are two linearly independent steady-state...
  40. M

    What is Steady State Torque and How is it Calculated?

    Can someone tell me what Steady State (Operating) Torque is and how to calculate it? I'm guessing that it is the troque at operating speed. Any help would be appreciated. Thanks,
  41. S

    1-D steady state heat conduction equation (Cartisian, Cylindrical and Sperical)

    Homework Statement The one dimensional steady-state heat conduction equation in a medium with constant conductivity (k) with a constant volumetric heat generation in three different coordinate systems (fuel rods in a nuclear power plant) is given as: \frac{d^2 T}{dx^2}=-\frac{\dot{q}}{k}...
  42. H

    Fourier transform and steady state solution?

    Hi all! I am asking about a question about Fourier transform. I can only roughly remember things about Fourier transform. I am told that Fourier transform gives the steady state solution, is it? I can hardly relate these two concepts. Can someone try to explain? Many thanks.
  43. J

    Adiabatic steady state flow in a nozzle

    air enters an adaibatic nozzle steadily at 300 kPa, 200 degree celcius and 30m/s and leaves at 100 kPa and 180 m/s. find the exit temperature? when m using energy balance equation: h1 + [ (v1)^2 / 2 ] = h2 + [(v2)^2 / 2 ] i get the answer 184 degree celcius. but when i use the other...
  44. U

    Steady state heat conduction problem

    I have to solve a problem regarding "2D steady state heat conduction problem with an internal heat generation source". For boundary value, dirichlet is applied at 3 sides and neumann is at one side. I can solve this problem when no internal heat source exists and only dirichlet is applied...
  45. H

    Does the accelerated Expansion add credibility to Steady State Cosmology?

    Recently the expansion of the Universe has been found to accelerate. When studying Hoyle, Gold and Bondi's Steady State Cosmology, it clearly predicts an acceleration like this. I realize that this theory has been 'put to bed', and abolished, and all the other colorful language people like to...
  46. K

    Proving Steady State of Initial Vector S0

    Homework Statement Prove that for any initial state vector S0= [r0 p0 w0] as long as you begin with legitamite proportions (so that r0+p0+w0=1), after a long run you get the same result as Sk= [1/4 1/2 1/4] Homework Equations Sk= b1(Lambda1)^k [X1] +...
  47. maverick280857

    Query regarding steady state error in a velocity control system

    Hi I was reading BC Kuo's Automatic Control Systems where I came across a solved problem (page 369 of 7th edition) regarding velocity control. I have a problem understanding how the steady state error has been computed. The original problem and its solution as given in the book are quoted...
  48. B

    Steady state energy vs. energy rate

    I went for a run and measured time and distance. I wanted to estimate how many calories I used. Suppose a ran a distance x in an amount of t time. if my mass is m, then my stead state average energy would be E=\frac{1}{2}m\frac{\Delta{x}^2}{\Delta{t}^2} But what is the rate at which...
  49. M

    Is There a Quicker Way to Find the Steady State Solution Than Solving y(t)?

    [SOLVED] Steady state solution I was wondering if I did this question correctly, solving for y(t) and putting t = infinity to get a steady state solution. Or is this wrong or is there an alternative way that is much quicker (as solving for y(t) would take a page of working, where the working...
  50. M

    Conduction - Steady State Triangular Element

    Homework Statement Obtain the temperature distribution T(x,y) of the triangular cross section, assuming constant thermal conductivity, k. The triangle is a right-isosceles triangle with the right angle at (0,0). The triangle goes "up" to a, and to the right to a, then diagonally across...
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