Steady state Definition and 177 Threads

Homework Statement So this is a bit of a two-part question and I'm unsure which part I'm not doing right (or both!). i) Find the closed loop transfer function of the system shown ii) Design a proportional controller for the system to give a 10% steady state error Any help, hints, suggestions...

Homework Statement At steady state, a stream of liquid water at 20C, 1bar is mixed with a stream of ethylene glycol (M=62.07 g/mol) to form a refrigerant mixture that is 50% glycol by mass. The water molar flow rate is 4.2 kmol/min. The density of ethylene glycol is 1.115 times that of water...

Given the following system (d(t)=0), I'm supposed to calculate the steady state error for unit step and unit ramp inputs respectively. Basically, the open-loop transfer function of the system is \frac { 3s+0.5 }{ s({ s }^{ 2 }+3s+8) } The closed-loop system is \frac { 3s+0.5 }{ { s }^{ 3...

A straight, uniform circular pipe of internal diameter of 88.43 mm and external diameter of 118.38 mm carries hot water at 63.67 deg cel. The pipe has a thermal conductivity of 247 Wm^-1 K^-1. how to calculate the steady-state rate of heat transfer per unit length, in W m^-1, when the outside...

I know that in an AC circuit at the steady state a capacitor behaves like a short and inductor behaves like an open. Since the inductor is open wouldn't that just mean the answer is 0?

Hey all. I sure hope somebody can assist with this! I am a hobby beer brewer and am writing my own heat control algorithms. Part of the process involves heating water to a desired temperature setpoint. I'm using an electric water heater element (5500W) inside the water vessel (~5-10 gal)...

I am trying to understand steady state tracking error. I was looking over one of the example problems in my textbook and this is what it said: G(s) = (-1)/(100(s^2-10.791)) D(s) = K(s+5)/(s+10) Td(s) = 1/s as it states above I don't understand how they got the value 3300... I got 2156 when...

Homework Statement Determine the equilibrium temperature distribution for a one-dimensional rod composed of two different materials in perfect thermal contact at x=1. For 0<x<1, there is one material (cp=1, K0=1) with a constant source (Q=1), whereas for the other 1<x<2 there are no sources...

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...

Homework Statement This is problem 13.2.2 in Mathematical Methods in Physical Sciences by Mary Boa. Find the steady state temperature distribution using the Laplace Equation on a semi-infinite plate extending in the y direction with the following boundary conditions: On the lines y =...

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...

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...

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.

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...

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...

Homework Statement Hey guys, I am doing a steady state 2d heat conduction problem which is a 1mx1m cavity with three different wall temperatures on the 4 different walls. I am using the principle of superposition to work this out. What I want to do is plot a heat map on matlab. I...

Homework Statement A hole current of 10^(-5) A/cm2 is injected into the side (x=0) of a long N-silicon. Assuming the holes flow only by diffusion and that at very large values of x, the distribution of excess holes decays to zero, Determine a)The steady-state excess hole density at x=0...

Hi In almost every book on photonics I've seen, the following expression for the steady state gain is derived 1 + flux/fluxsaturation = gsmall signal/g, where I by flux mean intracavity flux and g is the gain. When talking about lasers, then in the very same books (e.g. Saleh/Teich) the...

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...

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]...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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])...

Hello, I have a 1-D steady state (dc/dt=0) differential equation in the atmosphere. It looks like follows, K*C'' + (K'+K/H)*C' + (1/H*K'- (K/H^2)*H'- (L+Si))C + S = 0 where, C = concentration of the contaminant in the atmosphere at different heights z K = vertical diffusion...

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...

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...

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...

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...

Homework Statement Consider a rectangular metal plate 20 cm wide along y-axis and infinitely long in x as shown in the Figure below. The two long sides and the far end are held at 0ºC and the short side along y-axis has the temperature distribution T (y) = y, that is at a point y in cm...

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...

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

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...

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?

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...

Homework Statement Steam enters a well insulated nozzle at... Pressure1 =300lbf/in^2 Temp1 =600 degrees F Velocity1 =100 ft/s The steam exits the nozzle at... Pressure2 =40lbf/in^2 Temp2 =? Velocity2 =1800ft/s For steady-state operation, and neglecting potential energy effects...

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...

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...

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...

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...

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...

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...

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...

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...