A model is an informative representation of an object, person or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin modulus, a measure.
Representational models can be broadly divided into the concrete (e.g. physical form) and the abstract (e.g. behavioural patterns, especially as expressed in mathematical form). Of particular importance in the modern context, conceptual models are central to philosophy of science, as almost every scientific theory effectively embeds some kind of model of the physical or human sphere.
In commerce, a model might instead reference a specific version or configuration of a product offering, rather than functioning as a representation of something else.
In taxonomic settings (e.g. biology, architecture, art) a model is sometimes a particular instance of a set of related entities (species, built structures, artistic compositions) chosen as a convenient reference point around which to build discourse; such a model is almost always chosen to typify some central tendency of the group, exemplify the group's defining characteristic, or reify the group's historical lineage.
Kinds of models include:
Hi everyone!
I have the following problem. I have a two phase flow in a circular pipe and I want to model it. I need to decide and justify whether the model should be 2D or 3D. For the moment, I can say only one thing: considering z-axis in the length direction (that it is the dominant one) I...
Homework Statement
The height, h, in metres, of the tide in a given location on a given day at t hours after midnight can be modeled using the sinusoidal function h(t)= 5 sin 30 (t-5) + 7
(A) find max and min value for depth of water.
(B) what time is high tide? What time is low tide?
(C) what...
Homework Statement
Find maximum and minimum values for the depth of h of the water
If a periodic function has f(2) = 1 and f(5) = 0 predict what f(8) , f(-10), and f(11) will be.[/B]
Homework EquationsThe Attempt at a Solution
f(8) = (6+2)
= f(2)
= 1
f(-10) = (-6-6+2)
=f(2)
=1
f(11) = (6+5)...
I am taking a physics modeling class and for our projects we need to add in some element to our physics engine that is unique and different. I choose to model the deformation of objects as a result of collisions.
For clarification, When things bounce, I want to know by how much do they...
Homework Statement
8. Amelia’s Marina rents rowboats for $12/hour. A cleaning fee of $20 is charged, when the boat is returned.
a. Identify the independent and dependent variables, including units, for this scenario.b. Write an equation that models this scenario.
c. A nearby marina offers a...
Please help.I want to do transient analysis on welded joint.So for moving heat source I have to select multiple patches along the weld joint.From tutorial I came to know that it can be done by imprint faces while extruding lines,but when I tried it by extrusion in operation it does not show the...
Evening all,
I've recently undertaken a project where my roll is to analyse the suspension of a mountain bike. The suspension unit in question is a Rock Shox Monarch RT3. To give a brief summary:
The shock uses compressed air as the spring, the pressure is adjustable via an air valve.
The shock...
Homework Statement
a. Use algebra and calculus to find the positive fixed point p(c) (in terms of c) and identify its exact interval of stability.
b. Use algebra and calculus to find the exact interval of stability of this fixed point
c. Use algebra to find the point p1(c), p2(c) of the 2-cycle...
Hi , I'm new to CFD. I'm modeling a parking ventilation system in ansys CFX. I'm having some trouble modeling the jet fans . I went as follows. I created a fresh air inlet (Opening BC), an exhuast outlet (outlet BC) and in the middle I distributed jet fans .The jet fans are modeled as sub...
Does anyone know a good program, even a demo for modelling how magnetic fields influence each other?
I'd like to run thru some exercises with actual numbers on wjhat kind of field patterns can be made by arranging magnets of same or different strength in different configurations.
I should...
Hey Guys,
I want to verify the exhuast design of a car park ventilation system on Ansys Fluent.
Basically, I have jet fans distributed throughout the parking displacing air towards a certain point where I will extract it . How would you go about modeling the boundary conditions in this...
Homework Statement
The speed of a falling body might be based on the observation that the velocity of a falling object seems to increase the further it has fallen. Model the hypothesis "The speed of a falling object is proportional to the distance it has fallen" as a differential equation...
Homework Statement
This is a video of the phenomenon. Start at 5:08 in this video and watch the next two crashes. That first one, where the car hits a wall, straight on, is the most helpful. The phenomenon is that when a car going uphill crashes, it has an upward speed/momentum vector...
Homework Statement
Restaurant Reservations for a given week were:
Monday - 34
Tuesday - 27 (minimum value)
Wednesday - 33
Thursday - 47
Friday - 58
Saturday - 61 (maximum value)
Sunday - 42
Homework Equations
I don't think you need these equations to help me solve what I'm stuck on
Amplitude...
Homework Statement
Find the transfer function for the following mechanical system with force input fin and output x2.
Homework EquationsThe Attempt at a Solution
The reason I left the equations blank is because I'm not sure how to appropriately model this scenario. I've seen two different...
Hello all, I have recently started a course at my University called Introduction to Mathematical Modeling. However, the course does not require/recommend a textbook, and I am someone who really depends on having a textbook in order to learn. I have asked the professor to recommend me some...
Homework Statement
Find a differential equation that describes the circuit that includes only vin and vout as variables.
Homework Equations
C(dvin - dvout)/dt = i
vin - vout = L(di/dt)
The Attempt at a Solution
So the answer I got was:
C(d2vout/dt2) + vout = LC(d2vin/dt2)
My question is...
Im stuck on this question, can someone please help me?
u(t) = input power [W].
x(t) = temperature in plate [Celsius]
v = 0, temperature of surroundings [Celsius]
C = 400, heat capacity for plate [J/ Celsius]
g = 2, heat transfer plate / air [W / Celsius]
Question is something like this:
You're...
Homework Statement
So I am trying to model the motion of the Earth around the Sun using ode45. I modeled this using an euler-cromer scheme, but I would like to get familiar with using a solver. I wrote the code for an Euler-cromer and it worked just fine. However, when I try to use the same...
I was reading a paper recently about guiding electric arc discharges with lasers. http://loa.ensta-paristech.fr/ilm/uploads/ILM/134_Forestier_discharge_AIPAdvances_2_012151_2012.pdf
Since electric arcs are plasmas and they seem to be stabilized by lasers, could the same principle be applied to...
Hello, i am Ali doing PhD studies i am working on Activation Analysis of Hybrid reactor but i just stat studying this geometry but i am not able to understand this geometry for MCNPX modeling, so i need some help in modelling this geometry in MCNPX.
please guide me in this regard
Hello I am new to Ansys and currently conducting a study on ''property of lightweight structures'' I have read and watched videos online but nobody has the tutorials...i'm hoping someone here can help me on how to model a multi-storey building using Ansys...I hope this post makes sense. Thanks
Hello,
My interests lie within the field of modelling biomolecular structure, function, and dynamics with computational and theoretical approaches. Is anyone aware of either top MSc or PhD programs offered by specific schools that are in line with this research direction? Thanks so much.
Good evening, PF! I am supposed to model the following system. I will be using the same notation as in BSL.
Fluid A enters the reaction zone at z = 0 at a concentration CA0. A reacts to form B in the first order reaction A → B at a rate of R_A = k_1''' C_A. We assume the whole mixture to be...
Homework Statement
Homework EquationsThe Attempt at a Solution
Part (a)
Starting with the formula
$$ g_{c} = \frac {g_{CL}}{g_{p}(1-g_{CL})} $$
The controller transfer function is determined,
$$ g_{c} = \frac { \frac {1}{\lambda s + 1}}{\frac {k_{p}}{(\tau_{p1}s+1)(\tau_{p2}s+1)}
- \frac...
Like others on the forum it is time to start applying to graduate programs. I am more or less overwhelmed by all the programs offered.
I am interested in radiation as a whole in regards to long wave radiation emitting from the Earth's surface, and modeling that.
I would like to do some sort of...
Hello,
I'm working on modeling a biological reaction with SuperPro. Right now, all I know about the reaction is the conversion. I don't have data on the stoichiometry, and I don't even think the stoichiometry of the reaction is known. Any idea how I might be able to model this kind of reaction...
Hello,
I am trying to understand an equation from the textbook "Theory of neural information processing systems" by Coolen, Sullich and Kuhn.
The book states that "the evolution in time of the postsynpatic potential V(t) can be written as a linear differential equation of the form:
\frac...
Hi,
I am trying to mathematically model the rotation of a rotary flexible beam. There are numerous papers which study this topic but all of them are considering the beam as a fixed-free one. My case is different.
This is the beam I am trying to model. The motor axis is at the square portion...
This question relates to building a computer model of gravity under relativity in a frame by frame type animation where the force on an orbiting object is calculated between each frame and applied to the animation.
Its pretty easy to model normal planet orbits using Newtons inverse square law...
So my university offers two programs focused on particle physics. One is simply masters in nuclear/particle physics, the other is masters in mathematical modelling with focus on particle physics.
I want to go into mathematical modelling and I'm choosing what I will focus on. I'm not really...
I need to model circuit given at (https://drive.google.com/file/d/0B8MN0_dZJLHZRllhV2Y0M0FnaVU/view?usp=sharing) so that we may known output for any state of switches.
Given Information: Vector of State of Switches e.g. [s11 s12 s13 s21 s22 s23 s32]. I need to model a transformation matrix...
Homework Statement
A flexible chain of length \ell hangs from one end at x=0 but oscillates horizontally. Let the x axis point downwards and the u axis point to the right. Assume that the force of gravity at each point of the chain equals to the weight of the part of the chain below the point...
Consider the following diagram of a projectile motion (##\hat{\bf i}## and ##\hat{\bf j}## are the unit vectors of the ##x## and ##y##-axis respectively)
We know that $$F=ma.\tag1$$ This can be rearranged to $$a=\frac Fm.\tag2$$ So there are actually two accelerations, one with magnitude...
Homework Statement
[/B]
Here is the problem:
And this is the system in question:
Homework Equations
G(s) = θ_0(s)/θ_i(s) = output/input (open-loop transfer function)
The Attempt at a Solution
I've been staring at this problem and looking through my textbook for over an hour but...
Homework Statement
[/B]
Homework Equations
Listed under 2.1 in the image above.
This is the only relevant equation that I'm aware of, but I'm almost sure that there is something else I need to know before I can solve the problem.
The Attempt at a Solution
I tried solving for the...
Homework Statement
Finding the complete response (steady-state and transient) is a long and laborious task. My lecturer's notes read (since at our stage of the course, we're mostly interested in the steady-state part of the solution and not so much the transient) :
"The simple method for...
Homework Statement
Below is a table for some experiment data:
m(kg) - v(m/s)
0.1 - 3.16
0.2 - 2.24
0.3 - 1.83
0.4 - 1.58
0.5 - 1.41
0.6 - 1.29
0.7 - 1.20
0.8 - 1.12
As the mathematical model for these data, I put v^2 (m^2/s^2) = 1.00 (kgm^2/S^2)/m(kg).
Another set of experiments finds for the...
A rod is radially mounted on a motor shaft and provided with a flat end plate. By turning movement, the end plate will touch a pointed object, and the angle turned is measured.By the torque of the motor during acceleration and deceleration, a vibration and deflection happens on the rod. The...
I would say there is no way to predict experimental outcomes than mathematics. But "expressing physics" can be rather different. For example, how many times have we asked ourselves, "I see that the mathematics works out this way, but I want a physical explanation." Indeed, I have found that...
Homework Statement
I have a problem with understanding the thermal circuit I attached to this thread. Please help. It's a Thermal circuit of a computer CPU that needs to be simplified to have just 2 lumped capacitances and resitances. How would one go about doing that? along with the equations?
Hi all,
I'm trying to come up with velocity equations for a multi-enzymatic system and came across this velocity equation. Does anyone recognize this equation?
There was no citation or derivation and the variables were not explained. This is my guess:
P, Q, A, B are concentrations of some...
Hi,
I am currently trying to model a water-cooled scroll compressor but do not have enough data to predict output conditions.
At the moment, I can collect inlet and discharge pressure, outlet temperature, water mass flow rate as well as inlet and outlet temperature.
I would like to be able to...
Hi, I'm just curious why we model the ideal inductor as having the leakage inductance as being in series with the ideal core, rather than in parallel to it? Because it would seem to me that the flux goes in two parallel directions, one through the core, and one through the air around the core...
Hi,
I am generating synthetic images from the perspective of a moving vehicle, i.e. a camera mounted on a vehicle driving through a computer generated scene.
Now i want to simulate the motions of the vehicle body that result from road roughness (bumps, patches).
I modeled my road roughness...
Hi
I'm using accelerometer & horizontal gyroscope in order to replace GPS. Now, I'want to model the noise with first order markov process, to use it in kalman filter.
I recorded measurement on all axes and computed auto-correlation.
This picture represents auto-correlation on one of axes...
Ok.
I'm now studying economics and applied math, and I'm currently wanting to know what book or online resource could help me in learning how to model real life situations into functions. Most math and econ textbooks are garbage at this.
I'll be more specific. In my study of Microeconomics...
Hi, I have read the static equivalent model of distribution system with high penetration of PV systems, using ZIP modelling technique. Now I want to create a dynamic equivalent model of distribution grid with high penetration of PV systems. How should I proceed?
Ok, I've built a numerical model to show the cooling of hot magma sills entered into the crust over time. The results show that the volume of the "hot" zone when the emplacement of a constant volume of hot sills is all done will vary as a matter of two things: the overall rate at which the magma...