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I am working on making a population balance model for gas bubbles is a stirred reactor. I have data in excel about the bubble size and need to make a population model to compare the experiment with theoretical findings.

But I have not much experience in population balance modeling. Is there anyone who has an example of a solved population balance model in maple? This would help me greatly in understanding the subject. I would want to use the Luo and Svendsen model as I found it most matching with the result.

Kind regards, Hasselhof

I am modeling a molecule.  I have six line segments.  I know the coordinates of their ends as functions of time.  Naively, I would think it would go like this:

define some functions (composites of trig functions, rational functions, etc)

define points 1,2, ..., 6.   (in terms of the functions)

define line1, line2, ...., line6

define structure = union of 6 lines

animate(structure) as t goes from t_0, ..., t_1

How exactly do i do this?

The details of the tasks are explained in the maple file attached but the aim is essentially to model the carbon cycle using first order diff eqs. I'm slightly confused as to how to exactly set up the equations for part a) and b). I've set up the required constants for the equations and the initial conditions as follows: 

#### initial conditions

##### coefficients for rate of change

and one of the equations as :


but I've been told that I would have to accommodate the direction of flow of carbon in the rates and also reconsider how many equations I would need.

Currently calculations: equations, regression analysis, differential equations, etc; to mention a few of them; are developed using traditional methods ie even are proposed and solved by hand and on paper. In teaching our scientists and engineers use the chalkboard as a way to reach students and enable them to solve their calculation. To what extent Maple contributes to research on new mathematical models applied science and engineering ?. Maplesoft appears as a proposal to resolve problems with our traditional proposed intelligent algorithms, development process, embedded components, and not only them but also generates type applications for Apple ipad tablets signature. Based on the computer algebra system Maple Maplesoft gives us the package which works exactly like we were on our work. I will show how mathematics is developed from a purely basic to reach modeling differential equations applied to education and engineering. Also visualizare current techniques for developing applications for mobile devices.





Lenin Araujo Castillo

Physics Pure

Computer Science


I am new to maple and coding so please bare the amateur coding.


I am trying to plot the following function:


When tgk < tb then I want it it to point a cross, where tgk and tb are functions that both have x and y values in them.

This is what I have:

My domain is x=-18..18 and range is y=0..12

I want x and y values to be integer values in degrees. And I want all possible combinations to be plotted (e.g (1,1) (1,2) (1.3) etc.) I do not know how to do any of this, but I need it for something I am modeling, and this software was recommended to me.

I am new to Maple and I have never really learned how to code. Any help would be really appreciated!



I need to model the MapleSim ground as a hard ground. For example when the robot swing leg hits the ground, it should not have negative vertical position. Basically, the robot will move on a surface.


1 Introduction

Three tanks are connected with two pipes. Each tank is initially filled to a different level. A valve in each pipe opens, and the liquid levels gradually reach equilibrium. Here, we model the system in MapleSim (including the influence of flow inertia), and also derive and solve the analytical equations in Maple.


I am trying to make a simple model of a combustion. To start i am just calculating the composition of the products for a complete combustion and flame´s adiabatic temperature. The equations used to solve the model are:


nch4 = nco2;
2 * nar = 2 * nco2 + nh2o + 2 * no2;
7.52 * nar = 2 * nn2;
4 * nch4 = 2 * nh2o;
nch4 * hfch4 + nar(hfo2 + 3.76 * hfn2) = nco2(hfco2 + cpco2(Tad - 25)...

How can we design a wind turbine and simulate it?

MapleSim has been delivering unique advantages in physical modeling and system simulation for many years. Today we release the latest iteration: MapleSim 5. Looking back at some of the earlier versions of our software, it is hard to believe that this is the same product; from the user interface to the component libraries to the simulation engine, every part of the system has experienced a striking evolution.

Like its predecessors, MapleSim 5 is based on the Maple mathematical...


I am trying to solve a transient heat transfer problem.

The problem is that I have an insulated pipe that is immersed in cold water.  At time 0, the fluid filling the pipe is at a constant temperature.  The insulation at one end of the pipe is different to the rest of the insulation.  I need to find out the time that it would take any fluid to reach a certain temperature, called the cool down time.

A graphic representation of the...

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