Greetings while I am new to WSM I have a few years physics experience. It seems to me that a the classic 'when do I add milk/cream? is a perfect opportunity for illustrating the modelling capabilities of WSM. However, I am yet to see this application.. Too simple perhaps? I have plenty of examples of mathematical modelling. this conference article covers all the possibilities with 5 models, each more complex to allow for fat globules on surface insulation radiation, colour of surface of cup, material of cup, volume of cup, surface area etc.. I am hoping experienced WSM guru will not find this too trivial and apply their talents to develop an all tim classic WSM model.. regards Gary high school physics/IT teacher melbourne Australia the need for this? we have just licensed every high school teacher (20k)and their students (200k) on whatever OS they have for the entire wolfram suite Wolfram Alpha PRO Mathematica Wolfram SystemModeler Wolfram Cloud... Attachments:**

Patrik, your detailed reply is very helpful. In high school the purpose of the exercise is exploration within limits. These examples provide alternatives which can usefully be explored and verified by direct experiment. limits of theory and limits of experiment (accuracy and errors) are all important lessons which can be reinforced with open ended exploration. Comparison of different coffee pouring strategies can easily be measured and now modelled. Different cup materials and configurations can now also be accounted for. surface area, covered/uncovered, material glass, ceramic, metal, colour, double walled, vacuum insulated.. I appreciate your comment about 'over fitting the model' however in physics this is a constant temptation because we can.. Knowing when to stop is an important skill. regards Gary Melbourne (ambient air temp = 32?C today..)

Nicely done Marco.

Hi Everyone, I know that I am not actually answering the question, which is already answered, I believe. Here is something that I do in my lectures regarding that same problem. I don't use WSM, but just standard Mathematica and a rather simple approach based on Newton's law for cooling. Please see: Coffee & milk problem with Arduino and Newton's law of cooling Attachments:

Model the Coffee cooling problem with WSM?