Recent content by Micko

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    Interesting plot of an implicit equation with square root of signum functions

    Hello, recently, I have found so called Batman graph and equation, which basically plots Batman sign. I have even found Python code that plots this implicit equation. Code can be found here: . And the equation is given here: [url]http://i.imgur.com/CNy9J.jpg If you look closelx...
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    Toricelli's principle and fluid flow

    Hello to all, I've been reading an article about modeling in which there is Toricelli's principle stated: rate of fluid flow through a hole in a tank is proportional to square root of its height. That is easy to understand and to derive this using Bernoulli formula. I have derived this to a...
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    Chosing appropriate letters (labels)

    Hello, Usually , power is labeled as P, energy as E and pressure as p. I wonder what are the alternatives? I want to use p as instantaneous power p(t) = u(t)*i(t). But yet I also want to use appropriate letter for denoting pressure. What would you recommend? I know that alternative letter to...
  4. M

    Water & Steam Tables: Understanding Specific Density

    Hello and Happy New Year to all, I have found one formula which uses terms I hope you'll help me understand. It is given in the attachment, and this is l rhoW1 specific density [kg/m3] (corresponds to table value Pa = 1 bar, liquid phase) rhoD1 specific density [kg/m3] (corresponds to table...
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    Determining pressure in the pot.

    Thanks, but want to be sure about one thing, and that is about point where pressure will start to increase. I think that pressure will start rising only after water starts boiling. Am I right there? Is it OK to look at equation of ideal gas, because water vapor can be approximated by ideal gas...
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    First Law of Thermodynamics Question

    First law of thermodynamics is basically an energy conservation law. It just states that heat that is added to the system is partially converted to system's internal energy and to perform work. That's all. ΔQ is heat added to the system, ΔU is change of internal energy (sum of all potential and...
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    Determining pressure in the pot.

    Homework Statement I'm trying to figure out if and how pressure in the closed pot, half full of water is going to change if pot is placed on the cooker and continuously heated. Homework Equations p*V=R*T for ideal gas The Attempt at a Solution I think the following will occur...
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    Definition of Fluid: What is Shear Stress?

    Hello, I have found the following definition in wikipedia: A fluid is defined as a substance that continually deforms (flows) under an applied shear stress. All liquids and all gases are fluids. However, it's pretty hard for me to understand this definition. Shear stress represents...
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    Calculating temperature change

    OK, thanks
  10. M

    Calculating temperature change

    Hello to all, I'm reading one article about boiler. I have found one interesting fact about air preheater used in industrial boiler. It goes something like this "Approximately 1% of fuel is saved for each 40 F rise in combustion air temperature. Now, since I'm in Europe, I want to know how...
  11. M

    Solving Advanced Math Problem | Checking Equations | College Knowledge Refreshed

    Thank you, I was sure I'm on the right track. However I got integrals which are not so complicated but solution is rather complicated (arcsin and similar). I wondew if problem is easier with cilindrical coordinates...
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    Solving Advanced Math Problem | Checking Equations | College Knowledge Refreshed

    Hello to all, I'm solving one interesting problem that basically tailor to the problem in attachment. I'm pretty much sure I'm on the right track, but my knowledge of math became little rusty since colledge, so I need to ask fo confirmation. Please have a look and tell me if I wrote these...
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    Writing correct physical equation for mixing process

    In the attachment you can see how process looks like. I hope my temperature equation is good: dT/dt = (F1*T1+F2*T2-F3*T-A*T*dLevel/dt)/(A*level) If we write differential equation for level: A*dLevel/dt = F1+F2-F3 now temperature equation becomes even simpler: dT/dt = (F1*(T1-T) + F2*(T2-T))...
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    Writing correct physical equation for mixing process

    I've been doing some research and think I got it right, but need confirmation. Mass must be conserved, so dm1/dt+dm2/dt-dm3/dt = mass accumulation in the tank. Now from the heat point of view, there is a heat going into tank through flows F1 and F2, there is heat coming out of the tank through...
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    Writing correct physical equation for mixing process

    Hello to all, I want to analyze and make model of the water mixing process as shown in file in attacment. Basically, there are two input variables: input hot water flow and cold water flow. There is constant flow FL3. I need to write equation that describe how level and tank's temperature is...
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