Recent content by neromax
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Can Variable Speed Heat Pumps Provide Different Temperatures at Different Loads?
It is a Bitzer semi-hermetic 18.4 kW, controlled by a frequency controller. I thought that one could vary the pressure on the condenser side, thus achieving a different temperature. By varying the speed of the compressor one would be able to decrease or increase the flow of the refrigerant. But...- neromax
- Post #3
- Forum: Mechanical Engineering
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Can Variable Speed Heat Pumps Provide Different Temperatures at Different Loads?
Hi! The problem is in connection with variable speed heat pumps used for heating purposes, where the source/reservoir is ground/rock. The ground has temperatures around 5-7 celsius. Is it correct that these systems only can deliver one temperature at one load? E.g.: at 30 % of full power, it...- neromax
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- Heat Heat pump Pump Speed Variable
- Replies: 2
- Forum: Mechanical Engineering
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How to prove solution to Fick's second law by substitution
Solved it! I finally understood how it worked :wink: D\frac{\partial}{\partial x} C(x,t) = -BD \frac{\partial}{\partial x}\int_0^{\frac{x}{2\sqrt{Dt}}} e^{-y^2}dy = -BD e^{-\left(\frac{x}{2\sqrt{Dt}}\right)^2} \frac{\partial}{\partial x} \left(\frac{x}{2\sqrt{Dt}}\right) = -BD...- neromax
- Post #5
- Forum: Calculus and Beyond Homework Help
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How to prove solution to Fick's second law by substitution
Is this the correct change of limits and function of the integral? \frac{\partial}{\partial x} C(x,t) = -B \frac{\partial}{\partial x}\int_0^{\frac{x}{2\sqrt{Dt}}} e^{-y^2}dy = -B \frac{\partial}{\partial x} \int_0^x e^{-y^2\left(4Dt \right)^{-1}}dy = -B e^{-x^2\left(4Dt \right)^{-1}}\\...- neromax
- Post #4
- Forum: Calculus and Beyond Homework Help
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How to prove solution to Fick's second law by substitution
@HallsofIvy - Thanks for a reply. The problem bugging me though, is that i do not have x , but \frac{x}{2\sqrt{Dt}}, such that: \frac{2}{\sqrt{\pi}} \frac{\partial}{\partial x} \int_0^{\frac{x}{2\sqrt{Dt}}} e^{-y^2}dy- neromax
- Post #3
- Forum: Calculus and Beyond Homework Help
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How to prove solution to Fick's second law by substitution
Homework Statement I am to prove that a solution to the differential equation Fick's second law is valid by substitution. Homework Equations Fick's second law: \frac{\partial C}{\partial t} = \frac{\partial}{\partial x} \left( D \frac{C}{\partial x} \right) Solution to Fick's second...- neromax
- Thread
- Law Second law Substitution
- Replies: 4
- Forum: Calculus and Beyond Homework Help