Recent content by lahanadar

That's true, as long as the pipe has a constant diameter, no problem, I was investigating a way of manipulating velocity and pressure for steady, incompressible, and inviscid flow setting.

Thanks for the discussion. I think I wasn't clear enough about my question. I wrote a constant diameter pipe in paritcular to free the discussion from conservation of mass. Flow in the pipe is steady, incompressible, and inviscid. So, yes, pretty idealized thought experiment here. With a...

How to increase airflow in a constant diameter pipe? (i.e. total pressure) Adding a variable speed fan at one end?

It is understanding fundamental concepts from physics point of view. For example we can consider a cylinder-piston system with an infinite length linear cylinder and a limited length piston. When we move the piston towards one direction, then it is possible do change velocity of the flow. From...

For a steady, non-viscous and incompressible flow, one can apply both Bernoulli's principle (no potentials) as $$p+\frac{\rho v^2}{2} = p_t$$ where ##p##, ##\rho,##, ##v##, and ##p_t## are static pressure, density, flow velocity, and total pressure, respectively, and continuitiy principle as...

Thank you for all help.

@donpacino and @Charles Link thanks for the replies. BTW there is a typo in the question, the LHS would be RHS, sorry if it caused any misunderstanding. @donpacino you said there is a zero input until n=-4, I thought the first and only non-zero input is at n=0 for the input signal (LHS) and due...

Thank you for the replay. From the delay point of view, can we interpret it like: at time n=0 an event occurs at the input and no event occurs at the output. At n=1 through 4 again no output event occurs. Then at time n=5 an event occurs due to a "past" event in the input. Namely due to an event...

Hi, I want to understand the meaning of unit impulse response when time flows. An example is given below: In the example the left signal depicts a δ[n] function value of which is 1 only at n=0. The LHS signal is response of the system to the unit impulse. I want to understand how to...

I have a simple complex exponential signal of the form x(t)=ejωt. To find period of the signal I tested if x(t)=x(t+nT) for all n: ejωt=ejω(t+nT) ⇒ ejωnT=1=ej2πk where n and k are integers. Then I find a general period expression as T=2πk/ωn Period T means it is the least time a signal...

For rolling a die experiment, possible outcomes are 1 to 6 which forms the sample space. As an example, 7 is not an outcome for this experiment and so not in the sample space. Events for this 6-sided die should be choosen from the power set 26. In this power set, empty set (impossible event) is...

Homework Statement In probability theory, i) The events A and B are equal with probability 1 iff P(A)=P(B)=P(AB). ii) The events A and B are equal in probability if only we know P(A)=P(B) iii) From (i), if an event N equals the impossible event with probability 1, then P(N)=0. Additionally...

Homework Statement First things first, this is not a HW but a coursework question. I try to understand a concept. Assume we have a one-dimensional dynamic system with: x'=f(x)=rx-x^3 Homework Equations Fixed points are simply calculated by setting f(x)=0. The Attempt at a Solution If I...

Not really, I should find it by computation. I think one way could be representing the over all server pdf by linear combination of individual servers' pdfs, while first has an exponential pdf and second unit step function. Do you think this works?

Hi, does anyone know how to model probability density function, b(x), of a system that has two parallel servers: -The first is selected by the customer with probability p, it has an exponential rate of \mu. -The second server is selected by the customer with probability 1-p, it has a...