Recent content by upender singh

  1. upender singh

    Mean number of oscilatory quanta?

    Hi Perok, Sorry for posting it at wrong place. Do you mean that the my initial state is the ground state of the old Hamiltonian. Now since the Hamiltonian has changed, I need to express it(ground state from old Hamiltonian) as a combination of the eigenstates of new Hamiltonian?
  2. upender singh

    Mean number of oscilatory quanta?

    A quantum mechanical oscillator with the Hamiltonian H1=p^2/2m +(m(w1)^2 x^2)/2 is initially prepared in its ground state (zero number of oscillatory quanta). Then the Hamiltonian changes abruptly (almost instantly): H1→H2=p^2/2m +(m(w2)^2 x^2)/2 What is the mean number of oscillatory quanta...
  3. upender singh

    Counter flow diffusion flame simulation using Fluent

    Hi, Thank you once again. I will test my case with different mesh refinements and post it in the thread if I find something fruitful. It would be very kind of you if you could suggest with any such appropriate text which would contain the detailed measurements for my case. Regards
  4. upender singh

    Counter flow diffusion flame simulation using Fluent

    Hi, Thank you very much. That exactly was the problem. I used the values suggested by you. K=0.0001, e=1, T(flame)=1450 K K=0.0001,e=2, T(flame)=1650 K K=0.0001, e=5, T(flame)=1780 K K=0.0001, e=10, T(flame)=1847 K K=0.0001, e=15, T(flame)=1893. K There were no significant changes further...
  5. upender singh

    Counter flow diffusion flame simulation using Fluent

    Hi Bigfooted, Thank you for your continuous help. Yes, my pdf table contains flamelets for different mixture fraction variances. Below is an image of the PDF table. I hope it would help. Scalar dissipation varies from 0-26 and the scaled variance varies from 0-0.25 .Following is a curve for the...
  6. upender singh

    Counter flow diffusion flame simulation using Fluent

    The PDF plot is a 2D plot (with constant Variance=0) on a 3D surface(with constant scalar dissipation=0).Maximum of Mean Temperature(K) is 2.240994e+03 and occurs at Mean Mixture Fraction = 5.683755e-02. Below are the images from simulation results as functions of x. Should I activate the...
  7. upender singh

    Counter flow diffusion flame simulation using Fluent

    These are the images you asked for. I suppose adiabatic is a condition where we do not have heat exchange between system and surroundings.The mesh has two inlets on left and right, an outlet at the top and axis a the bottom. There are no walls which eventually means I have no place to define...
  8. upender singh

    Counter flow diffusion flame simulation using Fluent

    Hi Bigfooted, Thanks for the reply. By look up tables, if you mean the thermodynamic table, I am using the one from the standard fluent database. My Chemkin mechanism is a 30 species one with CH4 and O2 as the boundary species. After generating the flamelets, I plot the PDF tables and I get the...
  9. upender singh

    Counter flow diffusion flame simulation using Fluent

    Hi, I am trying to model a counter flow diffusion flame using ansys fluent with fuel/oxidiser as methane/air. The problem is that the flame temperature(800 K) is much lower than what it should be(>1600 K). I am using Non premixed combustion module with steady diffusion flamelet and adiabatic...
  10. upender singh

    Ground state energy eigenvalue of particle in 1D potential

    sorry, used the wrong identity the final equation is, -λ^2*ħ^2/2m(1-2sech^2(λx))=E-V(x) it is a multiple choice question. since sech^2(λx) is 0 at infinity, i assume term 1 on lhs represents energy and term 2 represents potential.
  11. upender singh

    Ground state energy eigenvalue of particle in 1D potential

    solving the S-equation yields λ^2*ħ^2/2m(sech^2(λx)-tanh^2(λx))=E-V(x) or -λ^2ħ^2/2m= E-V(x) :headbang:
  12. upender singh

    Ground state energy eigenvalue of particle in 1D potential

    Homework Statement a particle of mass m moves in 1D potential V(x),which vanishes at infinity. Ground state eigenfunction is ψ(x) = A sech(λx), A and λ are constants. find the ground state energy eigenvalue of this system. ans: -ħ^2*λ^2/2m Homework Equations <H> =E, H = Hamiltonian. p=...
  13. upender singh

    Stiffness constant of a spring

    thanks for the help lightgrav, please reply if i am missing something let Ω = oscillation frequency of spring mass system alone let ω= oscillation frequency of the simple pendulum, then mv^2/r =ml(Asinωt)^2 = mlA^2(1-cos2ωt)/2 , A being some constant which says that driving force has a...
  14. upender singh

    Stiffness constant of a spring

    1:question A weight W is suspended from a rigid support by a hard spring with stiffness constant k . The spring is enclosed in a hard plastic sleeve, which prevents horizontal motion, but allows vertical oscillations. A simple pendulum of length l with a bob of mass m (mg<<W) is suspended from...
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