Recent content by HumanistEngineer

Thank you Chestermiller for your time. You indicated c as c = h/(rho cp) (4/D) . Why is there this 4/D? I use the thermal resistance, R [K/W], in the last term c, which means that h=1/R. Here how R was derived: The initial condition for the pipe is that the water temperature is initially at...

Here is the result (for different mesh numbers). The maximum (steady-state) temperature should be at around 70 °C.

Hi Again, I try to solve the transient temperature propagation through a buried insulated pipe by means of solving the convection-diffusion equation with a heat sink that is the heat loss from the water mass to the ground. Below you can see the details of my calculation steps in my numerical...

Thank you Mech_Engineer. But I don't think that such references are good as answer to my question. I want to find the temperature of (i.e.) insulation so I need this, as termed by the reference, the mutual thermal resistance between the layers (for example between water and insulation (as well...

Ref: Palsson, Halldor | Analysis of Numerical Methods for Simulating Temperature Dynamics in District Heating Pipes - please check pg. 62 at LINK (CLICK!) INTRO: In this reference, the mutual thermal resistances between layers as water-insulation, ground-surrounding, and insulation-ground are...

I agree on this but I need to develop in one way the hydraulic model since I need to test a unique new end-user substation so need to evaluate its effect on the DH network. I don't think that we have enough fund for such a commercial software in my project. Any books, articles etc. that you...

Sorry for my poor description. I need to model the network, as you indicated, in an ordinary time domain simulation (the demand/flow rate will change and I will see the pressure distribution through the network - to evaluate if the pressure difference across each end-user station is enough or...

In this task of mine, I need to develop a tool/software to carry out (dynamic) hydraulic analysis of a central heating network, formed with supply and return pipes so forming a multi-parallel loops in a closed circuit, as can be seen in the below picture. Can anyone suggest me some references...

I am not so experienced in numerical methods. But I could develop a model for the solution of convection diffusion equation at one dimension, in order to derive temperature profile for a single inlet/outlet storage tank through time. Here is the working Matlab code given...

I am working on modelling of a heat storage tank. More specifically, I need to find out the transient temperature variation through the tank height. My question is about the plume entrainment considering the case that hot water is injected from the bottom part of a heat storage tank. This...

That's right. I shall update the solution for the diffusion term. Thanks a lot, Chestermiller.

For the graphs given, I used the Crank-Nicolson scheme (the graphs given are from that). However, I also mentioned that in other attempts (results not given here) I also tried different schemes (i.e. Forward time central space, Crank-Nicolson with Upwind Treatment (the hybrid scheme with the...

Sorry Chestermiller, my mistake. The dotted curves are from an experiment while solid lines are from the simulation (the Matlab code given). So the aim of the simulation is to obtain the temperature distribution through the tank height at one dimension by solving the convection-diffusion...

I have a working Matlab code solving the 1D convection-diffusion equation to model sensible stratified storage tank by use of Crank-Nicolson scheme (without εeff in the below equation). As indicated by Zurigat et al; there is an additional mixing effect having a hyperbolic decaying form...

Quick solution to integrate this correction factor in my large simulation can be ok with the most close function form i.e. a exp (b x + c) + d. But since I need to publish after some time I need to learn to drive the real expression or something close to that. I am sure that there must be a...