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TubeCalc v3.2  

Calculation of pressure drop in Solar Thermal Circuits

Introduction

The program TubeCalc allows for the calculation of pressure drop in closed solar thermal collector circuits which can then serve as a basis on which the dimensioning of circulation pumps can occur. The solar thermal circuit is defined by four separate user input sections; standard tube, corrugated tube, a selection from thirteen standard piping components (return elbows, tube size expansion/reduction and one-way valves to name a few) and the simple definition of a solar absorber. Each section has a range of standard commerical products available to chose from as well as the ability to enter the part specifications manually. Furthermore, the definition of heat exchanger fluid properties of density and viscosity for water, ethylene-glycol and propylene-glykol are both temperature and concentration dependent. Based on all of the above, the systems friction and fluid flow characteristics are ascertained and displayed with an overview from each circuit section.

Corrugated tubing

An additional comment concerning the definition of corrugated tube (german: Wellrohr) is required. The three parameters pitch, depth and width are illustrated in the figure below. Allowed depth is between 0 and 10mm. The pitch can account for spiraled and non-spriraled corrugations between 3 and 30mm. The width, which would normally be half the pitch (sine wave), can be modified where non-symmetrical corrugations are considered.

Fundamentals

The newtonian flow conditions inside a tube with circular section depends on the inner diameter of the tube (di), the volume flow of the fluid (dot(v)) and its kinematic viscosity (nu). Thus we obtain the average velocity in the tube (bar(w)) and Reynolds number as such:

,

.

Using Reynolds we then find the friction coefficient (lambda) in a laminar regime with

,

and for a turbulent regime using the implicit Colebrook equation;

.

The pressure drop of a system involving friction coefficients (summed over components) is then obtained with the help of dynamic pressure:

Components

Pressure coefficients for the following components can be added to the system according to the following parameters:

#Component IDEnglish nameGerman nameFigure (parameters in blue)Description
1
A
Return elbow (180° in-plane)Doppelkrümmer return_elbow.png
2
B
Double 90° elbow (90° out-of-plane)Raumkrümmer double_90_elbow.png
3
C
Double 90° step (in-plane)Etagenkrümmer double_90_step.png
4
D
Elbow (variable angle)Kreiskrümmer elbow.pngOne can make use of this component to model a coil heat exchanger (e.g. 10 coiled heat exchanger has a rotation angle of 3600°)
5
E
Pipe strain-absorber (loop-form)Lyraglatrohrbogen strain_lyra.png
6
F
Pipe strain-absorber (u-form)U-Bogen u_bend.png
7
G
Throttle valveDrosselklappe throttle.png
8
H
One-way valveRückschlagventil oneway_valve.png
9
I
Ball and socket valveKugelhahn valve.png
10
J
Pipe size expansionRohrerweiterung pipe_expansion.png
11
K
Pipe size reductionRohrverengung pipe_reduction.png
12
L
Flow separation & recombination (45°) Rohrverzweigung & wiedervereinigung (45°) flow_sepration45.png
13
M
Flow separation & recombination (90°) Rohrverzweigung & wiedervereinigung (90°) flow_separation90.png