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Problem Set for Interpolation with MATLAB

Determine the saturation temperature, specific liquid enthalpy, specific enthalpy of evaporation and specific enthalpy of dry steam at a pressure of 2.04 MPa.

An extract from steam tables
Pressure [MN/m 2 ] Saturation Temperature [C] h f [kJ/kg] h fg [kJ/kg] h g [kJ/kg]
2.1 214.9 920.0 1878.2 2798.2
2.0 212.4 908.6 1888.6 2797.2

MATLAB solution is as follows; >>pressure=[2.1 2.0];>>sat_temp=[214.9 212.4];>>h_f=[920 908.6];>>h_fg=[1878.2 1888.6];>>h_g=[2798.2 2797.2];>>sat_temp_new=interp1(pressure,sat_temp,2.04) sat_temp_new =213.4000>>h_f_new=interp1(pressure,h_f,2.04) h_f_new =913.1600>>h_fg_new=interp1(pressure,h_fg,2.04) h_fg_new =1.8844e+003>>h_g_new=interp1(pressure,h_g,2.04) h_g_new =2.7976e+003

The following table gives data for the specific heat as it changes with temperature for a perfect gas. (Data available for download ). Thermodynamics and Heat Power by Kurt C. Rolle, Pearson Prentice Hall. © 2005, (p.19)

Change of specific heat with temperature
Temperature [F] Specific Heat [BTU/lbmF]
25 0.118
50 0.120
75 0.123
100 0.125
125 0.128
150 0.131
Using interp1 function calculate the specific heat for 30 F, 70 F and 145 F.

MATLAB solution is as follows: >>temperature=[25;50;75;100;125;150] temperature =25 5075 100125 150>>specific_heat=[.118;.120;.123;.125;.128;.131] specific_heat =0.1180 0.12000.1230 0.12500.1280 0.1310>>specific_heatAt30=interp1(temperature,specific_heat,30) specific_heatAt30 =0.1184>>specific_heatAt70=interp1(temperature,specific_heat,70) specific_heatAt70 =0.1224>>specific_heatAt145=interp1(temperature,specific_heat,145) specific_heatAt145 =0.1304

For the problem above , create a more detailed table in which temperature varies between 25 and 150 with 5 F increments and corresponding specific heat values.

MATLAB solution is as follows: >>new_temperature=25:5:150;>>new_specific_heat=interp1(temperature,specific_heat,new_temperature);>>[new_temperature',new_specific_heat'] ans =25.0000 0.1180 30.0000 0.118435.0000 0.1188 40.0000 0.119245.0000 0.1196 50.0000 0.120055.0000 0.1206 60.0000 0.121265.0000 0.1218 70.0000 0.122475.0000 0.1230 80.0000 0.123485.0000 0.1238 90.0000 0.124295.0000 0.1246 100.0000 0.1250105.0000 0.1256 110.0000 0.1262115.0000 0.1268 120.0000 0.1274125.0000 0.1280 130.0000 0.1286135.0000 0.1292 140.0000 0.1298145.0000 0.1304 150.0000 0.1310

During a 12-hour shift a fuel tank has varying levels due to consumption and transfer pump automatically cutting in and out to maintain a safe fuel level. The following table of fuel tank level versus time (Data available for download ) is missing readings for 5 and 9 AM. Using linear interpolation, estimate the fuel level at those times.

Fuel tank level versus time
Time [hours, AM] Tank level [m]
1:00 1.5
2:00 1.7
3:00 2.3
4:00 2.9
5:00 ?
6:00 2.6
7:00 2.5
8:00 2.3
9:00 ?
10:00 2.0
11:00 1.8
12:00 1.3

>>time=[1 2 3 4 6 7 8 10 11 12];>>tank_level=[1.5 1.7 2.3 2.9 2.6 2.5 2.3 2.0 1.8 1.3];>>tank_level_at_5=interp1(time,tank_level,5) tank_level_at_5 =2.7500>>tank_level_at_9=interp1(time,tank_level,9) tank_level_at_9 =2.1500

Questions & Answers

who was the first nanotechnologist
Lizzy Reply
technologist's thinker father is Richard Feynman but the literature first user scientist Nario Tagunichi.
Norio Taniguchi
I need help
anyone have book of Abdel Salam Hamdy Makhlouf book in pdf Fundamentals of Nanoparticles: Classifications, Synthesis
Naeem Reply
what happen with The nano material on The deep space.?
pedro Reply
It could change the whole space science.
the characteristics of nano materials can be studied by solving which equation?
sibaram Reply
plz answer fast
synthesis of nano materials by chemical reaction taking place in aqueous solvents under high temperature and pressure is call?
hydrothermal synthesis
how can chip be made from sand
Eke Reply
is this allso about nanoscale material
are nano particles real
Missy Reply
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
where is the latest information on a no technology how can I find it
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
Application of nanotechnology in medicine
has a lot of application modern world
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
yes that's correct
I think
Nasa has use it in the 60's, copper as water purification in the moon travel.
nanocopper obvius
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
STM - Scanning Tunneling Microscope.
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Source:  OpenStax, A brief introduction to engineering computation with matlab. OpenStax CNX. Nov 17, 2015 Download for free at http://legacy.cnx.org/content/col11371/1.11
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