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Modelling
Modelling
Mathematical-Modelling
NCERT Maths Class XI
Pengenalan tentang membuat model rambut dan efek dengan menggunakan software blenderDeskripsi lengkap
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Descripción: AFV Modeller is the leading visual bi-monthly magazine for armoured vehicle modellers. AFV Modeller showcases the work of the very best modellers from around the world, shows techniques on how to a...
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Heat Tracing system
Fundamentals of heat exchangers, types of heat exchangers and certain formulas Any suggestions would be accepted.
Title KNPC (Kuwait) 1st – 5th February February,, 2008
DYNSIM OTS Training Course 8.- DYN DYNSIM SIM Mod Modell elling ing:: Heat Exchangers
8.- DYNSIM Modelling: Heat Exchangers •
Heat Exchangers
•
Utility Exchangers
•
Multi Exchangers
2
Heat Exchanger
Heat Exchanger: Definition •
Two flow devices to model SINGLE pass shell and tube heat exchange
•
Uses log mean temperature difference (LMTD)
•
Fouling resistance
•
Model film coefficients with
4
Heat Exchanger Configuration •
•
•
Two flow devices to model SINGLE pass shell and tube heat exchange Uses log mean temperature difference (LMTD) Specify –
–
–
Area and either Film coefficients or overall U Tube/Shell fluid volumes (Vol) and Metal Mass (MM). Tube/Shell flow conductance (J)
5
Heat Exchanger: Boundary Calculations •
Four combined fluid/metal nodes provide calculation stability during crossover transients SHELL
Bypass
Inlet stream
Inlet node
Exit stream
Exit node
Ambient heat loss
Ambient heat loss
Heat transfer (LMTD & Natural Convection)
Ambient heat loss
Exit stream
Ambient heat loss
Exit node
Inlet node Bypass
Inlet stream
TUBE
•
•
•
Calculate natural convection duty and heat loss to ambient Inlet and Outlet boundary temperatures can be set to tune heat transfer coefficients –
Tune heat exchanger by setting inlet node boundaries
–
Tune downstream equipment by setting outlet node boundaries
The boundary conditions should be removed once model tuning is complete 6
Utility Exchanger
Utility Exchanger: Definition •
•
•
•
•
Models heat exchangers with only one process side (one inlet and one outlet stream) Simplified thermo system or a heat stream connection to vessel on utility side Can model the submerged tubes in a drum or separator using a Heat Stream Can model fans and louvers on an air cooler. To do that, better to change the heat exchanger image Process side of a heat exchanger is identical to a Heat Exchanger (two sided) with same data requirements
8
Utility Exchanger Configuration •
Must specify –
–
•
Type
Air
–
Water
–
Constant Cp fluid
–
Constant temperature source
–
Heat stream
Should specify –
Process Side: •
–
Area, Film Coefficients or Overall U
•
Fluid Volume & Metal mass
•
Flow conductance
•
Reference flow rate
Utility Side: •
Inlet temp
•
Utility mass & flow rate, Metal mass
•
Heat transfer coefficient 9
Multi Exchanger
Multi Exchanger: Definition •
•
•
•
Flexible heat exchanger model that can simulate: –
Pipe with heat loss
–
Shell and tube exchanger with multiple zones
–
NGL plate/fin core exchanger
–
LNG spiral-wound Main Cryogenic Heat Exchanger (MCHE)
–
Ethylene cold box
Uses multiple flow passes, multiple metal nodes, each with multiple elements Any wall may exchange heat with any fluid or the surroundings Fluid / Metal Heat transfer calculation and Metal temperature calculation is made for each element 11
Multi Exchanger Configuration (I) •
•
•
•
Configure –
Number of flow paths
–
Number of metal walls
–
Number of elements
Specify Wall Geometry –
Total metal mass
–
Total heat transfer area
–
Heat loss coefficient
Specify Flow Path Geometry –
Flow conductance
–
Reverse flow factor
–
Total fluid volume
Multi Exchanger distributes total values evenly over each element.
12
Multi Exchanger Configuration (II) •
•
•
Specify Tube Pass Heat Transfer –
Reference Heat transfer coefficient
–
Reference mass flow
–
Natural convection heat transfer coefficient
Specify the area fraction of each wall area to each flow path –
0 = no contact
–
1 = Full contact
–
0
Flow Direction –
Ascending = In first element and out last
–
Descending = In last element and out first
–
Custom = Define custom flow order
13
Multi Exchanger: U-Tube •
Why ever use a custom flow order? Consider a U-tube shell and tube exchanger with a single shell side pass. –