×
INTELLIGENT WORK FORUMS
FOR ENGINEERING PROFESSIONALS

Are you an
Engineering professional?
Join Eng-Tips Forums!
• Talk With Other Members
• Be Notified Of Responses
• Keyword Search
Favorite Forums
• Automated Signatures
• Best Of All, It's Free!

*Eng-Tips's functionality depends on members receiving e-mail. By joining you are opting in to receive e-mail.

Posting Guidelines

Promoting, selling, recruiting, coursework and thesis posting is forbidden.

Finned-Tube Heat Exchanger Design

Finned-Tube Heat Exchanger Design

(OP)
Hi,

I'm a graduate Mechanical Engineer and currently working on design of finned-tube heat exchanger. (Liquid cooling exhaust gases from diesel engine.)

I found some pre-planning calculations that my previous co-worker did. After reading about heat exchange, I re-arranged and defined some more variables. Since I didn't really learn much about heat exchange at the curses I had on university, I want to ask for explanation of some of the equations. Additionally, it would be great if anyone can confirm that equations used are in fact correct.

Input values are marked with orange color.

Constants for calculation

Density of diesel fuel: ρD = 820 kg/m3

Atmospheric pressure: patm = 1atm = 101,3 kPa

Air Gas Constant: Rair=287,058 J/(kg*K)

Fin Tube Data (Constants from manufacturer, thus not an input)

Outside Surface Area of bare pipe: Ao = 0,3475 m2/m
Surface Area of one fin, both sides: Apo = 0,0701 m2/m
Pipe exterior surface not covered by fins: Afo = 0,2774 m2/m

Pipe Dimensions
PipeOD = 26,7mm
PipeID = 21,4mm

Engine Data

Temperature Engine Data: TE_Data = 25°C
Engine Speed: neng = 2100 rev/min
Engine Power: Peng = 243 kW
Specific Fuel Consumption: MSC = 0,220 kg/kW*hr
Combustion Volume Flow: VCom_air=21,11679 m3/min
Exhaust Volume Flow: VExh = 51,8 m3/min
Exhaust Temperature: TExh = 430°C

Mass Calculation

Mass Fuel Consumption: MDiesel = Peng*MSC
Volume Fuel Consumption: VDiesel = Mdiesel / ρD
Combustion air mass flow: MCom_air = (patm*VCom_air)/(Rair*TE_Data)
Total Mass Flow Engine in: Min = Mdiesel + MCom_air
Exhaust Mass Flow: MExh = (patm*VExh)/(Rair*TExh)
Ratio inlet mass/ outlet mass: Ratioin_out = Min/MExh

Design Limits

Ambient Design Temperature: Tamb = 40°C
Temperature Exhaust Gas Cooler Outlet: TE_out = 130°C

Temperature Exhaust Corrected for Ambient Design: TE_in = TExh+(Tamb-TE_Data)
Mean Temperature Differance Exhaust: TE_mean = (TE_in + TE_out)/2

Exhaust Constants

Specific Heat Exhaust @ Mean Temperature Exhaust:
CpE_mean = ((2,74357*10^-13)*(TE_mean^4)-(1,06956*10^-9)*(TE_mean^3)+(1,44395*10^-6)*(TE_mean^2)-(5,86591*10^-4)*(TE_mean)+1,07896)*10^3

Dynamic Viscosity Exhaust @ Mean Temperature Exhaust:
μE_Mean = ((-1,052338*10^-7)*(TE_mean^2)+(4,832851*10^-4)*(TE_mean)+5,087291*10^-2)*10^-4

Thermal Conducitity Exhaust:

k = (2,46*10^-14)*(TE_mean^4)-(5,04*10^-11)*(TE_mean^3)+(1,15*10^-8)*(TE_mean^2)+(7,96*10^-5)*(TE_mean)+2,49*10^-3

Faul Factor: FaulFactor = 0,01*[(hr*ft2*R°)/BTU]
C = 0,005*[(hr*ft2*R°)/BTU]

Heat Rejection from Exhaust

∆Temperature Exhaust: ∆TE = TE_in - TE_out
Heat Rejection From Exhaust: QE = CpE_mean * MExh * ∆TE

Coolant Calculation

Coolant Flow Rate: Vcoolant = 250 L/min
Coolant Temperature Inlet: TC_in = 65°C
Water/Glycol Mixture (% Glycol): Mix = 40%

Density of Coolant Fluid: ρcoolant = (1,1*Mix+971,8)
Specific Heat of Coolant Fuild: Cpcoolant = (MF_coolant-0,0128*Mix)*10^3
Mass Flow Coolant: MF_coolant = Vcoolant * ρcoolant
∆Temperature Coolant Fluid: ∆Tcoolant = QE/(Cpcoolant*MF_coolant)
Coolant Temperature Outlet: TC_out = TC_in + QE/(Cpcoolant*MF_coolant)

Fin Tube Calculation

Number of Tubes First Row: Firstrow = 8
Number of Tubes Second Row: Secondrow = Firstrow-1
Length of Fin Tube: Lfin_tube = 220mm
Number of fins per meter: nf = 118 fins
Fin Height: hf = 9,5mm
Fin Thickness: tf = 1,4 mm

Cross Section Area Calculation

Wfin = (nf*hf*2*tf)/m
Tube footprint area: Atube_fp = Firstrow*(PipeOD+Wfin)*Lfin_tube
Free flow Area: AFF = Aduct - Atube_fp

Temperature Fin Surface Calculation

Average Temperature Inside: Ti = (TC_in+TC_out)/2
Mean Temperature Differance Exhaust: TE_mean = (TE_in + TE_out)/2
Average Temperature Fin: TS = Ti+0,3*(TE_mean-Ti)

Reynold's Number Calculation

Mass Flow unit Area: Gn = MExh/AFF
Renynold's Number: Ren = (Gn*PipeOD)/μE_Mean

Heat Transfer Calculation

Convection Coefficient, hc: 0,2*CpE_Mean*Gn*(Ren^-0,35)*((TE_mean/Ts)^0,25)*((k/(CpE_mean*G77))^μE_Mean)

Convection Coefficient, ha = 1/(hc^(-1)+FaulFactor)

Fin Efficiency, E = 0,986-0,0068*[(hr*ft2*R°)/BTU]*ha
Final outside convection heat transfer coefficient (metric), hf = (ha*(E*Afo+Apo))/AO
Total design heat transfer coefficient(metric), u = 1/(hf^(-1)+C)

Log Mean Temperature Difference, ∆TLMTD = ([(T_(E_in )-T_(c_out ) )-(T_(E_out )-T_(C_in ) )])/(ln⁡[((T_(E_in )-T_(C_out ) ))/(〖(T〗_(E_out )-T_(C_in )))])

Area Calculation

Total Area Required, Atot = QE/∆TLMTD*u
Total Length of Fin Tube, LFT = Atot/AO
Length of 1 Array, Larray = (Firstrow+Secondrow)*Lfin_tube
Number of Arrays, narrays = LFT/Larray

Efficient fin tubes, according to design = E*(8*Secondrow+6*Firstrow)
Above equation depends on the design.

Pressure Drop Fin Tube Array

Number of rows, Nr = round(narrays)*2
Density at bulk temperature, ρb = patm/(Rair*TE_Mean)
Density of Inlet Exhuast, ρ1 = patm/(Rair*TE_in)
Density of Outlet Exhuast, ρ2 = patm/(Rair*TE_out)

Calculation factor, 1: f1 = 0,083+9,44*Ren^(-0,45)

Calculation factor, 2: f2 = [(1+(A_FF/Aduct )^2)/(4∗Nr )]∗ρb∗[(1/ρ2 )-(1/ρ1 )]

Pressure drop over fin tube: ∆Pfin_tube = (2*(f1+f2)*Gn^2*Nr)/ρb

Questions

1. Calculating fault factor, FaulFactor = 0,01*[(hr*ft2*R°)/BTU], we also define C, which is half in value of FaulFactor. What is it?
2. In the equation for Density of Coolant Fluid, ρcoolant = (1,1*Mix+971,8). What is the value 1,1?.
I assume that 971,8 is the density of water at 80deg Celsius. Is the value constant or should be determined as variable of temperature?

3. In the equation for Specific heat of Coolant Fluid: Cpcoolant = (MF_coolant-0,0128*Mix)*10^3, which originally was (4,4-0,0128*Mix)*10^3, I changed 4,4 with variable MF_coolant. Is that correct? Where does 0,0128 come from? I couldn't navigate this equation online. Could anyone guide me to properly understand it?

4. In the equation for cross sectional area calculation, Aduct = Firstrow*47mm*Lfin_tube
What could 47mm be? I would like to change it with a variable as well.

5. Heat transfer calculation.
I couldn't find any equation that is similar to the one used for convection coefficient, hc = 0,2 * CpE_Mean * Gn * Ren^(-0,35) * (TE_Mean/TS)^0,25 *(k/(CpE_Mean*μE_Mean)^0,67
Calculating fin efficiency, E = 0,986-0,0068*[(hr*ft2*R°)/BTU]*ha, are 0,986 and 0,0068 constants or variables?
6. Pressure drop calculation.
Calculation factors 1 and 2. I assume these are friction factors?
Are values 0.083, 9.44 and -0.45 constants? f1 = 0,083+9,44*Ren^(-0,45)
7. The value of Reynold's number is 13000+. Does this mean that flow is turbulent? If it is, shouldn't calculations check for turbulent flow and use different formulas depending on the state of flow?

Thank You so much for all the inputs!

RE: Finned-Tube Heat Exchanger Design

I read you equation almost 5 times. and I cant find any mistakes. I think yes. this is right equation. if I am wrong. then any other person tell me is this right equation or wrong.?

RE: Finned-Tube Heat Exchanger Design

(OP)
Hi Jacob!

Thank You for the reply. Do You have the answer to any of 7 questions stated above?

Red Flag This Post

Please let us know here why this post is inappropriate. Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework.

Red Flag Submitted

Thank you for helping keep Eng-Tips Forums free from inappropriate posts.
The Eng-Tips staff will check this out and take appropriate action.

Resources

Low-Volume Rapid Injection Molding With 3D Printed Molds
Learn methods and guidelines for using stereolithography (SLA) 3D printed molds in the injection molding process to lower costs and lead time. Discover how this hybrid manufacturing process enables on-demand mold fabrication to quickly produce small batches of thermoplastic parts. Download Now
Examine how the principles of DfAM upend many of the long-standing rules around manufacturability - allowing engineers and designers to place a partâ€™s function at the center of their design considerations. Download Now
Industry Perspective: Education and Metal 3D Printing
Metal 3D printing has rapidly emerged as a key technology in modern design and manufacturing, so itâ€™s critical educational institutions include it in their curricula to avoid leaving students at a disadvantage as they enter the workforce. Download Now

Close Box

Join Eng-Tips® Today!

Join your peers on the Internet's largest technical engineering professional community.
It's easy to join and it's free.

Here's Why Members Love Eng-Tips Forums:

• Talk To Other Members
• Notification Of Responses To Questions
• Favorite Forums One Click Access
• Keyword Search Of All Posts, And More...

Register now while it's still free!