Showing posts with label heat transfer. Show all posts
Showing posts with label heat transfer. Show all posts

Tuesday, May 3, 2011

Online Heat Transfer Coefficient Calculator





Heat Transfer Coefficients



The inside film coefficient needed for the thermal calculations may be estimated by several different methods. The API RP530, Appendix C provides the following methods,

For liquid flow with Re =>10,000,




hl = 0.023(k/di)Re0.8*Pr0.33(mb/mw)0.14


And for vapor flow with Re =>15,000,




hv = 0.021(k/di)Re0.8*Pr0.4(Tb/Tw)0.5


Where the Reynolds number is,




Re = di*G/mb


And the Prandtl number is,




Pr = Cp*mb/k


Where,


hl = Heat transfer coefficient, liquid phase, Btu/hr-ft2-°F
k = Thermal conductivity, Btu/hr-ft-°F
di = Inside diameter of tube, ft
mb = Absolute viscosity at bulk temperature, lb/ft-hr
mw = Absolute viscosity at wall temperature, lb/ft-hr
hv = Heat transfer coefficient, vapor phase, Btu/hr-ft2-°F
Tb = Bulk temperature of vapor, °R
Tw = Wall Temperature of vapor, °R
G = Mass flow of fluid, lb/hr-ft2
Cp = Heat capacity of fluid at bulk temperature, Btu/lb-°F

For two-phase flow,



htp = hlWl + hvWv


Where,


htp = Heat transfer coefficient, two-phase, Btu/hr-ft2-°F
Wl = Weight fraction of liquid
Wv = Weight fraction of vapor

The following script will allow us to try these formulas out using our browser.



Tube diameter, in: Mass flow, lb/hr-ft2:
Percent vapor, %: Bulk Temp., °F:
Liquid PropertiesVapor Properties
Thermal cond., Btu/hr-ft-°F: Thermal cond., Btu/hr-ft-°F:
Visc. bulk, lb/ft-hr: Visc. bulk, lb/ft-hr:
Spec. Heat, Btu/lb-°F: Spec. Heat, Btu/lb-°F:
Visc. @ wall, lb/ft-hr: Temp. @ wall, °F:







hl Coefficient, Btu/hr-ft2-°F:


hv Coefficient, Btu/hr-ft2-°F:


htp Coefficient, Btu/hr-ft2-°F:


Reynolds number:LiquidVapor



It should be stressed at this time, that there are many ways to calculate the inside heat transfer coefficient, and a lot of care should be taken in the procedure selected for use in heater design. Other methods, such as HTRI, Maxwell, Dittus-Boelzer, or others may be more appropriate for a particular heater design.

Monday, May 2, 2011

Heat Loss Calculations and System Design



Heat Loss Calculations and System Design


Note: Urecon offers a complete computer assisted engineering service providing such information as: heat loss, time to freeze, fluid outlet temperature, minimum flow rates, tracing wattage required, heat gain, etc., all based on the specific requirements of each project. Basic information needed for typical heat trace design includes: project name/location; minimum ambient temperature; above and/or below ground; depth of bury if applicable; core pipe material and diameter; pipe length per circuit; insulation thickness; required maintain temperature; flow direction for sensor positioning; power point location (one or both ends, middle etc.); voltage available.


Contact Urecon for more info and help with custom design/calculations.


It is recommended that a safety factor of 10 to 25% be added to allow for such field conditions as voltage drop, under voltage condition, etc
.
Heat Flow Chart Watts/ft/hr/100°F  T(2)
Dia.(1)Urethane Insulation Thickness
25 mm
(1 in)
40 mm
(1½ in)
50 mm
(2 in)
63 mm (2½ in)75 mm
(3 in)
11.81.41.21.11.0
22.92.21.81.61.4
44.93.62.92.52.2
66.94.93.93.32.9
88.96.34.94.13.6
10n/a7.65.94.94.2
12n/a9.06.95.84.9
14n/a10.47.96.55.6
16n/an/a8.97.46.2
18n/an/a9.98.36.9
20n/an/a10.89.07.6
22n/an/a11.89.98.3
24n/an/a12.710.89.0


Heat flow in watts per lineal foot



The table is based upon the application of the following formula:



Where:

W = Watts/ft/hr (W x 3.414 = Btu/hr)

K = Btu/ft²/hr/1°F/ft = 0.0108 for Urethane

T = temperature differential°F

D = outside diameter of insulation

d = outside diameter of pipe
Diameters for (D/d) taken as 3/1 for 1" pipe +1" insulation and is typical for all other combinations.

For other than 100°F T, divide by 100 and multiply by required T.



Formula


The heat loss for an externally traced pipe may be calculated by the following formula:




Where:

W = Watts per foot of pipe

Tm = maintained temperature°F

Ta = ambient temperature°F

Ln = natural log

Di = outside diameter of insulation (in)

Dp = outside diameter of pipe (in)

Ki = K value of insulation (BTU • in / hr • ft² •°F)

Dj = outside diameter of jacket (in)

Kj = K value of jacket (BTU • in / hr • ft² •°F)

Sf = Safety Factor