1. It is noted that formula.crazy is in a hurry, results had better be supported by calculations, only length of coil is requested (not detailed engineering). It could have been more convenient, if he could have started the effort earlier. At any case jokes on fee have nothing to do with the topic.
2. Sizing the heating coil as above is not so easy, see
http://www.cheresources.com/invision/topic/13699-how-to-get-value-of-heat-transfer-coefficient/. This can be used as
example for your calculation, although the new case is not identical.
3. Steam side heat transfer coefficient (~8500 W/m2/oC) is not the controlling factor in this heat transfer, this of the (vegetable?) oil side is. The latter has to be calculated (better option, any help on this welcomed); or else we have to adopt something out of Perry's data, as in the example. Fouling factor has also to be considered. Tank is assumed uninsulated, top closed, located in a room, without agitation (nothing mentioned about it).
4. Start with a heat balance. If the oil has to be heated from 20 to (55-) 65 oC, supplied heat equals to
α) oil heating 1000*2*(65-20)=90000 kJ/h = 25 kW (assumed Cp=2 kJ/kg/oC, Perry, spec heats of misc materials, oils)
β) heat losses to ambient (18 oC). Assuming overall U=15 W/m2/oC (*), 15*3.8*(65-18)=2679 W = 3 kW
so total heat supplied Q= 28 kW = 101000 kJ/h, corresponding to 47.4 kg/h of condensing steam (latent heat=2133 kJ/kg, 4 bara).
(*) see
http://www.cheresources.com/invision/topic/14965-vessel-heat-loss5. For the heating coil to be sized: Q=28 kW, temper difference Δt= 143-65=78 oC. Assuming U=23 Btu/ft2/h/oF = 130 W/m2/oC (including scales), heating coil surface required = 2.76 m2. Assuming 1.5" coil, its total length would be 2.76/0.1516=18.2 m ~ 20 m. Result differs to prediction of post No 8, but if ingoing oil temperature were assumed 65 oC, length of 1.5" coil would be only 2 m . It depends on the assumed data, to be correctly adopted by formula.crazy.
6. Of course above results are imprecise, intending only to show a way. Correct data has to be adopted. Comments are very welcomed, general or on the assumptions.
Present post hopefully helps this urgent case.
Edited by kkala, 20 November 2012 - 06:16 PM.