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This thesis presents an experimental as well as a semi-theoretical
investigation on nucleate pool boiling of saturated liquids from heating tubes
coated with polytetrafluoroethylene (PTFE) of various thicknesses at
atmospheric and subatmospheric pressures. It includes the effect of heat flux,
pressure and coating thickness on boiling heat transfer coefficient of various
liquids and provides range of above parameters for enhanced boiling condition
on PTFE coated heating tubes. A semi-theoretical analysis has led to the
development of an equation for the prediction of heat flux during saturated
boiling of liquids on a porous surface.
Experiments have been carried out on nucleate pool boiling of distilled
water, benzene and toluene from an electrically heated horizontal heating tube
surface. The heating tube has been made of AISI 304 stainless steel. Its
dimensions include 18 mm I.D., 32 mm O.D. and 150 mm effective length. The
heating tube surface has been coated with PTFE of 850-314 and 851-214
grade green enamel following the standard procedure of Du Pont Inc. by the
use of spraying technique. Calibrated PTFE coated copper-constantan
thermocouples of 30 gauge have measured surface and liquid temperature at
the bottom, the two sides and the top position of heating tube. A digital
multimeter has been used to measure e.m.f. of thermocouples. Experiments
have been conducted by the standard operating procedure which included
stabilization of tube, removal of dissolved air from liquid pool and attainment of
steady state condition. Heat flux have ranged from 15,824 to 42,531 W/m2 and
pressure from 20.01 to 98.96 kN/m2. Five thicknesses of PTFE viz., 14, 27, 30,
45 and 50 urn have been coated over the tube surface. Adequate precautions
have been taken to get reproducible and reliable data by ensuring radial flow of
heat from heating tube surface to liquid pool, complete expulsion of dissolved
air from liquid pool and negligible heat loss to surrounding. Maximum
uncertainty associated with average heat transfer coefficient has been found to
be ± 3.08%.
Abstract
Analysis of data of saturated boiling of liquids on a plain heating tube
surface at atmospheric and subatmospheric pressures has indicated heating
tube surface temperature, for a given value of heat flux, to increase from
bottom to side to top position. Consequently, local value of heat transfer
coefficient has also been found to vary around the circumference of tube. Local
heat transfer coefficient, at a given circumferential position on heating tube
surface, has been related with heat flux and pressure by equation:
h^ =CM,q° 7p°32 where Cv is a constant whose value depends upon
circumferential position on the heating tube, its surface characteristics and
boiling liquid. Average heat transfer coefficient has been found to vary with heat
flux according to the boiling power law, h <x q°7. This corroborates the findings
of earlier investigators [12, 19, 20, 28, 42, 48, 56, 72, 103, 104] too. Following
functional relationship among average heat transfer coefficient, heat flux and
pressure has been developed by regression analysis within a maximum error of
± 7%: h =Cq° 7p°32, where constant C represents surface-liquid combination
factor involved in experimentation. To overcome the difficulty in the estimation
of constant C owing to its improbable nature, above expression has been
modified to the following dimensionless form: (hVh-i*) = (p/p^0,32. It has been
tested against experimental data of [3, 4, 28, 101, 103] for saturated boiling of
various liquids on heating surfaces of differing characteristics at various
pressures and found to match excellently. Above correlation can be used for
the generalisation of experimental data of boiling heat transfer irrespective of
heating surface and boiling liquid involved.
Experimental data for saturated boiling of distilled water, benzene and
toluene on heating tubes coated with PTFE of various thicknesses at
atmospheric and subatmospheric pressures have been generated. Heat
transfer coefficient for the boiling of a liquid, at a given pressure, has been
found to vary with heat flux by the relationship, hocqn where the value of
exponent, n depends upon coating thickness and boiling liquid. The value of
exponent, n has always been found to be less than 0.7 which holds true usually
for the boiling of liquids on an uncoated surface. Further, it has also been found
to decrease with increase in coating thickness. Following functional relationship
Abstract
among heat transfer coefficient, heat flux and pressure has been developed for
the boiling of saturated liquids on a tube coated with PTFE of a given thickness:
h = C'qupv where C is a constant whose value depends upon heating tube
surface characteristics and boiling liquids. The values of exponents, u and v
have been found to be same for boiling of benzene and toluene on PTFE
coated tube surface. Expressions for constant C and exponents u and v have
been developed in terms of coating thickness and accordingly a generalised
correlation of heat transfer coefficient for saturated boiling of a liquid on PTFE
coated tube surfaces has been developed.
Comparison of boiling characteristics on a coated tube with those on an
uncoated tube surface has shown significant enhancement in the values of
heat transfer coefficient for the boiling of distilled water. However,
enhancement has been found to depend upon heat flux, pressure and coating
thickness. In fact, the range of heat flux for enhanced boiling has been found to
shrink with the increase of coating thickness at a given pressure. Lowering
pressure has adversely affected the boiling process and thereby shortened the
range of heat flux for enhanced boiling of distilled water. In case of boiling
of benzene and toluene on PTFE coated tubes at atmospheric and
subatmospheric pressures, no enhancement has been observed. Thus, coating
of PTFE on a plain tube surface seems to favour enhancement for boiling of
distilled water but not for benzene and toluene.
Performance of a PTFE coated tube surface has been evaluated in
terms of effectiveness factor, C, which is defined as the ratio of heat transfer
coefficient on a coated tube with that on an uncoated one for the same values
of heat flux and pressure. Expression for C, for boiling of a liquid on a heating
tube coated with a given thickness of PTFE has been developed in terms of
heat flux and pressure. It is in the following form: £,= kqaqp where the values of
constant k and exponents a and p depend upon boiling liquid. Criteria for
enhanced boiling of liquids on PTFE coated tube surfaces have been
established by considering the condition of C, > 1 in above equation. This is as
follows:q"ap~p <k. This criterion can be used to determine the range of heat
flux for enhanced boiling of liquids on a PTFE coated tube surface at a given
in
Abstract
pressure. Alternatively, it can also be used to obtain the range of pressure for
enhanced boiling of liquids to occur at a given value of heat flux.
Considering boiling of saturated liquids on a porous surface to be
analogous to that on a plain surface, heat flux has been taken equal to the
summation of heat flux due to transient heat conduction from heating surface to
liquid, qT; latent heat transport for the growth of vapour bubbles, qx and exterior
heat transport from the region unaffected by vapour bubble activity, qex.. The
contribution of qT on a porous surface has been found to be negligibly smaller
than that due to other heat transfer mechanisms. Contribution due to latent
heat transport mechanism has been evaluated by considering countercurrent
movement of liquid and vapour in interconnecting channels formed on porous
surface and necessary conditions for boiling to occur. The analysis has led to
the fact that total heat flux can be governed by latent heat transport mechanism
only if boiling occurs on a highly porous surface where the region unaffected by
bubble activity is small. Nucleation site density of a porous surface has been
computed by using experimental data of Tehvir et al. [97] on the basis of
principle of similarity. Following is the resultant expression for the prediction of
total heat flux during saturated boiling of liquids on a highly porous surface:
„„ i2 „0.18j 0.38 .0.14 q =1.82X10"97 Pf4 ,AT£ d° ;a
(Pi-PvWvv+v.) 8011
Above equation has been tested against the experimental data of Tehvir et al.
[97] for boiling of R-113 on different porous surfaces (aluminium and copper
rod coated by plasma spray), of Tehvir [96] for boiling of R-113 on porous
aluminium surface, of Afgan et al. [2] for boiling of R-113, distilled water and
ethanol on stainless steel tube coated with chromium-nickel and titanium
particles, of Kajikawa et al. [58] for boiling of R-11 on copper porous surfaces,
of Nishikawa et al. [79] for boiling of R-11 on copper porous surfaces and of
present investigation for boiling of distilled water, benzene and toluene on
PTFE coated surfaces and found to match satisfactorily within a maximum error
of ± 30%. Since, this equation is free from parameters whose measurement is
improbable, it can be employed to determine heat flux for the boiling of liquids
irrespective of heating surface involved in the study. |
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