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Minimum gas speed in heat exchangers to avoid particulate fouling

Minimum gas speed in heat exchangers to avoid particulate fouling

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M.S. Abd-Elhady et al. / International Journal of Heat and Mass Transfer 47 (2004) 3943–3955 3947Fig. 3. Foul<strong>in</strong>g layer at the end of 9 h of operation for different flow <strong>speed</strong>s. The foulant is spherical glass particles of diameter 21 ± 16lm. (a) V ¼ 2:7 m/s; (b) V ¼ 3:8 m/s; (c) V ¼ 5 m/s.Table 1Comparison between the foul<strong>in</strong>g behaviors for glass particles under different operat<strong>in</strong>g conditionsAverage airflow <strong>speed</strong> between the HE V ¼ 2:7 m/s V ¼ 3:8 m/s V ¼ 5 m/stubesF<strong>in</strong>al thickness (mm) 1 0.75 0.3Circumferential and radial growth Cont<strong>in</strong>ues Starts very fast and thendecreases abruptlyStarts very fast and thendecreases abruptlyconcentration is 0.15 g/N m 3 of flow<strong>in</strong>g air. Fig. 3 showsthe foul<strong>in</strong>g layer at the end of operation for the abovementionedcases. Table 1 shows a comparison betweenthe three different cases. It is shown that as the <strong>speed</strong> ofthe flow <strong>in</strong>creases, the foul<strong>in</strong>g layer surface area andthickness are reduced. Increas<strong>in</strong>g the average air <strong>speed</strong>between the <strong>heat</strong> exchanger (HE) tubes from 2.7 <strong>to</strong> 5 m/sreduces the f<strong>in</strong>al foul<strong>in</strong>g layer thickness from 1 <strong>to</strong> 0.3mm after 9 h of operation. When the average flow <strong>speed</strong>between the HE tubes is 2.7 m/s, it is found that thecircumferential and radial growth of the foul<strong>in</strong>g layercont<strong>in</strong>ued from the beg<strong>in</strong>n<strong>in</strong>g till the end of the experiment.Increas<strong>in</strong>g the average flow <strong>speed</strong> between the HEtubes <strong>to</strong> 3.8 and 5 m/s showed a different foul<strong>in</strong>gbehavior. The foul<strong>in</strong>g rate was very high at the beg<strong>in</strong>n<strong>in</strong>g,especially for the first 3 h. Then the foul<strong>in</strong>g ratestarted <strong>to</strong> decrease abruptly for the next 6 h of operation,till hardly any radial or circumferential growth canbe seen.Figs. 4 and 5 show the growth of the foul<strong>in</strong>g layer forglass particles over the <strong>heat</strong> exchanger tube as a functionof time. The average air <strong>speed</strong> between the tubes is 2.7m/s for Fig. 4 and 3.8 m/s for Fig. 5. Fig. 4a shows thatat the beg<strong>in</strong>n<strong>in</strong>g of the foul<strong>in</strong>g process, some particlesstart <strong>to</strong> deposit at <strong>in</strong>termittent and distant positions.These po<strong>in</strong>ts of deposition start <strong>to</strong> grow radially, Fig.4b–e, till the whole surface of the <strong>heat</strong> exchanger tube iscovered completely with particles, Fig. 4f. The surficialgrowth of the foul<strong>in</strong>g layer is emphasized by the encircledareas <strong>in</strong> Figs. 4a–f. The surficial growth of thefoul<strong>in</strong>g layer can be expla<strong>in</strong>ed by the fact that f<strong>in</strong>eparticles are most likely <strong>to</strong> stick first <strong>to</strong> the HE tubesbecause of their higher stick<strong>in</strong>g velocity compared <strong>to</strong>coarse particles [7]. Then larger particles, which deposi<strong>to</strong>n the <strong>heat</strong> exchanger tube and stand alone <strong>in</strong> theshear<strong>in</strong>g flow, start <strong>to</strong> roll over the <strong>heat</strong> exchanger tubeif the shear<strong>in</strong>g flow <strong>speed</strong> is above a certa<strong>in</strong> limit. Theparticle roll<strong>in</strong>g motion is s<strong>to</strong>pped when it is blocked by astand<strong>in</strong>g heap of particles, which leads <strong>to</strong> the surficialgrowth of the fouled areas till they cover the unfouledsurfaces. The flow <strong>speed</strong> required <strong>to</strong> roll a particlerest<strong>in</strong>g on a flat surface, and, the stick<strong>in</strong>g velocity of aparticle, will respectively be discussed <strong>in</strong> detail <strong>in</strong> thefollow<strong>in</strong>g subsequent sections.Fig. 5 shows that at the beg<strong>in</strong>n<strong>in</strong>g of the foul<strong>in</strong>gexperiment, Fig. 5b, the glass particles <strong>in</strong> the flow started<strong>to</strong> deposit on the rear end of the HE tube and cont<strong>in</strong>ued<strong>to</strong> the circumference, Fig. 5c–e. The rear end of the <strong>heat</strong>exchanger, Fig. 5f, is subjected <strong>to</strong> the lowest shear<strong>in</strong>gforces due <strong>to</strong> separation of flow from the tube surface,Achenbach [9]. The flow field for the exam<strong>in</strong>ed HEshown <strong>in</strong> Fig. 1 is solved us<strong>in</strong>g the f<strong>in</strong>ite volume methodapplied by the commercial CFD-package CFX version4.2. The low Reynolds number k–e model is used <strong>to</strong> solvethe flow field around the HE tubes. For all but theadvection terms, use is made of a second-order centraldifferenc<strong>in</strong>g scheme. In the equations for the velocitycomponents, use is made of the third order QUICK<strong>in</strong>terpolation scheme for the advection terms. For the kand e equations the first order HYDRID-scheme is appliedwhich is more stable than the QUICK scheme andensures the k and e values <strong>to</strong> rema<strong>in</strong> positive <strong>in</strong> theconverged solution. In the computations use is made ofthe SIMPLEC pressure-correction scheme <strong>in</strong> which thepressure field is <strong>in</strong>directly specified via the cont<strong>in</strong>uityequation. For the u and the v velocity use is made of theS<strong>to</strong>ne’s method, for the turbulence quantities a l<strong>in</strong>erelaxationmethod is used and an algebraic multi-gridmethod is applied for the pressure equation. The flowfield is solved for a turbulent flow, at Re ¼ 2 10 5 , which

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