Unit Operations. Chemical Engineering SeriesFull description
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DryingFull description
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alat drying
ass Transfer 2 M ass
CPB 20103
CPB20103MA MASSTRANSFER 2 TUTORI AL2 DRYI NG OPERATI ONS 1.A . Ai rof20oC andIbarwi t hr el at i vehumi di t yof80% i sheat edt o50oC.The heat ed ai rflowsal onga flatt r ayfil l ed wi t h comp mpl et el ywet t ed mat er i al . 2 The heat t r ansf e r coe ffic i ent i s 35 W/m . K and t he l at ent heat of 6 v apor i z at i oni s2. 45x10 J/kg .Ca l c ul a t et hec o ns t a ntdr y i ngr a t e . 4 [ R =3. 43x10 kg/m2. s] 2.Awetsol i dwi t hamo moi st ur econt entof0. 50kgH2O/kgdrysol i doccupi es 2 0. 1 m on a flatt r ay .A l abor at ory experi mentshows ws t hatt he cr i t i cal mo i s t ur ec o nt e nti s0. 2kgH2O/kgdrysol i dandt heconst antdryi ngr at e 2 i s 0. 36 g/m . s.Cal cul at et he t i me r equi r ed t or educe t he moi st ur e c o nt e nto ft hewe ts o l i do nt het r a yc o nt a i ni ng2kgofdr ys o l i df r o m 0. 40 t o0. 20kgH2O/kgdrys ol i d. [ 3. 09hr ] 3.A . A por ous s ol i d i s dr i e d i n a bat c h dry e r under cons t ant dr yi ng condi t i ons.5hour sarer equi r edt oreducet hemo moi st ur econt entf r om 35 t o10per cent .Thecri t i calmoi st ur econt entwasf oundt obe20per cent andt heequi l i bri um moi st ur e4per cent .Al lmoi st ur econt ent sareont he dr ybas i s .As s umi ngt hatt her a t eofdr y i ngdur i ngt hef al l i ng r at epe r i o d i spr o po r t i o nalt ot hef r e e mo i s t ur ec o nt e nt ,c al c ul at et het i mer e q ui r e d t odryasamp mpl eoft hesame mesol i df r om 35 t o5 per ce ntundert hesame me dr y i ngc o ndi t i o ns . [ t=9. 67hr] 4.A .A gr anul ar sol i d i s t o be dr i e d i n a t unnel dr y er f r om 4 50% t o 10% moi s t ur e underi dent i calcondi t i ons i n 3. 0 x 10 s.The cr i t i calandequi l i bri um moi st ur econt ent sar e12% and3%,r espect i vel y . Cal cul at et het i mere qui r ed t o dryt hesol i df r om 50% moi st ur et o 5% mo i s t ur ei fa l lmo i s t ur ec o nt e nt squo t e dar eo nadr yba s i s . [ t=7. 37hr] 5.A gr anul ari nsol ubl esol i d mat er i alwetwi t h wat eri sbei ngdri ed i nt he const antr at eper i odi napan0. 61m x0. 61m andt hedept hofmat er i al i s25. 4mm.Thesi desandbot t om ar ei nsul at ed.Ai rflowsper pendi cul ar t ot he t op sur f ace at a v el oc i t y of3. 05 m/s and has a dry bul b o o t emp mper at ur e of60C and we t bul bt emper at ur e of29. 4C.The pan
FG/T2/July2011
M ass Transfer 2
CPB 20103
cont ai ns11. 34kgofdrysol i dhavi ngaf r eemoi st ur econt entof0. 35kg H2O/kg drysol i d and t hemat er i ali st o bedr i ed i nt heconst antr at e per i od t o 0. 22 kgH2O/kg drysol i d.Cal cul at et hedry i ngr at eand t he t i mei nhour snee ded. [ R =1. 642kg/h. m 2,t=2. 41h]
6.A sl ab wi t h awetwei ghtof5 kg or i gi nal l ycont ai ns50% moi st ur e( we t basi s) .Thesl abi s600by900by75mm t hi c k.Theequi l i br i um moi s t ur e o cont enti s5% oft het ot alwei ghtwhen i n cont actwi t h ai rof20C and 20% humi di t y .Thedryi ngr at ei sgi veni n Tabl e1 f orcont actwi t h ai rof t heabo v equal i t yatade fini t ev e l o c i t y .Dr y i ngi sf r o mo nef ac e .De t e r mi ne t het i mer e q ui r e dt odr yt hes l a bt o10% mo i s t ur ec o nt e nt( we tba s i s ) . Tabl e1 Wet–sl abwei ght ,kg 9. 1 7. 2 5. 3 4. 2 3. 3 2. 9 2. 7
Dr yi ngr at e,kg/m 2. h 4. 9 4. 9 4. 4 3. 9 3. 4 2. 0 1. 0
7.A wetfil t ercakei n apan 1f tx1 f tsquar eand1i ncht hi cki sdr i edon o t het op sur f acewi t h ai ratwetbul bt emper at ur eof80Fand adrybul b o of120F flo wi ngpar a l l e lt ot hes ur f ac eatav e l o c i t yo f2. 5f t /s .Thedr y 3 densi t yoft hecakei s150l bm/f t andt hec r i t i c alf r e emo i s t ur ec o nt e nti s 0. 09l bH2O/l bdr ys o l i d.Ho wl o ngwi l li tt ak et odr yt hema t e r i a lf r o ma f r e emo i s t ur ec o nt e nto f0. 20l bH2O/l bdr ys o l dt ot hec r i t i c a lmo i s t ur e c o nt e nt ? [ t=17. 03h] 8.Sl absoffil t ercakewi t habonedrydensi t yof1600kg/m3 ar et obedr i e d f r om an i ni t i alf r eemoi st ur e cont entof90% ( drybasi s)t o a finalf r ee moi st ur econt entof5% ( drybasi s)bat chwi sei nt r ayst hatar e1 m l ong by0. 5m wi dewi t hadept hof3cm.Dr yi ngwi l lt akepl aceonl yf r om t he o o t op sur f ace.Thedryi ngai rcondi t i onsar e1 at m,60C and a 39C we t bul bt emper at ur e.Ai rflowsper pendi cul art ot het opsur f aceatv el oci t yof 3. 5m/s.Exper i ment sundert hesedryi ngcondi t i onsshow acr i t i calf r ee moi st ur econt entof45% ( drybasi s)wi t hassumi ngt hatt hedryi ngrat ei s al i ne a rwi t hf r e emo i s t ur ec o nt e ntt hr o ug ho r i g i n.De t e r mi ne :
FG/T2/July2011
M ass Transfer 2
CPB 20103
a) b)
Thedr yi ngt i mef ort hec ons t antr at eper i odi nhour s. Thedr yi ngt i mef ort hef al l i ngr at eper i odi nhour s.
9.A we tso l i di st obedr i edi n apan 0. 61 m by0. 61 m and t hedept h of mat er i ali s25. 4 mm underconst antr at eper i od.Thesi desand bot t om ar ei ns ul at e d.Ai rflo wspar a l l e lt ot het o ps ur f ac eatav e l o ci t yo f3. 05 o m/sandhasadrybul bt emper at ur eof60 C andwe tbul bt emper at ur e o of29. 4 C.Thepan cont ai ns11. 34 kg ofdrysol i d havi nga moi st ur e c o nt e nto f40% a ndt hema t e r i a li st obedr i e di nt hec o ns t antr a t epe r i o d t ot hecr i t i calmoi st ur econt entof20%.Theequi l i br i um moi st ur e was f oundt obe4%.Al lmoi st ur econt ent sareont hedrybasi s. a) Cal cul at et hedr yi ngr at eandt het i mer equi r edi nhour s. 2 [ R =1. 599kg/h. m ,t=3. 82hr ] b)
Cal cul at et he dr yi ng r at e and t he t i me needed i n hour si ft he dept hofmat er i ali sr educedt o12. 7mm. [ R =1. 599kg/h. m 2,t=1. 91hr ]
10. A we ts o l i di sdr i e dwi t ha i ra t6 0oC andahumi di t yof0. 010kgH2O/kg dr ya i r .Thea i rflo wspa r a l l e lt ot hefla t ,we ts ur f a c eo ft hes o l i da ta v el oci t yof5m/s.Undert hesecondi t i onst heheatt r ansf ercoeffic i enti s 0 . 8 ρ v ) ,whe gi v en by h = 14. 3( r e ρ i st hede ns i t yo ft hemi s ta i ri n kg mo i s ta i rp e runi tv o l umemo i s ta i r .Thes ur f a c ea r e aa v a i l a bl ef o rhe a t 2 exchangewi t hai ri s0. 25m andt hel a t e nthe a to fv a po r i z a t i o ni s2. 45x 6 10 J/kg .Ca l c ul a t et het o t a la mo unto fwa t e re v a po r a t i ngpe runi tt i me . 4 [ R =1. 71x10 kg/s]