Answers’to’problems,’G.A.’Truskey,’F.’Yuan,’D.F.’Katz...
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Answers to problems, G.A. Truskey, F. Yuan, D.F. Katz, Transport phenomena in biological systems, 2nd edition, Pearson, 2010 Chapter 14. 1.2 For men: 98.5% in arterial and 99.17% in venous; For women 98.3% in arterial and 99.07% in venous 1.3 CO 2 : 2.18 cm 3 per 100 cm 3 .O 2 : 5.28 cm 3 per 100 cm 3 1.5 Order volume, cm 3 surface area, cm 2 cumulative volume, cm 3 cumulative surface area, cm 2 1 0.0158 26.27 0.0158 26.27 2 0.03885 35.32 0.05 61.59 3 0.05738 31.44 0.11 92.99 4 0.09219 30.23 0.20 123.21 5 0.12788 26.64 0.33 149.86 6 0.20487 23.28 0.54 173.14 7 0.20733 15.56 0.74 188.70 8 0.24132 11.03 0.99 199.73 9 0.31010 8.17 1.30 207.89 10 0.23046 3.71 1.53 211.60 11 0.50671 3.99 2.03 215.59 1.7 a: 17.2% (men), 15.8% (women); b: 1.319 l/min; c: 140.027 mM 2.3 2.4 a: (x,y)=(1,1): a = 9 9 ! + 7 ! , (x,y)=(3,1): a = 9 91 ! + 27 ! , ; 288 m 3 /s 2.11 0.028 cm 2.12 2.14 Yield stress is 6% higher in the new product. 2.25 a: !" !!! ! = − ! ! ! ; b: ! = !! !!" ! ; c: = ! 1 − ! ! or = ! 1 − ! ! + ! ! ! ! ! ! ! ; d: ! !"" ! = ! ! ! ! !! ! ! ! or ! !"" ! = ! ! ! ! !! ! ! ! !! ! ! ! ! ! ! ! ! ! e: δ/R μ eff /μ (alt. 1) μ eff /μ (alt. 2) 0.1 3.09 3.43 0.2 1.95 2.45 0.3 1.70 2.46 0.4 1.74 3.00
Transcript of Answers’to’problems,’G.A.’Truskey,’F.’Yuan,’D.F.’Katz...
Answers to problems, G.A. Truskey, F. Yuan, D.F. Katz, Transport phenomena in biological systems, 2nd edition, Pearson, 2010
Chapter 1-‐4.
1.2 For men: 98.5% in arterial and 99.17% in venous; For women 98.3% in arterial and 99.07% in venous
1.3 CO2: 2.18 cm3 per 100 cm3. O2: 5.28 cm3 per 100 cm3
1.5
Order volume, cm3 surface area, cm2 cumulative volume, cm3 cumulative surface area, cm2 1 0.0158 26.27 0.0158 26.27 2 0.03885 35.32 0.05 61.59 3 0.05738 31.44 0.11 92.99 4 0.09219 30.23 0.20 123.21 5 0.12788 26.64 0.33 149.86 6 0.20487 23.28 0.54 173.14 7 0.20733 15.56 0.74 188.70 8 0.24132 11.03 0.99 199.73 9 0.31010 8.17 1.30 207.89 10 0.23046 3.71 1.53 211.60 11 0.50671 3.99 2.03 215.59
1.7 a: 17.2% (men), 15.8% (women); b: 1.319 l/min; c: 140.027 mM
2.3
2.4 a: (x,y)=(1,1): a = 9 9 𝑒! + 7 𝑒! , (x,y)=(3,1): a = 9 91 𝑒! + 27 𝑒! , ; 288 m3/s
2.11 0.028 cm
2.12
2.14 Yield stress is 6% higher in the new product.
2.25 a: 𝜏!" !!!! = −𝜇 !!!; b: 𝑉! =
!!!!"
𝛿𝑅!; c: 𝑣 = 𝑉! 1 − !! or 𝑣 = 𝑉! 1 − !
!+ !!
!!!
!!;
d: !!""!
= !
! !! !!!!
! or !!""!
= !
! !! !!!!
!!!!! !!!
!!
!!
e:
δ/R µeff/µ (alt. 1) µeff/µ (alt. 2) 0.1 3.09 3.43 0.2 1.95 2.45 0.3 1.70 2.46 0.4 1.74 3.00
3.2 Använd Poiseuilles lag (ekv. 2.7.45) tillsammans med 𝑄 = 𝜋𝑅! 𝑣
3.8 𝜌! − 𝜌! + 𝛼𝑧 = 𝜌! − 𝜌! + 𝛼𝑧! 𝑒!!!!!!" . Tiden då densitetsskillnaden är 1% av den
ursprungliga: Δ𝜌 = !!! !!!!"!!! !!!!!!
= 0.01 = 𝑒!!!!!!!!.!" ⇒ 𝑡!.!" = − !" !.!"!!!!!
3.10 !!!!!!!
= 𝑓 𝑅𝑒, !!!!, !!!!,𝐻𝑐𝑡
4.3 𝐹! =!!𝜌𝜋 𝑣 !𝑅! − 𝑝! − 𝑝! 𝜋𝑅!
4.6 !!!∙! !"!
= !!!!!!
!∙!.!!ln !!
!! med !!
!!= !
!.! fås !!
!∙! !"!
≈ 0.0056 mmHg
4.13 𝐹! =!!!!!
!!!!!!!− 1 = 𝑝! − 𝑝!𝐸! 𝜋𝑅!! + 𝑒! 𝑛 ∙ 𝜏𝑑𝑆!
4.14 𝐹 = 𝑝 !!!
!+ 8 !!
!
!!!!!
!!− 1
4.17b
Människa Mus Re 1061 76,4 α 20,6 2,17 τw 1,10 71,3
