2. sdu to (di CUS A concentric tube arrangement, for which the inner and outer diameters are 80 mm and 100 mm, respectively, is used to remove heat from a biochemical reaction occur- ring in a 1-m-long settling tank. Heat is generated uni- formly within the tank at a rate of 105 W/m³, and water is supplied to the annular region at a rate of 0.2 kg/s. boqolovebyllu Water oy Reaction tank, q= 1 x 105 W/m³,- L = 1 m ess m = 0.2 kg/s ai ai 2A bozas YSTIB VETERS D₁ = 80 mm 8 Jaundx-Insulation wrap D₁ = 100 mm 6,29vi (a) Determine the inlet temperature of the supply water that will maintain an average tank surface tempera- ture of 37°C. Assume fully developed flow and thermal conditions. Is this assumption reasonable? (b) It is desired to have a slight, axial temperature gra- dient on the tank surface, since the rate of the bio- chemical reaction is highly temperature dependent. Sketch the axial variation of the water and surface temperatures along the flow direction for the fol- lowing two cases: (i) the fully developed conditions of part (a), and (ii) conditions for which entrance effects are important. Comment on features of the temperature distributions. What change to the sys- tem or operating conditions would you make to reduce the surface temperature gradient? (d) -hos -izzil .OT his y

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
2.
A concentric tube arrangement, for which the inner and
outer diameters are 80 mm and 100 mm, respectively, is
used to remove heat from a biochemical reaction occur-
ring in a 1-m-long settling tank. Heat is generated uni-
to (di
formly within the tank at a rate of 105 W/m³, and water
is supplied to the annular region at a rate of 0.2 kg/s.
sdu)
betsl
CUS
-102 sdu
Reaction tank,
q= 1 x 105 W/m³,
boqolovsb L=1m
Water oxy
m = 0.2 kg/s
+
of
19
-D₁ = 80 mm
D = 100 mm
x-Insulation wrap
6,20vi (a) Determine the inlet temperature of the supply water
that will maintain an average tank surface tempera-
ture of 37°C. Assume fully developed flow and
thermal conditions. Is this assumption reasonable?
ni sb
ai als
bozasq
YSTIE
(d)
2A (b) It is desired to have a slight, axial temperature gra-
dient on the tank surface, since the rate of the bio-
chemical reaction is highly temperature dependent.
Sketch the axial variation of the water and surface
temperatures along the flow direction for the fol-
lowing two cases: (i) the fully developed conditions
of part (a), and (ii) conditions for which entrance
effects are important. Comment on features of the
temperature distributions. What change to the sys-
tem or operating conditions would you make to
betslag reduce the surface temperature gradient?
-izzib
OT
his vi
Transcribed Image Text:2. A concentric tube arrangement, for which the inner and outer diameters are 80 mm and 100 mm, respectively, is used to remove heat from a biochemical reaction occur- ring in a 1-m-long settling tank. Heat is generated uni- to (di formly within the tank at a rate of 105 W/m³, and water is supplied to the annular region at a rate of 0.2 kg/s. sdu) betsl CUS -102 sdu Reaction tank, q= 1 x 105 W/m³, boqolovsb L=1m Water oxy m = 0.2 kg/s + of 19 -D₁ = 80 mm D = 100 mm x-Insulation wrap 6,20vi (a) Determine the inlet temperature of the supply water that will maintain an average tank surface tempera- ture of 37°C. Assume fully developed flow and thermal conditions. Is this assumption reasonable? ni sb ai als bozasq YSTIE (d) 2A (b) It is desired to have a slight, axial temperature gra- dient on the tank surface, since the rate of the bio- chemical reaction is highly temperature dependent. Sketch the axial variation of the water and surface temperatures along the flow direction for the fol- lowing two cases: (i) the fully developed conditions of part (a), and (ii) conditions for which entrance effects are important. Comment on features of the temperature distributions. What change to the sys- tem or operating conditions would you make to betslag reduce the surface temperature gradient? -izzib OT his vi
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