Using the Kroghtissue cylinder model learned in class, we intend to calculate the glucose concentration around the blood vessels in the muscle tissue. (For calculation, it is assumed that the vessel has the following conditions in images.) Calculate C(rT, z) when r=rT and draw a graph with the value of z as the x-axis.

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
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Using the Kroghtissue cylinder model learned in class, we intend to calculate the glucose concentration around the blood vessels in the muscle tissue. (For calculation, it is assumed that the vessel has the following conditions in images.)

Calculate C(rT, z) when r=rT and draw a graph with the value of z as the x-axis.

(glucose consumption rate), R, = 0.01 µmol/sec/cm
Krogh tissue cylinder radius, rp = 40 µm
Glucose concentration at inlet, Co = 5 µmol/cm³
Permeability coefficient for glucose across capillary wall, Pm = 5.76 × 10-5
cm/sec
Film mass transfer coefficient for blood side, km = 0.033 cm-1
Diffusivity of glucose in water, Dr = 0.91 × 10-5
cm²/sec
Transcribed Image Text:(glucose consumption rate), R, = 0.01 µmol/sec/cm Krogh tissue cylinder radius, rp = 40 µm Glucose concentration at inlet, Co = 5 µmol/cm³ Permeability coefficient for glucose across capillary wall, Pm = 5.76 × 10-5 cm/sec Film mass transfer coefficient for blood side, km = 0.033 cm-1 Diffusivity of glucose in water, Dr = 0.91 × 10-5 cm²/sec
TABLE 5.1
Capillary Characteristics
Property
Value
Inside diameter (D)
10 μm
Length (L)
0.1 cm
Wall thickness (tm)
0.5 µm
Average blood velocity (V)
0.05 cm sec-!
Transcribed Image Text:TABLE 5.1 Capillary Characteristics Property Value Inside diameter (D) 10 μm Length (L) 0.1 cm Wall thickness (tm) 0.5 µm Average blood velocity (V) 0.05 cm sec-!
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