Three parallel plates are placed horizontally and are separated by two fluids at 18°C, with Plate A placed at the bottom and at rest, while Plate C is placed on top and moves at 3 m/s. Cyclohexane lies between Plate A and Plate B, spaced 3 cm apart, while water lies between Plates B and C spaced 3 cm apart. a. What is the relation of the rate of transfer of momentum between Plates A and B, with that between Plates B and C? b. Calculate the velocity of Plate B at steady state. c. Suppose that the plates are spaced equally 5-cm apart, what will be the velocity of Plate B and the shear stress exerted on Plate A to maintain Plate 3 at 3 m/s?
Three parallel plates are placed horizontally and are separated by two fluids at 18°C, with Plate A placed at the bottom and at rest, while Plate C is placed on top and moves at 3 m/s. Cyclohexane lies between Plate A and Plate B, spaced 3 cm apart, while water lies between Plates B and C spaced 3 cm apart. a. What is the relation of the rate of transfer of momentum between Plates A and B, with that between Plates B and C? b. Calculate the velocity of Plate B at steady state. c. Suppose that the plates are spaced equally 5-cm apart, what will be the velocity of Plate B and the shear stress exerted on Plate A to maintain Plate 3 at 3 m/s?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Three parallel plates are placed horizontally and are separated by two fluids at 18°C, with Plate A placed at the bottom and at rest, while Plate C is placed on top and moves at 3 m/s. Cyclohexane lies between Plate A and Plate B, spaced 3 cm apart, while water lies between Plates B and C spaced 3 cm apart.
a. What is the relation of the rate of transfer of momentum between Plates A and B, with that between Plates B and C?
b. Calculate the velocity of Plate B at steady state.
c. Suppose that the plates are spaced equally 5-cm apart, what will be the velocity of Plate B and the shear stress exerted on Plate A to maintain Plate 3 at 3 m/s?
![Temperature
Deg. C
200
190
100
170-
340
+ 330
160320
+310
150- 300
+290
280
270
260
140
130
120250
+240
110230
100
90
80
70-
60-
40
50-
20
+220
210
-200
190
180
30-
ه
170
160
150
140
- 130
120
-10
-20
Deg. ۴,
390
380
370
360
350
10-
-30
+ 110
+++
+
100
90
80
70
60
50
40
30
20
10
ه
-10
-20
30
28
26
24
22
20
18
7 15
14
12
6
-
O
-
Viscosi
Centipois
6 8 10 12 14 16 18 20
ليييييييييللللللللللللللللللللللللللللللللللل](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ddc7a09-9ee5-460c-abf4-dd58e05c623c%2F5c0af272-40cc-4ac2-8b51-17b311ec7dc1%2Fv4yyrbq_processed.png&w=3840&q=75)
Transcribed Image Text:Temperature
Deg. C
200
190
100
170-
340
+ 330
160320
+310
150- 300
+290
280
270
260
140
130
120250
+240
110230
100
90
80
70-
60-
40
50-
20
+220
210
-200
190
180
30-
ه
170
160
150
140
- 130
120
-10
-20
Deg. ۴,
390
380
370
360
350
10-
-30
+ 110
+++
+
100
90
80
70
60
50
40
30
20
10
ه
-10
-20
30
28
26
24
22
20
18
7 15
14
12
6
-
O
-
Viscosi
Centipois
6 8 10 12 14 16 18 20
ليييييييييللللللللللللللللللللللللللللللللللل
![TABLE 2-365 Viscosities of Liquids: Coordinates for Use with Fig. 2-33
Y
Liquid
Acetaldehyde
Acetic acid, 100%
Acetic acid, 70%
Acetic anhydride
Acetone, 100%
Acetone, 35%
Acetonitrile
Acrylic acid
Allyl alcohol
Allyl bromide
Allyl iodide
Ammonia, 100%
Ammonia, 26%
Amyl acetate
Amyl alcohol
Aniline
Anisole
Arsenic trichloride
Benzene
Brine, CaCl₂, 25%
Brine, NaCl, 25%
Bromine
Bromotoluene
Butyl acetate
Butyl acrylate
Butyl alcohol
Butyric acid
Carbon dioxide
Carbon disulfide
Carbon tetrachloride
Chlorobenzene
Chloroform
Chlorosulfonic acid
Chlorotoluene, ortho
Chlorotoluene, meta
Chlorotoluene, para
Cresol, meta
Cyclohexanol
Cyclohexane
Dibromomethane
Dichloroethane
Dichloromethane
Diethyl ketone
Diethyl oxalate
Diethylene glycol
Diphenyl
Dipropyl ether
Dipropyl oxalate
Ethyl acetate
Ethyl acrylate
Ethyl alcohol, 100%
Ethyl alcohol, 95%
Ethyl alcohol, 40%
Ethyl benzene
Ethyl bromide
2-Ethyl butyl acrylate
Ethyl chloride
Ethyl ether
Ethyl formate
2-Ethylhexyl acrylate
Ethyl iodide
Ethylpropionate
Ethyl propyl ether
Ethyl sulfide
Ethylene bromide
Ethylene chloride
Ethylene glycol
Ethylidene chloride
Fluorobenzene
Formic acid
Freon-11
Freon-12
Freon-21
Freon-22
X
15.2
12.1
9.5
12.7
14.5
7.9
14.4
12.3
10.2
14.4
14.0
12.6
10.1
11.8
7.5
8.1
12.3
13.9
12.5
6.6
10.2
14.2
20.0
12.3
11.5
8.6
12.1
11.6
16.1
12.7
12.3
14.4
11.2
13.0
13.3
13.3
2.5
2.9
9.8
12.7
13.2
14.6
13.5
11.0
5.0
12.0
13.2
10.3
13.7
12.7
10.5
9.8
6.5
13.2
14.5
11.2
14.8
14.5
14.2
9.0
14.7
13.2
14.0
13.8
11.9
12.7
6.0
14.1
13.7
10.7
14.4
16.8
15.7
17.2
4.8
14.2
17.0
12.8
7.2
15.0
7.4
13.9
14.3
9.6
11.7
2.0
13.9
12.5
18.4
18.7
13.5
14.5
10.9
15.9
16.6
13.2
15.9
11.0
12.6
17.2
15.3
0.3
7.5
13.1
12.4
10.2
18.1
13.3
12.5
12.5
20.8
24.3
12.9
15.8
12.2
8.9
9.2
16.4
24.7
18.3
8.6
17.7
9.1
10.4
13.8
14.3
16.6
11.5
8.1
14.0
6.0
5.3
8.4
15.0
10.3
9.9
7.0
8.9
15.7
12.2
23.6
8.7
10.4
15.8
9.0
5.6
7.5
4.7
Liquid
Freon-113
Glycerol, 100%
Glycerol, 50%
Heptane
Hexane
Hydrochloric acid, 31.5%
Iodobenzene
Isobutyl alcohol
Isobutyric acid
Isopropyl alcohol
Isopropyl bromide
Isopropyl chloride
Isopropyl iodide
Kerosene
Linseed oil, raw
Mercury
Methanol, 100%
Methanol, 90%
Methanol, 40%
Methyl acetate
Methyl acrylate
Methyli-butyrate
Methyl n-butyrate
Methyl chloride
Methyl ethyl ketone
Methyl formate
Methyl iodide
Methylpropionate
Methyl propyl ketone
Methyl sulfide
Napthalene
Nitric acid, 95%
Nitric acid, 60%
Nitrobenzene
Nitrogen dioxide
Nitrotoluene
Octane
Octyl alcohol
Pentachloroethane
Pentane
Phenol
Phosphorus tribromide
Phosphorus trichloride
Propionic acid
Propyl acetate
Propyl alcohol
Propyl bromide
Propyl chloride
Propyl formate
Propyl iodide
Sodium
Sodium hydroxide, 50%
Stannic chloride
Succinonitrile
Sulfur dioxide
Sulfuric acid, 110%
Sulfuric acid, 100%
Sulfuric acid, 98%
Sulfuric acid, 60%
Sulfuryl chloride
Tetrachloroethane
Thiophene
Titanium tetrachloride
Toluene
Trichloroethylene
Triethylene glycol
Turpentine
Vinyl acetate
Vinyl toluene
Water
Xylene, ortho
Xylene, meta
Xylene, para
X
12.5
2.0
6.9
14.1
14.7
13.0
12.8
7.1
12.2
8.2
14.1
13.9
13.7
10.2
7.5
18.4
12.4
12.3
7.8
14.2
13.0
12.3
13.2
15.0
13.9
14.2
14.3
13.5
14.3
15.3
7.9
12.8
10.8
10.6
12.9
11.0
13.7
6.6
10.9
14.9
6.9
13.8
16.2
12.8
13.1
9.1
14.5
14.4
13.1
14.1
16.4
13.5
10.1
15.2
7.2
8.0
7.0
10.2
15.2
11.9
13.2
14.4
13.7
14.8
4.7
11.5
14.0
13.4
10.2
13.5
13.9
13.9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ddc7a09-9ee5-460c-abf4-dd58e05c623c%2F5c0af272-40cc-4ac2-8b51-17b311ec7dc1%2Fs9y2thc_processed.png&w=3840&q=75)
Transcribed Image Text:TABLE 2-365 Viscosities of Liquids: Coordinates for Use with Fig. 2-33
Y
Liquid
Acetaldehyde
Acetic acid, 100%
Acetic acid, 70%
Acetic anhydride
Acetone, 100%
Acetone, 35%
Acetonitrile
Acrylic acid
Allyl alcohol
Allyl bromide
Allyl iodide
Ammonia, 100%
Ammonia, 26%
Amyl acetate
Amyl alcohol
Aniline
Anisole
Arsenic trichloride
Benzene
Brine, CaCl₂, 25%
Brine, NaCl, 25%
Bromine
Bromotoluene
Butyl acetate
Butyl acrylate
Butyl alcohol
Butyric acid
Carbon dioxide
Carbon disulfide
Carbon tetrachloride
Chlorobenzene
Chloroform
Chlorosulfonic acid
Chlorotoluene, ortho
Chlorotoluene, meta
Chlorotoluene, para
Cresol, meta
Cyclohexanol
Cyclohexane
Dibromomethane
Dichloroethane
Dichloromethane
Diethyl ketone
Diethyl oxalate
Diethylene glycol
Diphenyl
Dipropyl ether
Dipropyl oxalate
Ethyl acetate
Ethyl acrylate
Ethyl alcohol, 100%
Ethyl alcohol, 95%
Ethyl alcohol, 40%
Ethyl benzene
Ethyl bromide
2-Ethyl butyl acrylate
Ethyl chloride
Ethyl ether
Ethyl formate
2-Ethylhexyl acrylate
Ethyl iodide
Ethylpropionate
Ethyl propyl ether
Ethyl sulfide
Ethylene bromide
Ethylene chloride
Ethylene glycol
Ethylidene chloride
Fluorobenzene
Formic acid
Freon-11
Freon-12
Freon-21
Freon-22
X
15.2
12.1
9.5
12.7
14.5
7.9
14.4
12.3
10.2
14.4
14.0
12.6
10.1
11.8
7.5
8.1
12.3
13.9
12.5
6.6
10.2
14.2
20.0
12.3
11.5
8.6
12.1
11.6
16.1
12.7
12.3
14.4
11.2
13.0
13.3
13.3
2.5
2.9
9.8
12.7
13.2
14.6
13.5
11.0
5.0
12.0
13.2
10.3
13.7
12.7
10.5
9.8
6.5
13.2
14.5
11.2
14.8
14.5
14.2
9.0
14.7
13.2
14.0
13.8
11.9
12.7
6.0
14.1
13.7
10.7
14.4
16.8
15.7
17.2
4.8
14.2
17.0
12.8
7.2
15.0
7.4
13.9
14.3
9.6
11.7
2.0
13.9
12.5
18.4
18.7
13.5
14.5
10.9
15.9
16.6
13.2
15.9
11.0
12.6
17.2
15.3
0.3
7.5
13.1
12.4
10.2
18.1
13.3
12.5
12.5
20.8
24.3
12.9
15.8
12.2
8.9
9.2
16.4
24.7
18.3
8.6
17.7
9.1
10.4
13.8
14.3
16.6
11.5
8.1
14.0
6.0
5.3
8.4
15.0
10.3
9.9
7.0
8.9
15.7
12.2
23.6
8.7
10.4
15.8
9.0
5.6
7.5
4.7
Liquid
Freon-113
Glycerol, 100%
Glycerol, 50%
Heptane
Hexane
Hydrochloric acid, 31.5%
Iodobenzene
Isobutyl alcohol
Isobutyric acid
Isopropyl alcohol
Isopropyl bromide
Isopropyl chloride
Isopropyl iodide
Kerosene
Linseed oil, raw
Mercury
Methanol, 100%
Methanol, 90%
Methanol, 40%
Methyl acetate
Methyl acrylate
Methyli-butyrate
Methyl n-butyrate
Methyl chloride
Methyl ethyl ketone
Methyl formate
Methyl iodide
Methylpropionate
Methyl propyl ketone
Methyl sulfide
Napthalene
Nitric acid, 95%
Nitric acid, 60%
Nitrobenzene
Nitrogen dioxide
Nitrotoluene
Octane
Octyl alcohol
Pentachloroethane
Pentane
Phenol
Phosphorus tribromide
Phosphorus trichloride
Propionic acid
Propyl acetate
Propyl alcohol
Propyl bromide
Propyl chloride
Propyl formate
Propyl iodide
Sodium
Sodium hydroxide, 50%
Stannic chloride
Succinonitrile
Sulfur dioxide
Sulfuric acid, 110%
Sulfuric acid, 100%
Sulfuric acid, 98%
Sulfuric acid, 60%
Sulfuryl chloride
Tetrachloroethane
Thiophene
Titanium tetrachloride
Toluene
Trichloroethylene
Triethylene glycol
Turpentine
Vinyl acetate
Vinyl toluene
Water
Xylene, ortho
Xylene, meta
Xylene, para
X
12.5
2.0
6.9
14.1
14.7
13.0
12.8
7.1
12.2
8.2
14.1
13.9
13.7
10.2
7.5
18.4
12.4
12.3
7.8
14.2
13.0
12.3
13.2
15.0
13.9
14.2
14.3
13.5
14.3
15.3
7.9
12.8
10.8
10.6
12.9
11.0
13.7
6.6
10.9
14.9
6.9
13.8
16.2
12.8
13.1
9.1
14.5
14.4
13.1
14.1
16.4
13.5
10.1
15.2
7.2
8.0
7.0
10.2
15.2
11.9
13.2
14.4
13.7
14.8
4.7
11.5
14.0
13.4
10.2
13.5
13.9
13.9
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