
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
expand_more
expand_more
format_list_bulleted
Question
![I want the same solution, but with the mention of
questions data and a detailed mathematical
solution.
5-27. Blood flows from the left ventricle (LV) of the heart
which has an exit diameter of di = 16 mm, through the
stenotic aortic valve of diameter d, = 8 mm, and then into
the aorta A having a diameter of dy = 20 mm. If the cardiac
output is 4 liters per minute, the heart rate is 90 beats per
minute, and each ejection of blood lasts 0.31 s, determine
the pressure drop over the valve. Take p, = 1060 kg/m².
ds
SOLUTION
The volume of blood pumped per heartbeat is
4 L/min
90 beat/min
1m
= (0.04444 L/beat)
44.44(10“) m²/beat
1000 L
Thus, the discharge of blood by LV is
+ _ 44.44(10*) m²/beat
0.31 s/beat
0.1434( 10-3) m²/s
Then, the average velocities of the blood flow from the LV and into the Aorta; Vị
and V3, respectively are
0.1434(10³) m²/s = V½ [=(0.008 m)*]
V = 0.7131 m/s
0.1434(10-3) m²/s = V,[ #(0.01 m)*]
Q = V¼A¡;
%3D
%3!
Q = V3A;:
%3D
V3 = 0.4564 m/s
%3D
Writing Bernoulli's equation between the two points,
P3 V
2
+ gz =
+ gz3
Pb
Pb
P1
1060 kg/m
(0.7131 m/s)
(0.4564 m/s)?
+ 0
P3
+ 0 =
2
1060 kg/m
2
Ap = P3 - Pi = 159 Pa
Ans.](https://content.bartleby.com/qna-images/question/2e1e4894-45c2-47bd-805c-91723e105a4b/daa83abd-077b-405f-8a05-0e45d3b1be9e/7dumkva_thumbnail.jpeg)
Transcribed Image Text:I want the same solution, but with the mention of
questions data and a detailed mathematical
solution.
5-27. Blood flows from the left ventricle (LV) of the heart
which has an exit diameter of di = 16 mm, through the
stenotic aortic valve of diameter d, = 8 mm, and then into
the aorta A having a diameter of dy = 20 mm. If the cardiac
output is 4 liters per minute, the heart rate is 90 beats per
minute, and each ejection of blood lasts 0.31 s, determine
the pressure drop over the valve. Take p, = 1060 kg/m².
ds
SOLUTION
The volume of blood pumped per heartbeat is
4 L/min
90 beat/min
1m
= (0.04444 L/beat)
44.44(10“) m²/beat
1000 L
Thus, the discharge of blood by LV is
+ _ 44.44(10*) m²/beat
0.31 s/beat
0.1434( 10-3) m²/s
Then, the average velocities of the blood flow from the LV and into the Aorta; Vị
and V3, respectively are
0.1434(10³) m²/s = V½ [=(0.008 m)*]
V = 0.7131 m/s
0.1434(10-3) m²/s = V,[ #(0.01 m)*]
Q = V¼A¡;
%3D
%3!
Q = V3A;:
%3D
V3 = 0.4564 m/s
%3D
Writing Bernoulli's equation between the two points,
P3 V
2
+ gz =
+ gz3
Pb
Pb
P1
1060 kg/m
(0.7131 m/s)
(0.4564 m/s)?
+ 0
P3
+ 0 =
2
1060 kg/m
2
Ap = P3 - Pi = 159 Pa
Ans.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- In order to improve the production time, the supervisor of assembly lines for a manufacturer of cellular phones has studied the time that it takes to assemble certain parts of a phone at various stations. She measures the time that it takes to assemble a specific part by 158 people at different shifts on different days. The record of her study is organized and shown in the following table. Assume the normal distribution. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Time That it takes a person to Assemble the Part (minutes) What is the mean (in minutes)? x = minutes What is the standard deviation (in minutes)? S= 157 Z = 4 5 6 7 8 9 10 minutes What is the z value corresponding to 6 minutes? X - X 6- =*=*=. S Frequency 13 24 26 32 26 24 13arrow_forwardNeed help with the calculations i keep getting lost in the conversionsarrow_forwardI want to briefly summarize what he is talking about and what you conclude.. the two graph pls urgent(ventilation system)arrow_forward
- 1 A SPHERICAL PORCELAIN BALL, WITH RADIUS R, IS DROPPED WITHOUT INITIAL VELOCITY IN A TEST TUBE CONTAINING GLYCERIN. DURING FALL, THE BALL IS SUBJECT TO THE FOLLO... A spherical porcelain ball, with radius r, is dropped without initial velocity in a test tube containing glycerin. During fall, the ball is subject to the following forces: P its weight; A the thrust of Archimedes; fluid friction force f = k v with k = 6 πrn; n: viscosity (Pa s) of Glycerin, V, velocity Density of Glycerin pg= 1.3 g/mL; density of porcelain pp = 2.3 g/mL; r ball radius= 1.0 cm; n = 1.0 s.Pa; g = 10 N/kg; volume of a sphere V = 4/3 πr³. The speed limit (in m/s) is: 0.11 0.22 0.44 0.33 0.55arrow_forward2 PARTs (A &B)- SOLVE CAREFULLY!! Please Write Clearly and Box the final Answer(s) ( Use images Below - Pay attention to numbers given)arrow_forwardNeeds Complete solution with 100 % accuracyarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY