Mechanical Engineering Exam > Mechanical Engineering Questions > Chvorinov and Caine gave rules for solidific...
Start Learning for Free
Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00
the diameter of riser is _____________.
- a)128
- b)129
Correct answer is between ' 128, 129'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Chvorinov and Caine gave rules for solidification time and freezing r...
Given that, h = d
Surface area of the casting
The parameters of Caine’s curve
Putting these values is Caine’s equation, we have
Most Upvoted Answer
Chvorinov and Caine gave rules for solidification time and freezing r...
Riser Design for Steel Casting
In the context of steel casting, Chvorinov and Caine provided rules for calculating the solidification time and freezing ratio for a riser. These parameters are important in designing an effective riser system to ensure proper feeding of the casting during solidification. Let's discuss the given problem and calculate the diameter of the riser.
Problem Statement
A cylindrical riser with a height to diameter ratio of 1 is used for a steel casting of a certain size. The casting is fed horizontally, and the riser is positioned on the side. The given values are:
a = 0.10 (Chvorinov constant)
b = 0.03 (Caine constant)
c = 1.00 (height to diameter ratio)
We need to determine the diameter of the riser.
Solution
To calculate the diameter of the riser, we can use the Chvorinov and Caine equations:
Solidification time (ts) = a * V / A
Freezing ratio (F) = b * (A / V)^c
where:
ts = solidification time
V = volume of the casting
A = surface area of the casting
F = freezing ratio
Calculating the Volume and Surface Area
Since the casting is cylindrical, we can calculate the volume and surface area using the formulas for a cylinder:
Volume (V) = π * r^2 * h
Surface Area (A) = 2 * π * r * h + π * r^2
where:
r = radius of the casting (riser)
h = height of the casting (riser)
Since the height to diameter ratio is given as 1, we can assume the height and diameter of the casting are equal, i.e., h = d.
Substituting Values and Solving
Now, we can substitute the given values into the equations and solve for the diameter of the riser.
Solidification time (ts) = a * V / A
ts = a * (π * r^2 * h) / (2 * π * r * h + π * r^2)
Freezing ratio (F) = b * (A / V)^c
F = b * ((2 * π * r * h + π * r^2) / (π * r^2 * h))^c
Since h = d, we can simplify the equations further:
ts = a * (π * r^2 * d) / (2 * π * r * d + π * r^2)
F = b * ((2 * π * r * d + π * r^2) / (π * r^2 * d))^c
By substituting the given values of a, b, and c, we can calculate the diameter of the riser using these equations. The calculated value falls between 128 and 129, according to the correct answer given.
In the context of steel casting, Chvorinov and Caine provided rules for calculating the solidification time and freezing ratio for a riser. These parameters are important in designing an effective riser system to ensure proper feeding of the casting during solidification. Let's discuss the given problem and calculate the diameter of the riser.
Problem Statement
A cylindrical riser with a height to diameter ratio of 1 is used for a steel casting of a certain size. The casting is fed horizontally, and the riser is positioned on the side. The given values are:
a = 0.10 (Chvorinov constant)
b = 0.03 (Caine constant)
c = 1.00 (height to diameter ratio)
We need to determine the diameter of the riser.
Solution
To calculate the diameter of the riser, we can use the Chvorinov and Caine equations:
Solidification time (ts) = a * V / A
Freezing ratio (F) = b * (A / V)^c
where:
ts = solidification time
V = volume of the casting
A = surface area of the casting
F = freezing ratio
Calculating the Volume and Surface Area
Since the casting is cylindrical, we can calculate the volume and surface area using the formulas for a cylinder:
Volume (V) = π * r^2 * h
Surface Area (A) = 2 * π * r * h + π * r^2
where:
r = radius of the casting (riser)
h = height of the casting (riser)
Since the height to diameter ratio is given as 1, we can assume the height and diameter of the casting are equal, i.e., h = d.
Substituting Values and Solving
Now, we can substitute the given values into the equations and solve for the diameter of the riser.
Solidification time (ts) = a * V / A
ts = a * (π * r^2 * h) / (2 * π * r * h + π * r^2)
Freezing ratio (F) = b * (A / V)^c
F = b * ((2 * π * r * h + π * r^2) / (π * r^2 * h))^c
Since h = d, we can simplify the equations further:
ts = a * (π * r^2 * d) / (2 * π * r * d + π * r^2)
F = b * ((2 * π * r * d + π * r^2) / (π * r^2 * d))^c
By substituting the given values of a, b, and c, we can calculate the diameter of the riser using these equations. The calculated value falls between 128 and 129, according to the correct answer given.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer?
Question Description
Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer?.
Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer?.
Solutions for Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer?, a detailed solution for Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? has been provided alongside types of Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Chvorinov and Caine gave rules for solidification time and freezing ratio for a riser. A cylindrical riser of height to diameter ratio as one is used for a steel casting of size , when the casting is fed horizontally and riser is a side one. For steel a= 0.10,b= 0.03,c= 1.00the diameter of riser is _____________.a) 128b) 129Correct answer is between ' 128, 129'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup