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For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is
[The mould constant is 2 s/mm2]
- a)45
- b)316
- c)340
- d)620
Correct answer is option 'D'. Can you explain this answer?
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For casting a cylindrical aluminum bloom having a length of 1000 mm an...
The Chvorinov equation is used to estimate the solidification time of a casting:
t = (V / A) * (T / ΔT)^n
Where:
t = solidification time (minutes)
V = volume of the casting (mm^3)
A = surface area of the casting (mm^2)
T = pouring temperature (°C)
ΔT = temperature difference between pouring temperature and solidification temperature (°C)
n = exponent (typically 2 for cylindrical castings)
First, we need to calculate the volume and surface area of the casting:
Volume of cylinder = π * r^2 * h
= π * (375)^2 * 1000
≈ 441,786,656 mm^3
Surface area of cylinder = 2 * π * r * h + 2 * π * r^2
= 2 * π * 375 * 1000 + 2 * π * (375)^2
≈ 2,828,427 mm^2
Assuming a pouring temperature of 750°C and a solidification temperature of 600°C, and taking n = 2, we can calculate the approximate solidification time using the Chvorinov equation:
t = (441,786,656 / 2,828,427) * (750 / (750 - 600))^2
≈ 0.158 * 3.78^2
≈ 0.158 * 14.2884
≈ 2.258 minutes
Therefore, the approximate solidification time for casting a cylindrical aluminum bloom with a length of 1000 mm and diameter of 750 mm is estimated to be around 2.258 minutes using the Chvorinov equation.
t = (V / A) * (T / ΔT)^n
Where:
t = solidification time (minutes)
V = volume of the casting (mm^3)
A = surface area of the casting (mm^2)
T = pouring temperature (°C)
ΔT = temperature difference between pouring temperature and solidification temperature (°C)
n = exponent (typically 2 for cylindrical castings)
First, we need to calculate the volume and surface area of the casting:
Volume of cylinder = π * r^2 * h
= π * (375)^2 * 1000
≈ 441,786,656 mm^3
Surface area of cylinder = 2 * π * r * h + 2 * π * r^2
= 2 * π * 375 * 1000 + 2 * π * (375)^2
≈ 2,828,427 mm^2
Assuming a pouring temperature of 750°C and a solidification temperature of 600°C, and taking n = 2, we can calculate the approximate solidification time using the Chvorinov equation:
t = (441,786,656 / 2,828,427) * (750 / (750 - 600))^2
≈ 0.158 * 3.78^2
≈ 0.158 * 14.2884
≈ 2.258 minutes
Therefore, the approximate solidification time for casting a cylindrical aluminum bloom with a length of 1000 mm and diameter of 750 mm is estimated to be around 2.258 minutes using the Chvorinov equation.
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For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer?
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For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer?.
For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For casting a cylindrical aluminum bloom having a length of 1000 mm and diameter of 750 mm, the approximate solidification time (in minutes) estimated using Chvorinov’s rule is[The mould constant is 2 s/mm2]a)45b)316c)340d)620Correct answer is option 'D'. Can you explain this answer?.
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