Question

A long cylinder of 30-mm diameter, initially at a uniform temperature of 700 K, is suddenly quenched in a large, constant-temperature oil bath at 350 K. The cylinder properties are k = 1.7 W/m·K, c = 1600 J/kg·K, and ? = 400 kg/m³, while the convection coefficient is 59 W/m²·K. Physical Properties Mathematical Functions Step 1 Your answer is correct. When deciding if the lumped capacitance method can be used, what is the value of the Biot number? Bi_c = 0.26 Attempts: 1 of 5 used Using multiple attempts will impact your score. 5% score reduction after attempt 2 Step 2 Your answer is correct. When using the one-term approximation for transient 1-D conduction, what is the value of the applicable Biot number? Use Table 5.1. Bi = .52 Attempts: 1 of 5 used Using multiple attempts will impact your score. 5% score reduction after attempt 2 Step 3 Your answer is correct. Using the one-term approximation, if Bi in Table 5.1 were equal to 1.0, what would be the value of C1 for this problem? C_1 = 1.207 Attempts: 4 of 5 used Using multiple attempts has impacted your score. 5% score reduction after attempt 2 Step 4 Use the one-term approximation method to solve for the Fourier number for reaching the surface temperature of 500 K. F_0 = Save for Later Attempts: 0 of 5 used Submit Answer Using multiple attempts will impact your score. 5% score reduction after attempt 2 Step 5 Solve for the time required for the surface of the cylinder to reach 500 K, in sec. t = sec

A long cylinder of 30-mm diameter, initially at a uniform temperature of 700 K, is suddenly quenched in a large, constant-temperature oil bath at 350 K. The cylinder properties are k = 1.7 W/m·K, c = 1600 J/kg·K, and ? = 400 kg/m³, while the convection coefficient is 59 W/m²·K.
Physical Properties Mathematical Functions

Step 1
Your answer is correct.
When deciding if the lumped capacitance method can be used, what is the value of the Biot number?
Bi_c = 0.26
Attempts: 1 of 5 used
Using multiple attempts will impact your score.
5% score reduction after attempt 2

Step 2
Your answer is correct.
When using the one-term approximation for transient 1-D conduction, what is the value of the applicable Biot number? Use Table 5.1.
Bi = .52
Attempts: 1 of 5 used
Using multiple attempts will impact your score.
5% score reduction after attempt 2

Step 3
Your answer is correct.
Using the one-term approximation, if Bi in Table 5.1 were equal to 1.0, what would be the value of C1 for this problem?
C_1 = 1.207
Attempts: 4 of 5 used
Using multiple attempts has impacted your score.
5% score reduction after attempt 2

Step 4
Use the one-term approximation method to solve for the Fourier number for reaching the surface temperature of 500 K.
F_0 =
Save for Later
Attempts: 0 of 5 used Submit Answer
Using multiple attempts will impact your score.
5% score reduction after attempt 2

Step 5
Solve for the time required for the surface of the cylinder to reach 500 K, in sec.
t = sec

A long cylinder of 30-mm diameter, initially at a uniform temperature of 700 K, is suddenly quenched in a large, constant-temperature oil bath at 350 K. The cylinder properties are k = 1.7 W/m·K, c = 1600 J/kg·K, and ? = 400 kg/m³, while the convection coefficient is 59 W/m²·K.
Physical Properties Mathematical Functions

Step 1
Your answer is correct.
When deciding if the lumped capacitance method can be used, what is the value of the Biot number?
Bic = 0.26
Attempts: 1 of 5 used
Using multiple attempts will impact your score.
5% score reduction after attempt 2

Step 2
Your answer is correct.
When using the one-term approximation for transient 1-D conduction, what is the value of the applicable Biot number? Use Table 5.1.
Bi = .52
Attempts: 1 of 5 used
Using multiple attempts will impact your score.
5% score reduction after attempt 2

Step 3
Your answer is correct.
Using the one-term approximation, if Bi in Table 5.1 were equal to 1.0, what would be the value of C1 for this problem?
C1 = 1.207
Attempts: 4 of 5 used
Using multiple attempts has impacted your score.
5% score reduction after attempt 2

Step 4
Use the one-term approximation method to solve for the Fourier number for reaching the surface temperature of 500 K.
F0 =
Save for Later
Attempts: 0 of 5 used Submit Answer
Using multiple attempts will impact your score.
5% score reduction after attempt 2

Step 5
Solve for the time required for the surface of the cylinder to reach 500 K, in sec.
t = sec

Added by Cody H.

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