Q6/ It is required to enhance the wear resistance of steel part by Nitriding process. To perform such task, the nitrogen surface concentration must be increased to 0.5 wt% while the initial value was 0.002 wt%. The nitrogen gas with constant temperature is provided from external source. To optimize the diffusion process; the subsurface layer of 0.4 mm depth, must has nitrogen content of 0.1 wt%. Find out the required process temperature to accomplish this treatment at 1.6 hour. The values of activation energy and preexponential for the nitrogen in iron at this temperature are 76,150 J/mol and 3 x 107 m2/s, respectively.

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Chapter5: Analysis Of Convection Heat Transfer
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Q6/ It is required to enhance the wear resistance of steel part by Nitriding process. To perform such task,
the nitrogen surface concentration must be increased to 0.5 wt% while the initial value was 0.002 wt%.
The nitrogen gas with constant temperature is provided from external source. To optimize the diffusion
process; the subsurface layer of 0.4 mm depth, must has nitrogen content of 0.1 wt%. Find out the
required process temperature to accomplish this treatment at 1.6 hour. The values of activation energy
and preexponential for the nitrogen in iron at this temperature are 76,150 J/mol and 3 x 107 m2/s,
respectively.
erf(z)
erf(z)
erf(z)
0.55
0.5633
1.3
0.9340
0.025
0.0282
0.60
0.6039
1.4
0.9523
0.05
0.0564
0.65
0.6420
1.5
0.9661
0.10
0.1125
0.70
0.6778
1.6
0.9763
0.15
0.1680
0.75
0.7112
1.7
0.9838
0.20
0.2227
0.80
0.7421
1.8
0.9891
0.25
0.2763
0.85
0.7707
1.9
0.9928
0.30
0.3286
0.90
0.7970
2.0
0.9953
0.35
0.3794
0.95
0.8209
2.2
0.9981
0.40
0.4284
1.0
0.8427
2.4
0.9993
0.45
0.4755
1.1
0.8802
2.6
0.9998
0.50
0.5205
1.2
0.9103
2.8
0.9999
Transcribed Image Text:Q6/ It is required to enhance the wear resistance of steel part by Nitriding process. To perform such task, the nitrogen surface concentration must be increased to 0.5 wt% while the initial value was 0.002 wt%. The nitrogen gas with constant temperature is provided from external source. To optimize the diffusion process; the subsurface layer of 0.4 mm depth, must has nitrogen content of 0.1 wt%. Find out the required process temperature to accomplish this treatment at 1.6 hour. The values of activation energy and preexponential for the nitrogen in iron at this temperature are 76,150 J/mol and 3 x 107 m2/s, respectively. erf(z) erf(z) erf(z) 0.55 0.5633 1.3 0.9340 0.025 0.0282 0.60 0.6039 1.4 0.9523 0.05 0.0564 0.65 0.6420 1.5 0.9661 0.10 0.1125 0.70 0.6778 1.6 0.9763 0.15 0.1680 0.75 0.7112 1.7 0.9838 0.20 0.2227 0.80 0.7421 1.8 0.9891 0.25 0.2763 0.85 0.7707 1.9 0.9928 0.30 0.3286 0.90 0.7970 2.0 0.9953 0.35 0.3794 0.95 0.8209 2.2 0.9981 0.40 0.4284 1.0 0.8427 2.4 0.9993 0.45 0.4755 1.1 0.8802 2.6 0.9998 0.50 0.5205 1.2 0.9103 2.8 0.9999
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