Three related analytical thermal models of plane heat source moving obliquely along the surface of a semi-infinite solid are presented. The temperature distribution of grinding zone under deep-cut conditions is investigated with these models. It is proposed that the oblique angle of the heat source plane to its moving direction has an essential influence on the grinding zone temperature rise and its distribution of high efficiency deep grinding (HEDG). Compared with that in creep-feed grinding, HEDG has a different form of heat flux distribution in grinding zone and should be treated with different thermal models. The temperature distribution at the shear zone of orthogonal cutting is also briefly discussed with the thermal models. The models developed in the paper provide a more rational and integrated analytical basis for dealing with the heat transfer problems of inclined moving heat sources.

Issue Section:
Technical Papers
Keywords:
cutting, grinding, temperature distribution, heat transfer
Topics:
Cutting, Grinding, Heat, Heat flux, Heat transfer, Temperature, Temperature distribution
1.
Jaeger
,
J. C.
,
1942
, “
Moving Sources of Heat and the Temperature at Sliding Contacts
,”
J. Proc. R. Soc. N. S. W.
,
76
, pp.
456
–
464
.
2.
Des Ruisseaux
,
N. R.
, and
Zerkle
,
R. D.
,
1970
, “
Thermal Analysis of the Grinding Process
,”
ASME J. Eng. Ind.
,
92
, pp.
428
–
434
.
3.
Des Ruisseaux
,
N. R.
, and
Zerkle
,
R. D.
,
1970
, “
Temperature in Semi-infinite and Cylindrical Bodies Subjected Moving Heat Sources and Surface Cooling
,”
ASME J. Heat Transfer
,
92
, pp.
456
–
464
.
4.
Malkin
,
S.
, and
Anderson
,
R. B.
,
1974
, “
Thermal Aspects of Grinding: Part 1: Energy Partition,” “Part 2: Surface Temperature and Workpiece Burn
,”
ASME J. Eng. Ind.
,
96
, pp.
1177
–
1191
.
5.
Guo
,
C.
, and
Malkin
,
S.
,
1995
, “
Analysis of Energy Partition in Grinding
,”
ASME J. Eng. Ind.
,
117
, pp.
55
–
61
.
6.
Lavine
,
A. S.
, and
Jen
,
T. C.
,
1991a
, “
Thermal Aspects of Grinding: Heat Transfer to Workpiece, Wheel, and Fluid
,”
ASME J. Heat Transfer
,
113
, pp.
296
–
303
.
7.
Lavine
,
A. S.
, and
Jen
,
T. C.
,
1991b
, “
Coupled Heat Transfer to Workpiece, Wheel, and Fluid in Grinding, and the Occurrence of Workpiece Burn: Heat Transfer
,”
Int. J. Heat Mass Transf.
,
34
, pp.
983
–
992
.
8.
Jen
,
T. C.
, and
Lavine
,
A. S.
,
1995
, “
A Variable Heat Flux Model of Heat Transfer in Grinding: Model Development
,”
ASME J. Heat Transfer
,
117
, pp.
473
–
478
.
9.
Jen
,
T. C.
, and
Lavine
,
A. S.
,
1996
, “
A Variable Heat Flux Model of Heat Transfer in Grinding With Boiling
,”
ASME J. Heat Transfer
,
118
, pp.
463
–
470
.
10.
Loewen
,
E. G.
, and
Shaw
,
M. C.
,
1954
, “
On the Analysis of Cutting Tool Temperatures
,”
Trans. ASME
,
76
, pp.
217
–
221
.
11.
Dawson
,
P. R.
, and
Malkin
,
S.
,
1984
, “
Inclined Moving Heat Source Model for Calculating Metal Cutting Temperature
,”
ASME J. Eng. Ind.
,
106
, pp.
179
–
186
.
12.
Rapier
,
A. C.
,
1954
, “
A Theoretical Investigation of The Temperature Distribution In The Metal Cutting
,”
Br. J. Appl. Phys.
,
5
, pp.
400
–
405
.
13.
Tay
,
A. O.
,
Stevenson
,
M. G.
, and
de Vahl Davis
,
G.
,
1974
, “
Using the Finite Element Method to Determine Temperature Distribution in Orthogonal Machining
,”
Proc. Inst. Mech. Eng.
,
188
, No.
55
, pp.
627
–
638
.
14.
Ren, J. X., 1988, Grinding Principle, Press of Northeastern Polytechnic University (China).
15.
Hou, Z. B., 1984, Heat Conduction in Solid, Press of Shanghai Science and Technology, Shanghai, China.
16.
Kim
,
N. K.
,
Guo
,
C.
, and
Malkin
,
S.
,
1997
, “
Heat Flux Distribution And Energy Partition In Creep-Feed Grinding
,”
Annals of the CIRP
,
46
, No.
1
, pp.
227
–
232
.
17.
Tawakoli
,
T.
, et al.,
1992
, “
Hochleistungsschleifen (HEDG) von Inconel und anderen Werkstoffen
”
VDI-Z
, Nr. 1-Januar,
134
, pp.
48
–
57
.
18.
Lavine
,
A. S.
,
1988
, “
A Simple Model for Convective Cooling During the Grinding Process
,”
ASME J. Eng. Ind.
,
110
, pp.
1
–
6
.
Copyright © 2001
 by ASME
You do not currently have access to this content.