People all over the world are suffering from tooth ache and other tooth disorders. These problems are very harmful to today’s young children’s due to the contemporary food habits. There are so many advancements in the field of medical science. Still there is a requirement of convenient method for removing the tooth caries from the tooth. The techniques that are conventionally practiced such as removal of the entire tooth for the prevention of further distribution of tooth caries, or drilling out the part of the tooth caries and filling it with amalgam or other tooth pastes will result in lot of heat, noise and vibration in the tooth structure which results in ultimate pains to the patients after the removal of the tooth caries from the tooth even though there is no pain during removal because of anesthesia. In order to avoid these problems, a new technique emerged called as Drill-less dentistrywith the aid ofmicro air abrasion technique. The present work deals with mathematical modelling of dental removal rate in Drill-less dentistry. These mathematical expressions reveal that the enamel and dentin removal rate depends upon the value of mass flow rate of abrasives, velocity of abrasives and density of the abrasives.

Topics
Alloys, Mathematical modeling, Fluid flows, Dentistry, Anesthesia, Dentin, Food
1.
R. B.
 
Black
, “
Technique for non-mechanical preparation of cavities and prophylaxis
,” (
Journal of the American Dental Association
,
1945
), pp.
955
–
65
.
Google Scholar
 
2.
R.
 
Cochran
, “
The effect of air - abrasion on shear bond strength to dentin with dental adhesives
,” (
Operative Dentistry
,
1997
), pp.
254
–
59
.
Google Scholar
 
3.
A. D.
 
Walmsley
, “
Transfer technology in dentistry
,” (
British Dental Journal
,
2003
), pp.
226
–
27
.
Google Scholar
 
4.
A.
 
Arvind
,
Vineeti
,
P.
 
Siddharth
 and
K.
 
Kulwinder
, “
A New Dimension to Conservative Dentistry: Air Abrasion
,” (
Indian Journal of Dental Sciences
,
2014
), pp.
124
–
127
.
Google Scholar
 
5.
D. S.
 
Keen
,
J. A.
 
von Frauhofer
 and
F. M.
Parkins
, “
Air abrasive etchingcomposite bond strengths
,” (
Journal of Dental Research
,
1997
), pp.
73
:
131
.
Google Scholar
 
6.
E. A.
 
Berry
 and
M.
 
Ward
, “
Bond strength of resin composite to air-abraded enamel
,” (
Quintessence International
,
1995
), pp.
559
–
62
.
Google Scholar
 
7.
N. Rajesh Jesudoss
 
Hynes
,
N. J.
Vignesh
 and
J. Angela
 
JennifaSujana
, “
Analytical Evaluation of the performance of Abrasives in Drill Less Dentistry
,” in
International Conference on Advances in Design and Manufacturing-2015
.
8.
N. Rajesh Jesudoss
 
Hynes
 and
N. J.
 
Vignesh
, “
Simulation of the Effect of Stand-off Distance on Impact Dynamics of Tooth Structure
,” in
International Conference on Future Trends in Engineering and Technology-2015
.
9.
V. S.
 
Hegde
 and
R. K.
Khatavkar
, “
A new dimension to conservative dentistry: Air abrasion
,” (
Journal of Conservative Dentistry
,
2010
), pp.
4
–
8
.
Google Scholar
 
10.
R. B.
 
Black
, “
Application and revaluation of the air abrasive technique
,” (
The Journal of the American Dental Association
,
1955
), pp.
408
–
414
.
Google Scholar
 
11.
W.
 
Naim
, “
Minimally invasive dentistry – the management of caries
,” (
Quintessence Publishing
,
2007
), pp.
91
–
92
.
Google Scholar
 
12.
D. C.
 
Chan
,
J. B.
Summitt
,
F.
 
Garcia-Godoy
,
T. J.
 
Hilton
 and
K. H.
 
Chung
, “
Evaluation of different methods for cleaning and preparing occlusal fissures
,” (
Operative Dentistry
,
1999
), pp.
331
–
336
.
Google Scholar
 
13.
T. D.
 
Myers
, “
Advances in air abrasive technology
,” (
Journal of the California Dental Association
,
1994
), pp.
41
–
44
.
Google Scholar
 
14.
K.
 
Laurel
,
W.
 
Lord
 and
M.
 
Beck
, “
Kinetic cavity preparation effects on bonding to enamel and dentine
,” (
Journal of Dental Research
,
1993
).
Google Scholar
 
15.
A.
 
Krell
, “
Handbook of ceramic hard material
,” (
Wiley-VCH
,
2000
).
Google Scholar
 
16.
G.
 
Paolinelis
,
A.
Banarjee
 and
T. F.
 
Watson
, “
An in vitro investigation of the effect and retention of bioactive glass air abrasive on sound and carious dentine
,” (
Journal of Dentistry
,
2008
), pp.
214
–
218
.
Google Scholar
 
17.
N. Rajesh Jesudoss
 
Hynes
,
N. J.
Vignesh
,
J. Angela
 
JennifaSujana
, “
Modelling of Enamel and Dentin Removal in Drill-Less Dentistry
,” in
International Conference on Mathematics and its Applications-2014
.
18.
N. Rajesh Jesudoss
 
Hynes
 and
N. J.
Vignesh
, “
Modelling of Dental caries Removal using Micro Air Abrasion Technique,” in International Conference on Advances in Materials and Materials Processing-2015
.
19.
P. K.
 
Mishra
, “
Nonconventional Machining - Seventh Edition
,” (
The Institution of Engineers
,
2008
).
Google Scholar
 
20.
N. Rajesh Jesudoss
 
Hynes
 and
N. J.
 
Vignesh
, “
Modelling of Enamel and Dentin Removal in Micro Air Abrasion Technique
,” (
International Journal of Production Engineering, 2015)
, pp.
21
–
24
.
21.
N. Rajesh Jesudoss
 
Hynes
 and
N. J.
 
Vignesh
, “
Simulation of the effect of Standoff Distance on Impact dynamics of tooth structure
,” (
International Journal of Applied Engineering Research, 2015)
, pp.
29528
–
29530
.
22.
N. Rajesh Jesudoss
 
Hynes
 and
A.
 
SimsonRajapaul
, “
Modelling of Molar Tooth and its behaviour under the Impact of Abrasive Jet
,” (
International Journal of Applied Engineering Research, 2015)
, pp.
6104
–
6106
.
23.
N. Rajesh Jesudoss
 
Hynes
,
N. J.
 
Vignesh
 and
J. Angela
 
JennifaSujana
, “
Computer Simulation of Impact dynamics of Tooth Structure
,” in
Recent Advances in Environmental and Earth Sciences and Economics – 2015.
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