nach oben

Journal of Engineering Mathematics

Erschienen in:

01.02.2015

An analysis of the transient regime temperature field in wet grinding

verfasst von: J. L. González-Santander, J. M. Isidro, G. Martín

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, the Samara–Valencia model for heat transfer in grinding is considered. This model is particularized to the case of wet grinding, assuming a constant heat transfer coefficient on the workpiece surface and a constant heat flux profile entering into the workpiece, obtaining a solution for the temperature field in the transient regime. Performing the limit \(t\rightarrow \infty \) in this solution we get a formula analytically equivalent to the well-known solution given by DesRuisseaux for the steady-state temperature field. Also, we derive for the transient regime very simple formulas for relaxation times in wet and dry grinding.

Vorheriger Artikel Contact-impact analysis of a rotating geometric nonlinear plate under thermal shock

Nächster Artikel Closed form expression for the surface temperature in wet grinding: application to maximum temperature evaluation

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Nur mit Berechtigung zugänglich

It should be noted that in [11, Eqn. 22] the temperature field is expressed in terms of dimensionless variables and the initial temperature \(T_{\text {r}}\) is set to zero.

Malkin S (1989) Grinding technology: theory and application of machining with abrasives. Ellis Horwood Ltd, Wiley, New York

Carslaw H, Jaeger JC (1986) Conduction of heat in solids. Oxford Science Publications, OxfordMATH

Guo C, Malkin S (1995) Analysis of energy partition in grinding. J Eng Ind 117:55–61CrossRef

Malkin S, Anderson R (1974) Thermal aspects of grinding, part I: energy partition. J Manuf Sci Eng 96:1177–1183

Lavine A (1991) Thermal aspects of grinding: the effects of heat generation at the shear planes. Annals of CIRP 40:343–345CrossRef

Lavine A (2000) An exact solution for surface temperature in down grinding. Int J Heat Mass Transf 43:4447–4456CrossRefMATH

Pérez J, Hoyas S, Skuratov D, Ratis Y, Selezneva I, Urchueguía J (2008) Heat transfer analysis of intermittent grinding processes. Int J Heat Mass Transf 51:4132–4138CrossRefMATH

Guo C, Malkin S (1995) Analysis of transient temperature in grinding. J Manuf Sci Eng 117:571–577

Skuratov D, Ratis Y, Selezneva I, Pérez J, Fernández de Córdoba P, Urchueguía J (2007) Mathematical modelling and analytical solution for workpiece temperature in grinding. Appl Math Model 31:1039–1047

10.

González-Santander JL, Pérez J, Ferná ndez de Córdoba P, Isidro JM (2009) An analysis of the temperature field of the workpiece in dry continuous grinding. J Eng Math 67:165–174CrossRef

11.

Jaeger JC (1942) Moving sources of heat and the temperature at sliding contracts. Proc R Soc New South Wales 76:204–224

12.

DesRuisseaux NR (1968) Thermal aspects of grinding processes, PhD dissertation, University of Cincinnati

13.

DesRuisseaux NR, Zerkle RD (1970) Temperature in semi-infinite and cylindrical bodies subjected to moving heat surfaces and surface cooling. J Heat Transf 92:456–464CrossRef

14.

Abramowitz M, Stegun I (1972) Handbook of mathematical functions. National Bureau of Standards, WashingtonMATH

15.

Zhang LC, Suto T, Noguchi TH, Waida T (1992) An overview of applied mechanics in grinding. Manuf Rev 4:261–273

16.

Mahdi M, Zhang L (1998) Applied mechanics in grinding-VI. Residual stresses and surface hardening by coupled thermo-plasticity and phase transformation. Int J Mach Tools Manuf 38:1289–1304CrossRef

17.

Zhang LC, Suto T, Noguchi H, Waida T (1993) Applied mechanics in grinding. Part II: modelling of elastic modulus of wheel and interface forces. Int J Mach Tools Manuf 33:245–255CrossRef

18.

Guo C, Wu Y, Varghese V, Malkin S (1999) Temperatures and energy partition for grinding with vitrified CBN wheels. Ann CIRP 42:247–250CrossRef

19.

Zarudi I, Zhang LC (2002) A revisit to some wheel-workpiece interaction problems in surface grinding. Int J Mach Tools Manuf 42:905–913CrossRef

20.

Lavine AS (1988) A simple model for convective cooling during the grinding process. J Eng Ind 110:1–6CrossRef

21.

González-Santander JL, Valdés Placeres JM, Isidro JM (2011) Exact solution for the time-dependent temperature field in dry grinding: application to segmental wheels. Math Probl Eng 2011: 927876, 1–28

22.

Lebedev NN (1965) Special functions and their applications. Dover, New YorkMATH

23.

González-Santander JL (2009) Modelización matem ática de la transmisión de calor en el proceso del rectificado plano industrial, Ph. D. dissertation, Universidad Politécnica de Valencia

24.

Oldham KB, Myland JC, Spanier J (2008) An atlas of functions, 2nd edn. Springer, New YorkMATH

25.

Corless RM, Gonnet GH, Hare DEG, Jeffrey DJ, Knuth DE (1996) On the Lambert W function. Adv Comput Math 5:329–359CrossRefMATHMathSciNet

26.

Murav’ev VI, Yakimov AV, Chernysev AV (2003) Effect of deformation, welding, and electrocontact heating on the properties of titanium alloy VT20 in pressed and welded structures. Met Sci Heat Treat 45:419–422CrossRef

27.

Spiegel MR (1968) Mathematical handbook of formulas and tables. McGraw-Hill, New York

28.

Gradsthteyn IS, Ryzhik IM (2007) Table of integrals, series and products. Academic Press Inc., New York

29.

González-Santander JL, Martín G (2014) Closed form expression for the surface temperature in wet grinding: application to maximum temperature evaluation. J Eng Math. doi:10.1007/s10665-014-9716-3

Titel: An analysis of the transient regime temperature field in wet grinding
verfasst von: J. L. González-Santander
J. M. Isidro
G. Martín
Publikationsdatum: 01.02.2015
Verlag: Springer Netherlands
Erschienen in: Journal of Engineering Mathematics / Ausgabe 1/2015
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-014-9713-6

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Weitere Artikel der Ausgabe 1/2015

Erratum to: Motion induced between parallel plates with offset centers of radial stretching and shrinking

Motion induced between parallel plates with offset centers of radial stretching and shrinking

Contact-impact analysis of a rotating geometric nonlinear plate under thermal shock

Fiber orientation effects on heat source distribution in reinforced polyamide 6.6 subjected to low cycle fatigue

Linear stability analysis on the onset of the Rayleigh–Taylor instability of a miscible slice in a porous medium

Fingering phenomena in immiscible displacement in porous media flow

Premium Partner

Marktübersichten