Abstract
Accurate measurements of enthalpy increment (H T − H 298.15) values have been made on a Ti–5 mass% Ta–1.8 mass% Nb alloy using the inverse drop calorimetry technique in the temperature range from 463 K to 1457 K. The measured enthalpy increment values show a steady increase with temperature in both α-hcp and β-bcc solid solution regions. It is found that both the onset as well the completion of the α → β phase change are demonstrated by a marked deviation of the enthalpy increment behavior from the otherwise smooth variation encountered in the respective low-temperature α- and high-temperature β-phase domains. The transformation start (T s) and finish (T f) temperatures of the α → β phase change are found to be (1072±10) K and (1156±10) K, respectively. In the actual α → β phase transformation region, the variation of the enthalpy with the progress of transformation is found to follow a sigmoidal shape which is in line with the diffusive nature of the phase transformation. An estimation of the total enthalpy change associated with the α → β phase transformation (Δ°H tr) has been made by assuming a simple diffusion limited kinetic model for the phase change. The net enthalpy change for the α → β transformation is found to be 76 J · g−1. The measured temperature variation of the enthalpy increment in both α- and β-phase regimes are fitted to simple analytical functional forms to obtain temperature-dependent estimates of the specific heat, C P . The total specific heat change associated with the α → β phase transformation \({\Delta^{\circ}{C_{P}^{\alpha}}^{\rightarrow{\beta}}}\) is estimated to be 904 J · kg−1 · K−1.
Similar content being viewed by others
References
Polmear I.J.: Light Alloys: From Traditional Alloys to Nano Crystals, 4th edn, pp. 299. Elsevier, Amsterdam, The Netherlands (2006)
Davis J.R.: Alloying: Understanding the Basics, pp. 417. ASM International, Materials Park, OH (2001)
Karthikeyan T., Mythili R., Saroja S., Vijayalakshmi M.: Met. Mater. Process. 18, 269 (2006)
Saroja S., Vijayalakshmi M., Raj B.: Trans. Indian Inst. Met. 61, 389 (2008)
Mythili R., Saroja S., Vijayalakshmi M., Raghunathan V.S.: J. Nucl. Mater. 345, 167 (2005)
Mythili R., Ravi Shankar A., Saroja S., Raju V.R., Vijayalakshmi M., Dayal R.K., Raghunathan V.S., Balasubramaniam R.: J. Mater. Sci. 42, 5924 (2007)
Mythili R., Saroja S., Vijayalakshmi M.: Mater. Sci. Eng. A 454–455, 43 (2007)
Karthikeyan T., Dasgupta A., Saroja S., Khatirkar R., Vijayalakshmi M., Samajdar I.: Mater. Sci. Eng. A 485, 581 (2008)
Banerjee A., Raju S., Divakar R., Mohandas E.: Mater. Lett. 59, 1219 (2005)
Archer D.G.: J. Phys. Chem. Ref. Data 22, 1441 (1993)
Mythili R., Thomas Paul V., Saroja S., Vijayalakshmi M., Raghunathan V.S.: Mater. Sci. Eng. A 390, 299 (2005)
Villars P., Daams J.L.C.: J. Alloys Compd. 197, 177 (1993)
Malinov S., Sha W., Guo Z., Tang C.C., Long A.E.: Mater. Charact. 48, 279 (2002)
Anbarasan V., Jeyaganesh B., Raju S., Murugesan S., Mohandas E., Kamachi Mudali U., Manivasagam G.: J. Alloys Compd. 463, 160 (2008)
Davis R., Flower H.M., West D.R.F.: J. Mater. Sci. 14, 712 (1979)
Favstov Yu.K.: Met. Sci. Heat Treat. 40, 29 (1998)
A.J. Prabha, S. Raju, B. Jeyaganesh, A.K. Rai, I. Johnson, in Proceedings of the 17th National Symposium on Thermal Analysis (THERMANS-2010), ed. by P.C. Kalsi, R.V. Pai, M.R. Pai, S.R. Bharadwaj, V. Venugopal (SIRD, BARC, India, 2010), p. 42
Bros H., Michel M.L., Castanet R.: J. Therm. Anal. 41, 7 (1994)
Raju S., Jeyaganesh B., Banerjee A., Mohandas E.: Mater. Sci. Eng. A 465, 29 (2007)
Liu F., Sommer F., Mittemeijer E.J.: Int. Mater. Rev. 52, 193 (2007)
Starink M.J.: J. Mater. Sci. 32, 6505 (1997)
Ruteinberg G., Woldt E., Petford-Long A.K.: Thermochim. Acta 378, 97 (2001)
Grimvall G.: Thermophysical Properties of Materials, pp. 146. North-Holland, Amsterdam, Oxford, New York, Tokyo (1986)
M.W. Chase, C.A. Davis, J.R. Downey, J. Frurip, R.A. McDonald, A.N. Syverud, JANAF Thermochemical Tables, 3rd edn. J. Phys. Chem. Ref. Data 14, 1601, 1811, 1819, 1820 (1985)
J. Prabha, S. Raju, B. Jeyaganesh, A.K. Rai, M. Behera, M. Vijayalakshmi, G. Panneerselvam, I. Johnson, Philos. Mag. (submitted) (2010)
Author information
Authors and Affiliations
Corresponding author
Additional information
Madhusmita Behera—Senior Research Fellow, Homi Bhabha National Institute at IGCAR.
Rights and permissions
About this article
Cite this article
Behera, M., Raju, S., Jeyaganesh, B. et al. A Study on Thermal Properties and α(hcp) → β(bcc) Phase Transformation Energetics in Ti–5 mass% Ta–1.8 mass% Nb Alloy Using Inverse Drop Calorimetry. Int J Thermophys 31, 2246–2263 (2010). https://doi.org/10.1007/s10765-010-0866-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10765-010-0866-x