Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

V R MANTHENA; G D KEDAR

doi:https://doi.org/10.5541/ijot.434180

Article Details

Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Authors:

V R MANTHENA | G D KEDAR

Publisher:

Uluslararası Uygulamalı Termodinamik Derneği İktisadi İşletmesi

Main Topics:

Applied physics

Journal:

International Journal of Thermodynamics 2018 Vol.21 Issue 4, pp.202-212

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000476674

Frequency:

Quarterly

eISSN:

2146-1511

pISSN:

1301-9724

DOI:

https://doi.org/10.5541/ijot.434180

Abstract:

 


In this paper, the effect of internal heat generation has been studied in a functionally graded thick hollow cylinder in context with thermosensitive thermoelastic properties. Initially, the cylinder is kept at reference temperature and the radial boundary surface under consideration dissipates heat by convection according to Newton’s law of cooling, heat flux is applied at the lower surface, while the upper surface is insulated. The heat conduction equation due to internal heat generation is solved by integral transform technique and Kirchhoff’s variable transformation is used to deal with the nonlinearity of the heat conduction equation. A mathematical model has been constructed for a nonhomogenous material in which the material properties are assumed to be dependent on both temperature and spatial variable z. A ceramic-metal-based FGM is considered in which alumina is selected as ceramic and nickel as metal. The results obtained are illustrated graphically.

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Article Details

Mathematical Modeling of Thermoelastic State of a Functionally Graded Thermally Sensitive Thick Hollow Cylinder With Internal Heat Generation

Authors: V R MANTHENA | G D KEDAR

Publisher: Uluslararası Uygulamalı Termodinamik Derneği İktisadi İşletmesi

Main Topics: Applied physics

Journal: International Journal of Thermodynamics 2018 Vol.21 Issue 4, pp.202-212

Document Type: Article

Publication Date: 12/2018

Document Language: English

Document ID (Org No.): 2000476674

Frequency: Quarterly

eISSN: 2146-1511

pISSN: 1301-9724

DOI: https://doi.org/10.5541/ijot.434180

Issues

Authors:

V R MANTHENA | G D KEDAR

Publisher:

Uluslararası Uygulamalı Termodinamik Derneği İktisadi İşletmesi

Main Topics:

Applied physics

Journal:

International Journal of Thermodynamics 2018 Vol.21 Issue 4, pp.202-212

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000476674

Frequency:

Quarterly

eISSN:

2146-1511

pISSN:

1301-9724

DOI:

https://doi.org/10.5541/ijot.434180