IJSRSET calls volunteers interested to contribute towards the scientific development in the field of Science, Engineering and Technology

Home > IJSRSET184137                                                     


Wave Propagation at an Interface of Heat Conducting Micropolar Solid (Viscoelastic) and Fluid Media

Authors(3):

Nidhi Sharma, Rajneesh Kumar, Balwinder Kumar
  • Abstract
  • Authors
  • Keywords
  • References
  • Details
The present investigation is concerned with wave propagation at an interface of micropolar generalized viscothermoelastic solid half space and heat conducting micropolar fluid half space. Reflection and transmission phenomenon of plane waves impinging obliquely at a plane interface between a micropolar generalized viscothermoelastic solid half space and heat conducting micropolar fluid half space are investigated. The incident wave is assumed to be striking at the plane interface after propagating through the micropolar generalized viscothermoelastic solid with two tempratures. Amplitude ratios of the various reflected and transmitted waves are obtained in closed form and it is observed that Amplitude ratios are function of angle of incidence, frequency and are affected by the micropolar viscoelastic properties of the media.Viscosity, Micropolarity and thermal relaxation effects are shown on these amplitude ratios for a specific model. Results of some earlier workers have also been deduced from the present investigation.

Nidhi Sharma, Rajneesh Kumar, Balwinder Kumar

Micropolar Viscothermoelastic Solid, Micropolar Fluid, Viscothermoelastic, Reflection Coefficient, Transmission Coefficienthalf Space.

  1. Eringen, A.C. Simple microfluids. International Journal of Engineering Science 2, 205-217 (1964)
  2. Eringen, A.C. Theory of microfluids. Journal of Applied Mathematics and Mechanics 16, 1-18 (1966 a)
  3. Ariman, T., Sylvester, N.D. and Turk, M.A. Microcontinuum fluid mechanics-a review. International Journal of Engineering Science 11, 905-930 (1973)
  4. Ariman, T., Sylvester, N.D. and Turk, M.A. Review article applications of microcontinuum fluid mechanics. International Journal of Engineering Science 12, 273-293 (1974)
  5. Riha, P. On the theory of heat-conducting micropolar fluid with microtemperature. Acta Mechanic 23, 1-8 (1975)
  6. Eringen, A.C. and Kafadar, C.B. Polar field theories. In continuum Physics (Edited by A.C. Eringen) Vol. IV. Academic Press, New York (1976)
  7. Brulin, O. Linear micropolar media. In mechanics of Micropolar Media (Edited by O. Brulin and R.K.T. HSIEH) World Scientific, Singapore (1982)
  8. Aggarwal, R.S. and Dhanapal, C. Flow and heat transfer in a micropolar fluid past a flate plate with suction and heat sources. International Journal of Engineering Science 26, 1257-1266 (1988)
  9. Payne, L.E. and Straughan, B. Critical Rayleigh Numbers for oscillatory and Non linear convection in an isotropic thermomicropolar fluid. International Journal of Engineering Science 27, 827-836 (1989)
  10. Gorla, R.S.R. Combined forced and free convection in the boundary layer flow of a micropolar fluid on a continuous moving vertical cylinder. International Journal of Engineering Science 27, 77-86 (1989)
  11. Eringen, A.C. Theory of Microstretch and Bubbly Liquids. International Journal of Engineering Science 28, 133-143 (1990)
  12. Aydemir, N.U. and Venart J.E.S. Flow of a thermomicropolar fluid with stretch. International Journal of Engineering Science 28, 1211-1222 (1990)
  13. Yerofeyev, V.I. and Soldatov, I.N. A shear surface wave at the interface of an elastic body and a micropolar liquid. Journal of Applied Mathematics and Mechanics 63, 277-281 (1999)
  14. Yeremeyev, V.A. and Zubov, L.M. The theory of elastic and viscoelastic micropolar liquids. Journal of Applied Mathematics and Mechanics 63, 755-767 (1999)
  15. Hsia, S.Y. and Cheng, J.W. Longitudinal plane waves propagation in elastic micropolar porous media. Japanese Journal of Applied Physics 45, 1743-1748 (2006)
  16. Hsia, S.Y., Chiu, S.M., Su, C.C. and Chen, T.H. Propagation of transverse waves in elastic micropolar porous semispaces. Japanese Journal of Applied Physics 46, 7399-7405 (2007)
  17. Eringen, A.C. Linear Theory of micropolar elasticity. Journal of Applied Mathematics and Mechanics. 15, 909-923 (1966 b)
  18. Eringen, A.C.Linear Theory of micropolar viscoelasticity.Int. J. Eng.Sci., vol.5,pp191-204(1967)
  19. Biot, M. Thermoelasticity and Irreversible Thermodynamics. Journal of Applied Physics 27, 240-253 (1956)
  20. Lord, H. and Shulman, Y. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids 15, 299-309 (1967)
  21. Muller, I.M. The coldness, a universal function in thermoelastic bodies. Archive for Rational Mechanics and Analysis 41, 319-332 (1971)
  22. Green, A.E. and Laws, N. On the entropy production inequality. Archive for Rational Mechanics and Analysis 45, 47-53 (1972)
  23. Green, A.E. and Lindsay, K.A. Thermoelasticity. Journal of Elasticity 2, 1-7 (1972)
  24. Suhubi, E.S. Thermoelastic solids, in: A.C. Eringen (Ed.), Continuum physics, 2, Academic Press, New York, 1975, Part 2, Chapter 2
  25. Tomar, S.K. and Gogna, M.L. Reflection and refraction of a longitudinal microrotational wave at an interface between two micropolar elastic solids in welded contact. Journal of Applied Mathematics and Mechanics 30, 1637-1646 (1992)
  26. Tomar, S.K. and Gogna, M.L. Reflection and refraction of a longitudinal displacement wave at an interface between two micropolar elastic solids in welded contact. Journal of the Acoustical Society of America 97, 827-830 (1995 a)
  27. Tomar, S.K. and Gogna, M.L. Reflection and refraction of a coupled transverse and microrotational waves at an interface between two different micropolar elastic solids in welded contact. Journal of Applied Mathematics and Mechanics 30, 485-496 (1995 b)
  28. Kumar, R., Sharma, N. and Ram, P. Reflection and transmission of micropolar elastic waves at an imperfect boundary, Multidiscipline Modelling in materials and structures (MMMS) 4, 15-36 (2008 a)
  29. Kumar, R., Sharma, N. and Ram, P. Interfacial imperfection on reflection and transmission of plane waves in anisotropic micropolar media. Theoretical and Applied Fracture Mechanics 49, 305-312 (2008 b)
  30. Kumar R.Wave propagation in micropolar viscoelastic generalized thermoelastic solid.-Int.J.Eng.Sci.,vol.38,pp.1377-1395.
  31. Singh, D. and Tomar, S. K. Longitudinal waves at a micropolar fluid/solid interface. Journal of Applied Mathematics and Mechanics 45, 225-244 (2008)
  32. Ciarletta, M. Spatial decay estimates for heat conducting micropolar fluids. Journal of Applied Mathematics and Mechanics 39, 655-668 (2001)
  33. Parfit, V.R. and Eringen, A.C., Reflection of plane waves from the flat boundary of a micropolar elastic half space. Journal of the Acoustical Society of America 45, 1258-1272 (1969)
  34. Dhaliwal, R.S. and Singh, A., Dynamic coupled thermoelasticity, Hindustan Publication Corporation, New Delhi, India (1980)
  35. Singh, B. and Kumar, R., Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space. Journal of Applied Mathematics and Mechanics 36, 865-890 (1998)
  36. Schoenberg, M., Transmission and reflection of plane wave at an elastic-viscoelastic interface. Geophysics Journal of Royal Astronomical Society 25, 35-47 (1971)

Publication Details

Published in : Volume 4 | Issue 1 | January-February - 2018
Date of Publication Print ISSN Online ISSN
2018-02-28 2395-1990 2394-4099
Page(s) Manuscript Number   Publisher
108-131 IJSRSET184137   Technoscience Academy

Cite This Article

Nidhi Sharma, Rajneesh Kumar, Balwinder Kumar, "Wave Propagation at an Interface of Heat Conducting Micropolar Solid (Viscoelastic) and Fluid Media", International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 1, pp.108-131, January-February-2018.
URL : http://ijsrset.com/IJSRSET184137.php