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Warianty tytułu
Języki publikacji
Abstrakty
In this paper we present numerical solutions to coupled non-linear governing equations of thermo-viscous fluid flow in cylindrical geometry using MATHEMATICA software solver. The numerical results are presented in terms of velocity, temperature and pressure distribution for various values of the material parameters such as the thermo-mechanical stress coefficient, thermal conductivity coefficient, Reiner Rivlin cross viscosity coefficient and the Prandtl number in the form of tables and graphs. Also, the solutions to governing equations for slow steady motion of a fluid have been obtained numerically and compared with the existing analytical results and are found to be in excellent agreement. The results of the present study will hopefully enable a better understanding applications of the flow under consideration.
Rocznik
Tom
Strony
965--979
Opis fizyczny
Bibliogr. 21 poz., tab., wykr.
Twórcy
autor
- Department of Mathematics VNR Vignana Jyothi Istitute of Engineering and Technology Kukatpally, Hyderabad – 500090, INDIA
autor
- Department of Mathematics VNR Vignana Jyothi Istitute of Engineering and Technology Kukatpally, Hyderabad – 500090, INDIA
autor
- Department of Mechanical Engineering Cleveland State University Cleveland, Ohio 44115 USA
Bibliografia
- [1] Anuradha K. (2006): On steady and unsteady flows of thermo-viscous fluids. Ph. D Thesis.- J.N.T.U. Hyderabad, India.
- [2] Green A.E. and Naghdi P.M. (1965): A dynamical theory of interacting continua. Int. J. Engg. Sci., vol.3, pp.231-241.
- [3] Green A.E. and Naghdi P.M. (1995): A new thermo-viscous theory for fluids. Journal of Non-Newtonian Fluid Mechanics, vol.56, No.3, pp.289-306.
- [4] Kelly P.D. (1965): Some viscometric flows of incompressible thermo-viscous fluids. Int. J. Engg. Sci., vol.2, pp.519-537.
- [5] Koh S.L. and Eringin A.C. (1963): On the foundations of non-linear thermo-elastic fluids Int. J. Engg. Sci., vol.1, pp.199 -229.
- [6] Langlois W.E. and Rivlin R.S. (1963): Slow steady flow of viscoelastic fluids through non-linear tubes. Rendiconti di Mathematica, vol.22 , pp.169-175.
- [7] Muthuraj R. and Srinivas S. (2007): Flow of a thermo-viscous fluid through an annular tube with constriction. Defence Science Journal, vol.57, No.5, pp.653-659.
- [8] Md. Hossain M., Mandal A.C., Roy N.C. and Hossain M.A. (2013): Flow of thermomicropolar fluid past a vertical surface. Applications and AppliedMathematics: An International Journal, vol.8, No.1, pp.128-150.
- [9] Nagaratnam E. (2006): Some steady and unsteady flows of thermo-viscous fluids. Ph. D Thesis, J.N.T.U Hyderabad, India.
- [10] Nageswara Rao P. (1979): Some problems in thermo-viscous fluid dynamics. Ph. D Thesis, K.U. Warangal, India.
- [11] Nageswara Rao P. and Pattabhi Ramacharyulu N.Ch. (1979): Steady flow of a second order thermo- viscous fluid over an infinite plate. Proc. Ind. Acad. Sci., vol.88A, Part III No.2, pp.157-162.
- [12] Nageswara Rao P. and Pattabhi Ramacharyulu N.Ch. (1979): Steady flow of a thermo-viscous fluid through straight tubes. Journal of Ind. Inst. Sci., vol.61(B), pp.89-102.
- [13] Nageswara Rao P. and Pattabhi Ramacharyulu N.Ch. (1980): A note on steady slow motion of thermo-viscous fluid through a circular tube. Indian Journal of Pure and Appl. Math., vol.11, No.4, pp.487-491.
- [14] Pattabhi Ramacharyulu N.Ch. (1966): Problems in the steady of non-Newtonian fluid dynamics. Ph. D Thesis, O.U. Hyderabad, India.
- [15] Pothanna N., Nageswara Rao P. and Pattabhi Ramacharyulu N.Ch. (2015): Flow of slightly thermo-viscous fluid in a porous slab bounded between two permeable parallel plates. Int. J. Adv. Appl. Math. and Mech., vol.2, No.3, pp.1-9.
- [16] Pothanna N., Srinivas J., Nageswara rao P. and Pattabhi Ramacharyulu N.Ch. (2014): Linearization of thermoviscous fluid in a porous slab bounded between two fixed permeable horizontal parallel plates in the absencje of thermo-mechanical interaction coefficient. International Journal of Modern Trends in Engineering and Research, vol.1, No.5, pp.412-424.
- [17] Pothanna N., Pattabhi Ramacharyulu N.Ch. and Nageswara Rao P. (2015): Effect of strain thermal conductivity on slightly thermo-viscous fluid in a porous slab bounded between two parallel plates. Journal of Advanced Computing, vol.4, No.1, pp.37-58.
- [18] Pothanna N., Aparna P. and Srinivas J. (2016): Unsteady forced oscillations of a fluid bounded by rigid bottom. International Journal of Control Theory and Applications vol.9, No.19, pp.9049-9054.
- [19] Srinivas J., Pothanna N., Nageswara Rao P. and Pattabhi Ramacharyulu N.Ch. (2013): Slow steady motion of a thermo-viscous fluid between two parallel plates with constant pressure and temperature gradients. International Journal of Research in Engineering and Technology, vol.2, No.11, pp.294-299.
- [20] Srinivas S. and Muthuraj R. (2005): Flow of a thermo-viscous fluid in a radially non-symmetric constricted tube. Journal of Ultra Scientist of Physical sciences, vol.17, pp.437-442.
- [21] Srinivas S., Srinivas Ch. V. and Pattabhi Ramacharyulu N.Ch. (1995): Peristaltic transport of a thermo-viscous fluid. Acta Ciencia Indica, vol.47, pp.1157-1167.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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