Доступ предоставлен для: Guest

THE EFFECT OF PHASE-LAGS AND GRAVITY ON MICROPOLAR THERMOELASTIC MEDIUM WITH TEMPERATURE DEPENDENT PROPERTIES

Том 23, Выпуск 4, 2020, pp. 395-412
DOI: 10.1615/JPorMedia.2020020275
Get accessGet access

Краткое описание

The present paper is concerned with wave propagation in a micropolar thermoelastic solid with temperature dependent properties under the effect of a gravitational field. The formulation of the problem was applied in the context of the three-phase-lag model and Green-Naghdi theory without dissipation. The medium is a homogeneous isotropic thermoelastic in the half-space. The exact expressions of the considered variables were obtained using normal mode analysis. The results from the two theories were compared in the absence and presence of the gravitational field as well as temperature dependent properties. A comparison was also made for the two theories without micropolar constants.

ЛИТЕРАТУРА
  1. Abbas, I.A., Kumar, R., Sharma, K.D., and Garg, S.K., Deformation due to Thermomechanical Sources in a Homogeneous Isotropic Micropolar Thermoelastic Medium with Void, J. Comput. Theor. Nanosci., vol. 12, pp. 1698-1708, 2015.

  2. Biot, M.A., Mechanics of Incremental Deformation, New York: John Wiley & Sons, 1965.

  3. Bromwich, T.J.J.A., On the Influence of Gravity on Elastic Waves and in Particular on the Vibrations of an Elastic Globe, J. Proc. London Math. Soc, vol. 30, pp. 98-165, 1898.

  4. Chandrasekharaiah, D.S., Heat Flux Dependent Micropolar Thermoelasticity, Int. J. Eng. Sci., vol. 24, pp. 1389-1395, 1986.

  5. Chandrasekharaiah, D.S., Hyperbolic thermoelasticity: A Review of Recent Literature, J. Appl. Mech. Rev., vol. 51, pp. 8-16, 1998.

  6. Choudhuri, S.R., On a Thermoplastic Three-Phase-Lag Model, J. Therm. Stresses, vol. 30, pp. 231-238, 2007.

  7. Ellahi, R., The Effects of MHD and Temperature Dependent Viscosity on the Flow of Non-Newtonian Nanofluid in a Pipe: Analytical Solutions, Appl. Math. Model., vol. 37, pp. 1451-1457, 2013.

  8. Ellahi, R., Aziz, S., and Zeeshan, A., Non-Newtonian Fluid Flow through a Porous Medium between Two Coaxial Cylinders with Heat Transfer and Variable Viscosity, J. Porous Media, vol. 16, pp. 205-216, 2013.

  9. Ellahi, R., Tariq, M.H., Hassan, M., and Vafai, K., On Boundary Layer Magnetic Flow of Nano-Ferroliquid under the Influence of Low Oscillating over Stretchable Rotating Disk, J. Mol. Liq., vol. 229, pp. 339-345, 2017.

  10. Eringen, A.C., Linear Theory of Micropolar Elasticity, J. Math. Mech., vol. 15, pp. 909-923, 1966.

  11. Eringen, A.C., Foundations of Micropolar Thermoelasticity, Berlin: CISM, Springer, 1970.

  12. Green, A.E. and Lindsay, K.A., Thermoelasticity, J. Elast., vol. 2, pp. 1-7, 1972.

  13. Green, A.E. and Naghdi, P.M., A Re-Examination of the Basic Postulate of Thermo-Mechanics, Proc. Roy. Soc. London, vol. 432, pp. 171-194, 1991.

  14. Green, A.E. and Naghdi, P.M., On Undamped Heat Waves in an Elastic Solid, J. Therm. Stresses, vol. 15, pp. 253-264, 1992.

  15. Green, A.E. and Naghdi, P.M., Thermoelasticity without Energy Dissipation, J. Elast., vol. 31, pp. 189-208, 1993.

  16. Kumar, R. and Singh, B., Reflection of Plane Waves from the Flat Boundary of a Micropolar Thermoelastic Half Space with Stretch, Ind. J. Pure Applied. Math, vol. 29, pp. 657-669, 1998.

  17. Kumar, R., Sharma, N., and Lata, P., Thermomechanical Interactions due to Hall Current in Transversely Isotropic Thermoelastic with and without Energy Dissipation with Two Temperatures and Rotation, J. Solid Mech., vol. 8, pp. 840-858,2016.

  18. Lata, P., Kumar, R., and Sharma, N., The Effect of Energy Dissipation on Plane Waves in Transversely Isotropic Magnetothermoe- lastic Medium with Two Temperatures and Rotation, Steel Composite Struct., vol. 22, pp. 567-587, 2016.

  19. Lord, H.W. and Shulman, Y., A Generalized Dynamical Theory of Thermo-Elasticity, J. Mech. Phys. Solid., vol. 15, pp. 299-309, 1967.

  20. Love, A.E.H., Some Problems of Geodynamics,New York: Dover, 1911.

  21. Nowacki, W., Theory of Asymmetric Elasticity, Oxford, UK: Pergamon, 1986.

  22. Othman, M.I.A. and Singh, B., The Effect of Rotation on Generalized Micropolar Thermo-Elasticity for a Half-Space under Five Theories, Int. J. Solid. Struct., vol. 44, pp. 2748-2762, 2007.

  23. Othman, M.I.A., Hasona, W.M., and Eraki, E., The Effect of Initial Stress on Generalized Thermoelastic Medium with Three- Phase-Lag Model under Temperature Dependent Properties, Can. J. Phys, vol. 92, pp. 448-457, 2014.

  24. Quintanilla, R. and Racke, R., A Note on Stability in Three-Phase-Lag Heat Conduction, Int. J. Heat Mass Transf, vol. 51, pp. 24-29, 2008.

  25. Said, S.M., Influence of the Rotation on a Generalized Magneto-Thermoelastic Medium for Three-Phase-Lag Model, Multi. Model. Mater. Struct., vol. 11, pp. 297-318, 2015.

  26. Said, S.M. and Othman, M.I.A., Influence of the Mechanical Force and the Magnetic Field on Fibre-Reinforced Medium for Three-Phase-Lag Model, Eur. J. Comput. Mech, vol. 24, pp. 210-231, 2015.

  27. Said, S.M., Two-Temperature Generalized Magneto-Thermoelastic Medium for Dual-Phase-Lag Model under the Effect of Gravity Field and Hydrostatic Initial Stress, Multi. Model. Mater. Struct., vol. 12, pp. 362-383,2016.

  28. Sethi, M., Gupta, K.C., Gupta, D., and Manish, Surface Waves in Fibre-Reinforced Anisotropic Solid Elastic Media under the Influence of Gravity, Int. J. Appl. Mech. Eng., vol. 18, pp. 177-188, 2013.

  29. Singh, B., Wave Propagation in an Orthotopic Micropolar Elastic Solid, Int. J. Sol. Struct, vol. 44, pp. 3638-3645, 2007.

  30. Singh, R. and Kumar, V., Eigen Value Approach to Two Dimensional Problem in Generalized Magneto Micropolar Thermoelastic Medium with Rotation Effect, Int. J. Appl. Mech. Eng., vol. 21, pp. 205-219, 2016.

  31. Tzou, D.Y., A Unified Approach for Heat Conduction from Macro- to Micro-Scales, ASME J. Heat Transf., vol. 117, pp. 8-16, 1995.

  32. Youssef, H.M., Theory of Two-Temperature Generalized Thermoelasticity, IMA J. Appl. Math., vol. 71, pp. 383-390, 2005.

Статьи, принятые к публикации

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции Цены и условия подписки Begell House Контакты Language English 中文 Русский Português German French Spain