ライブラリ登録: Guest

NONLINEAR FERROCONVECTION IN A POROUS LAYER USING A THERMAL NONEQUILIBRIUM MODEL

巻 1, 発行 2, 2010, pp. 105-121
DOI: 10.1615/SpecialTopicsRevPorousMedia.v1.i2.30
Get accessGet access

要約

The energy stability analysis of a thermoconvective magnetized ferrofluid saturating a porous medium with a thermal nonequilibrium model is performed by means of an integral inequality technique. The boundaries are assumed to be stress-free. An extended Brinkman model is used for the momentum equation, and a two-field model is used for the energy equation, each representing the solid and fluid phases separately. The corresponding Euler-Lagrange equations of the variational problem enable us to define a sharp bound for the threshold of stability for a given class of initial disturbances. The linear stability theory is also employed, and a comparison of results obtained by both linear and nonlinear theories shows a difference in the stability boundaries and thus indicates that the subcritical instabilities are possible for ferrofluids. However, it is noted that for nonferrofluids, linear and nonlinear stability boundaries coincide. The effect of interface heat transfer coefficient H ', magnetic parameter M3, Darcy-Brinkman number Da, and porosity-modified conductivity ratio γ ' on the onset of convection and on the subcritical instability region has been investigated. An asymptotic analysis for both small and large values of interface heat transfer coefficient H ' is also presented. Excellent agreement is found between the exact solutions and asymptotic solutions.

によって引用された
  1. Sharma Poonam, Mahajan Amit, Onset of Darcy–Brinkman double-diffusive convection in a magnetized ferrofluid layer using a thermal non-equilibrium model: a nonlinear stability analysis, Journal of Geophysics and Engineering, 7, 4, 2010. Crossref

  2. Sunil , Sharma Poonam, Mahajan Amit, Onset of Darcy–Brinkman Ferroconvection in a Rotating Porous Layer Using a Thermal Non-Equilibrium Model: A Nonlinear Stability Analysis, Transport in Porous Media, 88, 3, 2011. Crossref

  3. Shivakumara I. S., Ng Chiu-On, Ravisha M., Ferromagnetic Convection in a Heterogeneous Darcy Porous Medium Using a Local Thermal Non-equilibrium (LTNE) Model, Transport in Porous Media, 90, 2, 2011. Crossref

  4. Nanjundappa C.E., Shivakumara I.S., Prakash H.N., Effect of Coriolis force on thermomagnetic convection in a ferrofluid saturating porous medium: A weakly nonlinear stability analysis, Journal of Magnetism and Magnetic Materials, 370, 2014. Crossref

  5. Shivakumara I. S., Ng C.-O., Ravisha M., Ferromagnetic Convection in a Heterogeneous Porous Medium, Arabian Journal for Science and Engineering, 39, 10, 2014. Crossref

  6. Shivakumara I. S., Ravisha M., Ng Chiu-On, Varun V. L., Porous ferroconvection with local thermal nonequilibrium temperatures and with Cattaneo effects in the solid, Acta Mechanica, 226, 11, 2015. Crossref

  7. Prakash Jyoti, Kumar Pankaj, Kumari Kultaran, Manan Shweta, Ferromagnetic Convection in a Densely Packed Porous Medium with Magnetic-Field-Dependent Viscosity – Revisited, Zeitschrift für Naturforschung A, 73, 3, 2018. Crossref

  8. Sunil , Choudhary Shalu, Mahajan Amit, Stability analysis of a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity using a thermal non-equilibrium model, Applied Mathematics and Computation, 340, 2019. Crossref

  9. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2013. Crossref

  10. Mahajan Amit, Parashar Hemant, Linear and weakly nonlinear analysis of a ferrofluid layer for an LTNE model with variable gravity and internal heat source, Journal of Engineering Mathematics, 124, 1, 2020. Crossref

  11. Pan Zhigang, Jia Lan, Mao Yiqiu, Wang Quan, Transitions and bifurcations in couple stress fluid saturated porous media using a thermal non-equilibrium model, Applied Mathematics and Computation, 415, 2022. Crossref

  12. Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref

近刊の記事

HYDROMAGNETIC CASSON FLUID FLOW ACROSS AN INCLINED VERTICAL SURFACE IN POROUS CHANNEL WITH BUOYANCY AND THERMO-DIFFUSION EFFECTS Sowmiya C, Rushi Kumar B Effect of Helical Force on Thermal Convection of a Ferrofluid: A Weakly Non-linear Theory Jagathpally Sharathkumar Reddy, Kishan N, Shiva Kumar Reddy G, Ravi Ragoju STABILITY ANALYSIS OF A COUPLE-STRESS FLUID WITH VARIABLE GRAVITY IN A POROUS MEDIUM FOR DIFFERENT CONDUCTING BOUNDARIES Shalu Choudhary, Reeta Devi, Amit Mahajan, Sunil Sunil CREEPING FLOW ABOUT A TAINTED LIQUID DROP WITH A MICROPOLAR FLUID AND ALIGNED IN A POROUS MEDIUM FILLED WITH VISCOUS FLUID UTILISING SLIP PHANI KUMAR MEDURI, VIJAYA LAKSHMI KUNCHE Reviewing the Impact of Magnetic Prandtl Number and Magnetic Force Parameter on Convective Heat Transfer in Boundary Layers Hossam Nabwey, Muhammad Ashraf, Zia Ullah, Ahmed M. Rashad, Ali J. Chamkha Spectral Analysis for Entropy Generation and Irreversibility on NiZnFe_2O_4 – Engine Oil based Fluids RamReddy Chetteti, Sweta ., Pranitha Janapatla Study of global stability of rotating partially-ionized plasma saturating a porous medium Vishal Chandel, Sunil Kumar, Poonam Sharma Porous Medium Influenced Dissipative Hybrid Casson Nanofluid Flow over a Nonlinearly Stretching Sheet under Inclined Ohmic Lorentz Force Field A. R. Deepika, K. Govardhan, Hussain Basha, G Janardhana Reddy Effect of Motile Gyrotactic Microorganisms on Arterial Stenosis Sisko Nanofluid Flow Through Porous Medium : A Numerical Study Galal Moatimid, Mona Mohamed, Khaled Elagamy, Ahmed Gaber ELECTROTHERMOSOLUTAL CONVECTION IN NANOFLUID SATURATING POROUS MEDIUM Pushap Lata Sharma, Mohini Kapalta EFFECT OF VARIABLE GRAVITY ON THERMAL CONVECTION IN ROTATING JEFFREY NANOFLUID: DARCY-BRINKMAN MODEL Deepak Bains, Pushap Lata Sharma, Gian C. Rana Activation energy effect on MHD convective Maxwell nanofluid flow with Cattaneo-Christove heat flux over a porous stretching sheet JYOTHI NAGISETTY, VIJAYA KUMAR AVULA GOLLA Effects of different fins on Maxwell liquid under hybrid surveys of magnetic and porous material in presence of radiation factors Pooya Pasha, Payam Jalili, Bahram Jalili, Loghman Mostafa, Ahmed Mohammed Mahmood, Hussein Abdullah Abbas, D.D. Ganji
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集 価格及び購読のポリシー Begell House 連絡先 Language English 中文 Русский Português German French Spain