Internally Heated Penetrative Benard-Marangoni Ferroconvection: Effect of MFD Viscosity

被引:0
|
作者
Suprabha, R. [1 ]
Mahesha, C. R. [1 ]
Nanjundappa, C. E. [2 ]
机构
[1] Dr Ambedkar Inst Technol, Dept Ind Engn & Management, Bengaluru 560056, India
[2] Dr Ambedkar Inst Technol, Dept Math, Bengaluru 560056, India
关键词
Benard-Marangoni fcrroconvection; Galerkin technique; Internal heating; Magnetic Field Dependent viscosity; magnetic susceptibility; Insulated boundaries; CONVECTIVE INSTABILITY; TRANSFER ENHANCEMENT; FERROFLUIDS; LAYER;
D O I
10.1063/5.0039846
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A representation for the effect of internally heated on penetrative Benard-Marangani-ferroconvection (BMF) driven by constant and uniform volumetric heating with magnetic field dependent (MFD) viscosity is studied. The lower surface is rigid-isothermal and the upper free surface is considered to be plane and non-deformable subject to Robin type of thermal boundary condition. A Galerkin-type is based on the weighted residual method (WRM) has been used to obtain the cigenvalue for gravity and magnetic thermal Rayleigh number. It is noted that the buoyancy, magnetic and surface tension forces influence the onset of BMF. The onset of BMF is delayed with an increase in magnetic field dependent viscosity parameter (A), Biot number (Bi) and magnetic susceptibility (chi) with an increase in the region of stability. In addition, the nonlinearity of fluid magnetization (M-3) and magnetic number (M-1) is found to hasten the onset of FTC. Some existing results are reproduced as particular cases from the present study.
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页数:9
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共 38 条
  • [1] Effect of temperature dependent viscosity on the onset of Benard-Marangoni ferroconvection
    Nanjundappa, C. E.
    Prakash, H. N.
    Shivakumara, I. S.
    Lee, Jinho
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2014, 51 : 25 - 30
  • [2] Benard-Marangoni ferroconvection with magnetic field dependent viscosity
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Arunkumar, R.
    [J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2010, 322 (15) : 2256 - 2263
  • [3] Onset of Benard-Marangoni ferroconvection with a convective surface boundary condition: The effects of cubic temperature profile and MFD viscosity
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Savitha, B.
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2014, 51 : 39 - 44
  • [4] Effect of Coriolis Force on Benard-Marangoni Convection in a Rotating Ferrofluid Layer with MFD Viscosity
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Lee, Jinho
    [J]. MICROGRAVITY SCIENCE AND TECHNOLOGY, 2015, 27 (01) : 27 - 37
  • [5] Onset of Benard-Marangoni Ferroconvection with Internal Heat Generation
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Arunkumar, R.
    [J]. MICROGRAVITY SCIENCE AND TECHNOLOGY, 2011, 23 (01) : 29 - 39
  • [6] Onset of Benard-Marangoni Ferroconvection with Internal Heat Generation
    C. E. Nanjundappa
    I. S. Shivakumara
    R. Arunkumar
    [J]. Microgravity Science and Technology, 2011, 23 : 29 - 39
  • [7] Effect of temperature-dependent viscosity on the onset of Benard-Marangoni ferroconvection in a ferrofluid saturated porous layer
    Nanjundappa, C. E.
    Savitha, B.
    Raju, B. Arpitha
    Shivakumara, I. S.
    [J]. ACTA MECHANICA, 2014, 225 (03) : 835 - 850
  • [8] On the penetrative Benard-Marangoni convection in a ferromagnetic fluid layer
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Srikumar, K.
    [J]. AEROSPACE SCIENCE AND TECHNOLOGY, 2013, 27 (01) : 57 - 66
  • [9] TO THE THEORY OF BENARD-MARANGONI EFFECT
    RABINOVICH, LM
    YABLOKOV, MV
    [J]. DOKLADY AKADEMII NAUK, 1992, 327 (02) : 238 - 242
  • [10] Onset of Marangoni-Benard Ferroconvection with Temperature Dependent Viscosity
    Nanjundappa, C. E.
    Shivakumara, I. S.
    Arunkumar, R.
    [J]. MICROGRAVITY SCIENCE AND TECHNOLOGY, 2013, 25 (02) : 103 - 112