Rotating Brinkman-Lapwood Convection with Modulation

被引:20
|
作者
Om [1 ]
Bhadauria, B. S. [2 ]
Khan, A. [1 ]
机构
[1] Jai Narain Vyas Univ, Fac Sci, Dept Math & Stat, Jodhpur 342005, Rajasthan, India
[2] Banaras Hindu Univ, Fac Sci, Dept Math, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India
关键词
Rotation speed modulation; Brinkman Model; Lapwood convection; Coriolis force; Taylor number; Vadasz number; Viscosity ratio; RAYLEIGH-BENARD CONVECTION; POROUS LAYER; STABILITY; FLUID;
D O I
10.1007/s11242-011-9744-7
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The purpose of this article is to analyze, theoretically, the effect of modulation on rotating Brinkman-Lapwood convection, i.e., buoyancy-driven convection in a sparse porous medium subjected to rotation. Darcy-Brinkman momentum equation with Coriolis term has been used to describe the flow. The system is considered rotating about an axis with non-uniform rotation speed. In particular, we assume that the rotation speed is varying sinusoidally with time. A linear stability analysis has been performed to find the critical Rayleigh number in modulated case. The effect of modulated rotation speed is found to have a stabilizing effect on the onset of convection for different values of modulation frequency and the other physical parameters involved.
引用
收藏
页码:369 / 383
页数:15
相关论文
共 50 条
  • [31] Effect of Vadasz term on the onset of convection in a Darcy–Brinkman anisotropic rotating porous medium in LTNE
    Florinda Capone
    Jacopo A. Gianfrani
    Continuum Mechanics and Thermodynamics, 2023, 35 : 1911 - 1926
  • [32] Brinkman convection induced by purely internal heating in a rotating porous medium layer saturated by a nanofluid
    Yadav, Dhananjay
    Lee, Jinho
    Cho, Hyung Hee
    POWDER TECHNOLOGY, 2015, 286 : 592 - 601
  • [33] THE EFFECT OF SIDEWALL IMPERFECTIONS ON PATTERN-FORMATION IN LAPWOOD CONVECTION
    IMPEY, MD
    RILEY, DS
    WINTERS, KH
    NONLINEARITY, 1990, 3 (01) : 197 - 230
  • [34] Effect of Vadasz term on the onset of convection in a Darcy-Brinkman anisotropic rotating porous medium in LTNE
    Capone, Florinda
    Gianfrani, Jacopo A.
    CONTINUUM MECHANICS AND THERMODYNAMICS, 2023, 35 (05) : 1911 - 1926
  • [35] Weakly nonlinear analysis of Darcy-Brinkman gravity modulated biothermal convection in rotating porous media
    Akhila, P. A.
    Patil Mallikarjun, B.
    Kiran, Palle
    HEAT TRANSFER, 2025, 54 (01) : 968 - 993
  • [36] ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM
    Sharma, Pushap Lata
    Bains, Deepak
    Rana, Gian Chand
    JOURNAL OF POROUS MEDIA, 2024, 27 (10) : 73 - 96
  • [37] Chaotic convection in an Oldroyd-B nanofluid for the Horton-Rogers-Lapwood problem with nonlinear Boussinesq approximation and gravity modulation
    Rana, Puneet
    Zhu, Xinyi
    Agarwal, Shilpi
    PHYSICS OF FLUIDS, 2025, 37 (01)
  • [38] Chaotic Darcy-Brinkman convection in a fluid saturated porous layer subjected to gravity modulation
    Zhao, Moli
    Wang, Shaowei
    Li, S. C.
    Zhang, Q. Y.
    Mahabaleshwar, U. S.
    RESULTS IN PHYSICS, 2018, 9 : 1468 - 1480
  • [39] Effect of thermal modulation on the onset of convection in a rotating fluid layer
    Malashetty, M. S.
    Swamy, Mahantesh
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2008, 51 (11-12) : 2814 - 2823
  • [40] Structural stability for Brinkman convection with reaction
    Straughan B.
    Al Sulaimi B.
    Bollettino dell'Unione Matematica Italiana, 2014, 7 (3) : 243 - 251