Tipping points in Cattaneo-Christov thermohaline convection

被引：28
|
作者：
Straughan, B. [1 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2011年 / 467卷 / 2125期
关键词：
tipping points; porous convection; thermohaline convection; Cattaneo-Christov theory; NONCLASSICAL HEAT-CONDUCTION; DIPOLAR FLUID; TEMPERATURE; SUSPENSIONS; WAVES; MODEL;
D O I：
10.1098/rspa.2010.0104
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A model is proposed for thermohaline convection when the heat flux satisfies a relaxation time law rather than the classical Fourier one. Here, we adopt the recent law due to Christov. That a Cattaneo-like law would be relevant in thermohaline convection in star evolution was proposed in 1995 by Herrera and Falcon. They do not develop a detailed model which we do here. We find that with the Cattaneo-Christov law, there is a transition curve (depending on the salt concentration) such that for Cattaneo numbers greater than this transition, the nature of convection changes dramatically.
引用
收藏
页码：7 / 18
页数：12
相关论文
共 50 条
  • [31] On model for flow of Burgers nanofluid with Cattaneo-Christov double diffusion
    Hayat, Tasawar
    Aziz, Arsalan
    Muhammad, Taseer
    Alsaedi, Ahmed
    CHINESE JOURNAL OF PHYSICS, 2017, 55 (03) : 916 - 929
  • [32] Capturing the onset of thermocapillary convection in the Cattaneo-Christov flow of electrically conducting thin film of Welan gum solution
    Tripathi, Rajat
    Kumari, Abha
    WAVES IN RANDOM AND COMPLEX MEDIA, 2022,
  • [33] Natural convection and variable fluid properties of tangent hyperbolic nanofluid flow with Cattaneo-Christov theories and heat generation
    Salahuddin, T.
    Kalssom, Syeda Maryum
    Awais, Muhammad
    Khan, Mair
    Afzal, M.
    RESULTS IN ENGINEERING, 2024, 24
  • [34] Forced convection in 3D Maxwell nanofluid flow via Cattaneo-Christov theory with Joule heating
    Ahmed, Awais
    Khan, Masood
    Sarfraz, Mahnoor
    Ahmed, Jawad
    Iqbal, Zahoor
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING, 2021, 235 (04) : 747 - 757
  • [35] Cattaneo-Christov double diffusions theories with bio-convection in nanofluid flow to enhance the efficiency of nanoparticles diffusion
    Khan, Shan Ali
    Waqas, Hassan
    Naqvi, Syed Muhammad Raza Shah
    Alghamdi, Metib
    Al-Mdallal, Qasem
    CASE STUDIES IN THERMAL ENGINEERING, 2021, 26 (26)
  • [36] Heat transfer analysis in bio-convection second grade nanofluid with Cattaneo-Christov heat flux model
    Hayat, T.
    Inayatullah
    Muhammad, Khursheed
    Alsaedi, A.
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING, 2023, 237 (04) : 1117 - 1124
  • [37] Numerical study on buoyant convection and thermal radiation in a cavity with various thermal sources and Cattaneo-Christov heat flux
    Sivasankaran, S.
    Bhuvaneswari, M.
    Amer, A. A.
    CASE STUDIES IN THERMAL ENGINEERING, 2021, 27
  • [38] Cattaneo-Christov heat flux in flow by rotating disk with variable thickness
    Tasawar Hayat
    Asmara Kiran
    Maria Imtiaz
    Ahmed Alsaedi
    The European Physical Journal Plus, 132
  • [39] Cattaneo-Christov double-diffusion model for flow of Jeffrey fluid
    Hayat, Tasawar
    Qayyum, Sajid
    Shehzad, Sabir Ali
    Alsaedi, Ahmed
    JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2017, 39 (12) : 4965 - 4971
  • [40] Squeezed flow subject to Cattaneo-Christov heat flux and rotating frame
    Hayat, T.
    Muhammad, Khursheed
    Farooq, M.
    Alsaedi, A.
    JOURNAL OF MOLECULAR LIQUIDS, 2016, 220 : 216 - 222
12345