Thermal convection with the Cattaneo-Christov model

被引：324
|
作者：
Straughan, B. [1 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2010年 / 53卷 / 1-3期
关键词：
Thermal convection; Cattaneo theory of hear propagation; Christov heat flux equation; Oscillatory convection; NONCLASSICAL HEAT-CONDUCTION; DIPOLAR FLUID; 1ST PROBLEM; STOKES; 1ST; TEMPERATURE; STABILITY;
D O I：
10.1016/j.ijheatmasstransfer.2009.10.001
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
We consider the problem of thermal convection in a horizontal layer of incompressible Newtonian fluid with gravity acting downward. The constitutive equation for the heat flux is taken to be one of Cattaneo type. Since we are considering a fluid one has to be careful with the choice of objective derivative for the rate of change of the heat flux. Here we employ a recent model due to Professor C. Christov. The thermal relaxation effect is found to be significant if the Cattaneo number is sufficiently large, and the convection mechanism switches from stationary convection to oscillatory convection with narrower cells. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：95 / 98
页数：4
相关论文
共 50 条
  • [41] A uniqueness result for the Cattaneo-Christov heat conduction model applied to incompressible fluids
    Tibullo, V.
    Zampoli, V.
    MECHANICS RESEARCH COMMUNICATIONS, 2011, 38 (01) : 77 - 79
  • [42] A note on classical Graetz problem based on Cattaneo-Christov heat flux model
    Ali, Nasir
    Khan, Muhammad Waris Saeed
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (04):
  • [43] Hybrid dusty fluid flow through a Cattaneo-Christov heat flux model
    Reddy, M. Gnaneswara
    Rani, M. V. V. N. L. Sudha
    Kumar, K. Ganesh
    Prasannakumar, B. C.
    Lokesh, H. J.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 551
  • [44] Impact of stratifications and chemical reaction on convection of a non-Newtonian fluid in a Riga plate with thermal radiation and Cattaneo-Christov flux
    Mallawi, F. O. M.
    Eswaramoorthi, S.
    Sivasankaran, S.
    Bhuvaneswari, M.
    JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2022, 147 (11) : 6519 - 6535
  • [45] Model and Comparative Study for Flow of Viscoelastic Nanofluids with Cattaneo-Christov Double Diffusion
    Hayat, Tasawar
    Aziz, Arsalan
    Muhammad, Taseer
    Alsaedi, Ahmed
    PLOS ONE, 2017, 12 (01):
  • [46] CATTANEO-CHRISTOV HEAT FLUX MODEL FOR SQUEEZED FLOW OF THIRD GRADE FLUID
    Shafiq, Anum
    Jabeen, Sumaira
    Hayat, T.
    Alsaedi, A.
    SURFACE REVIEW AND LETTERS, 2017, 24 (07)
  • [47] Impact of stratifications and chemical reaction on convection of a non-Newtonian fluid in a Riga plate with thermal radiation and Cattaneo-Christov flux
    F. O. M. Mallawi
    S. Eswaramoorthi
    S. Sivasankaran
    M. Bhuvaneswari
    Journal of Thermal Analysis and Calorimetry, 2022, 147 : 6519 - 6535
  • [48] Effect of Cattaneo-Christov heat flux on Jeffrey fluid flow with variable thermal conductivity
    Hayat, Tasawar
    Javed, Mehwish
    Imtiaz, Maria
    Alsaedi, Ahmed
    RESULTS IN PHYSICS, 2018, 8 : 341 - 351
  • [49] Darcy-Forchheimer flow with variable thermal conductivity and Cattaneo-Christov heat flux
    Hayat, T.
    Muhammad, Taseer
    Al-Mezal, Saleh
    Liao, S. J.
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2016, 26 (08) : 2355 - 2369
  • [50] Double diffusion thermal exploration of Cross nanomaterial due to moving surface with sinusoidal waves: Cattaneo-Christov model
    Sowayan, Ahmed S. S.
    Al-Khaled, Kamel
    Aziz, Samaira
    Smida, Kamel
    Ahmad, Iftikhar
    Khan, Sami Ullah
    Panchal, Hitesh
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (10):
12345