Investigation of Marangoni bio‐thermal convection in layers of nanofluid with gyrotactic microorganisms

Marangoni bio‐thermal convection in a layer of nanofluid with gyrotactic microorganisms is investigated. The motion of the nanoparticles is characterized by the effects of thermophoresis and Brownian diffusion. The lower boundary of the nanofluid layer is assumed to be a rigid surface at constant te...

Full description

Saved in:
Bibliographic Details
Published inZeitschrift für angewandte Mathematik und Mechanik Vol. 102; no. 8
Main Authors Khayyat, Latifa Ishaq, Abdullah, Abdullah Ahmad
Format Journal Article
LanguageEnglish
Published Weinheim Wiley Subscription Services, Inc 01.08.2022
Subjects
Chebyshev approximation
Copper oxides
Diffusion layers
Distilled water
Eigenvalues
Formability
Free convection
Free surfaces
Microorganisms
Nanofluids
Nanoparticles
Physical properties
Spectral methods
Stability analysis
Surface stability
Thermophoresis
Online AccessGet full text

Cover

More Information
Summary:Marangoni bio‐thermal convection in a layer of nanofluid with gyrotactic microorganisms is investigated. The motion of the nanoparticles is characterized by the effects of thermophoresis and Brownian diffusion. The lower boundary of the nanofluid layer is assumed to be a rigid surface at constant temperature and the upper boundary is assumed to be a non‐deformable free surface. The stability of the layer is analysed numerically using a Chebyshev spectral method. Two types of nanofluids are studied, namely distilled water/alumina and distilled water/cupric oxide. The physical properties of these nanofluids are modelled by constitutive expressions developed by Hamilton and Crosser, Brinkman and Khanafer and Vafai. Stability boundaries are obtained for appropriate values of the parameters of the problem. The critical eigenvalues are complex‐valued, which indicates that the onset of instability is via an oscillatory mode. Marangoni bio‐thermal convection in a layer of nanofluid with gyrotactic microorganisms is investigated. The motion of the nanoparticles is characterized by the effects of thermophoresis and Brownian diffusion. The lower boundary of the nanofluid layer is assumed to be a rigid surface at constant temperature and the upper boundary is assumed to be a non‐deformable free surface. The stability of the layer is analysed numerically using a Chebyshev spectral method.…
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.202100512