Electrohydrodynamic instability in a horizontal viscoelastic fluid layer in the presence of internal heat generation

2002 ◽  
Vol 80 (6) ◽  
pp. 697-705 ◽  
Author(s):  
M IA Othman ◽  
N H Sweilam
Keyword(s):  
Viscoelastic Fluid ◽  
Heat Generation ◽  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Linear Stability Theory ◽  
Wave Number ◽  
Power Series Method ◽  
Ac Electric Field ◽  
The Stability

Linear stability theory is applied to examine the effect of a vertical ac electric field on the stability of natural convection, which occurs in a dielectric viscoelastic fluid (Walters' liquid B' ) between two parallel horizontal plates with internal heat generation. The power-series method is used to obtain the eigenvalue equation, which is then solved numerically. Critical heat Rayleigh numbers and the critical wave number for the onset of instability are presented graphically as functions of the electric Rayleigh number for various values of the Prandtl number. PACS No.: 47.15Fe

Convection in Magnetic Fluids With Internal Heat Generation

1991 ◽  
Vol 113 (1) ◽  
pp. 122-127 ◽  
Author(s):  
N. Rudraiah ◽  
G. N. Sekhar
Keyword(s):  
Heat Source ◽  
Uniform Distribution ◽  
Heat Generation ◽  
Magnetic Fluid ◽  
Fluid Layer ◽  
Internal Heat ◽  
Magnetic Fluids ◽  
Internal Heat Generation ◽  
Stationary Convection ◽  
Expansion Technique

The effect of a uniform distribution of heat source on the onset of stationary convection in a horizontal Boussinesq magnetic fluid layer bounded by isothermal nonmagnetic boundaries is investigated. Solutions are obtained using a higher order Galerkin expansion technique, considering different isothermal boundary combinations (rigid-rigid, rigid-free, and free-free). It is found that the effect of internal magnetic number, due to a heat source, is to make the system more unstable. The results obtained, in the limiting cases, compare well with the existing literature.

Natural Convection in the Horizontal Fluid Layer driven by Internal Heat Generation : 2. Flow Visualization

2002 ◽  
Vol 2002.42 (0) ◽  
pp. 38-39
Author(s):  
Kengo YONEKURA ◽  
Yuji TASAKA ◽  
Yoichi KUDO ◽  
Norihiko TADATA ◽  
Yasushi TAKEDA ◽  
...  
Keyword(s):  
Natural Convection ◽  
Flow Visualization ◽  
Heat Generation ◽  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Horizontal Fluid Layer

scholarly journals Surface deformation on thermocapillary convection in a binary fluid with internal heat generation and temperature dependent viscosity

2018 ◽  
Vol 7 (2.15) ◽  
pp. 86
Author(s):  
Nurul Hafizah Zainal Abidin ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Nur Zarifah Abdul Hamid ◽  
Zanariah Abdul Majid
Keyword(s):  
Heat Generation ◽  
Thermocapillary Convection ◽  
Surface Deformation ◽  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Binary Fluid ◽  
Dependent Viscosity

The effects of temperature dependent viscosity and internal heat generation on the onset of steady Bénard-Marangoni convection in a horizontal binary fluid layer heated from below is investigated theoretically. The upper free surface is assumed to be deformable and the lower boundary is considered to be rigid and perfectly insulated to temperature perturbations. The asymptotic solution of the long wavelength is obtained using regular perturbation method with wave number as a perturbation parameter. It is found that the surface deformation of a binary fluid layer enhances the onset of thermocapillary convection while increasing the value of internal heat generation and temperature dependent viscosity will destabilize the binary fluid layer system. 

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