Convection in Magnetic Fluids With Internal Heat Generation

1991 ◽  
Vol 113 (1) ◽  
pp. 122-127 ◽  
Author(s):  
N. Rudraiah ◽  
G. N. Sekhar

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.

2016 ◽  
Vol 12 (6) ◽  
pp. 6270-6285
Author(s):  
Vasudha Satri ◽  
S Pranesh ◽  
Shahnaz Bathul

The effect of gravity modulation (time periodic body force or g-jitter) on the onset of Rayleigh-Bénard convection in a micropolar fluid with internal heat generation is investigated by making a linear stability analysis. The stability of a horizontal layer of fluid heated from below is examined by assuming time periodic body force in the presence of internal heat source. A regular perturbation method is used to arrive at an expression to compute the critical Rayleigh number for small amplitude of modulation and dimensionless internal heat source. The Venezian approach is adopted to obtain the eigen value of the problem. The results obtained during the analysis have been presented graphically.


2002 ◽  
Vol 2002.42 (0) ◽  
pp. 38-39
Author(s):  
Kengo YONEKURA ◽  
Yuji TASAKA ◽  
Yoichi KUDO ◽  
Norihiko TADATA ◽  
Yasushi TAKEDA ◽  
...  

2018 ◽  
Vol 7 (2.15) ◽  
pp. 86
Author(s):  
Nurul Hafizah Zainal Abidin ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Nur Zarifah Abdul Hamid ◽  
Zanariah Abdul Majid

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. 


2003 ◽  
Vol 81 (4) ◽  
pp. 699-703 ◽  
Author(s):  
E MA Elbashbeshy ◽  
M AA Bazid

Heat transfer over a stretching surface with internal heat generation or absorption is examined. The surface is moving with a power-law velocity distribution. The effect of various governing parameters, such as the Prandtl number, the velocity exponent, and the heat-source/sink parameter on the velocity profiles, temperature profiles, and rate of heat transfer are analyzed. PACS No.: 44.20.tb


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