The Effect of Spatially Nonuniform Internal Heating on the Onset of Convection in a Horizontal Fluid Layer

2016 ◽  
Vol 138 (6) ◽  
Author(s):  
A. V. Kuznetsov ◽  
D. A. Nield
Keyword(s):  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Source Strength ◽  
Linear Quadratic ◽  
Internal Heating ◽  
Onset Of Convection ◽  
Special Cases ◽  
Basic Temperature ◽  
Horizontal Fluid Layer

In this paper, we investigated the onset of natural convection in a horizontal fluid layer due to nonuniform internal heat generation, which is relevant to a number of geophysical situations. We investigated a number of special cases, which we believe are paradigmatic. Those include linear, quadratic, concentrated, and exponential source strength distributions. Our results show that those situations that lead to a reduction/increase in the size of the region in which the basic temperature gradient is destabilizing lead to an increase/decrease in stability.

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

Natural Convection in the Horizontal Fluid Layer driven by Internal Heat Generation : 1. Stability Analysis

2002 ◽  
Vol 2002.42 (0) ◽  
pp. 36-37
Author(s):  
Yuji TASAKA ◽  
Kengo YONEKURA ◽  
Yoichi KUDO ◽  
Norihiko TADATA ◽  
Yasushi TAKEDA ◽  
...  
Keyword(s):  
Natural Convection ◽  
Stability Analysis ◽  
Heat Generation ◽  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Horizontal Fluid Layer

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.

scholarly journals Penetrative convection in a fluid saturated Darcy-Brinkman porous media with LTNE via internal heat source

2019 ◽  
Vol 8 (1) ◽  
pp. 546-558 ◽  
Author(s):  
Amit Mahajan ◽  
Reena Nandal
Keyword(s):  
Porous Media ◽  
Heat Generation ◽  
Fluid Layer ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Heat Extraction ◽  
Graphical Form ◽  
Nonlinear Stability Analysis ◽  
Penetrative Convection ◽  
Onset Of Convection

Abstract The present work involves the study of penetrative convection in an incompressible fluid-saturated porous media with local thermal non-equilibrium. The onset of convection evaluated linearly and nonlinearly for the system influenced by heat extraction and heat generation. Darcy-Brinkman law is employed to model the momentum equation and four type of internal heat generating function are considered which leads to thermo-convective instability within the fluid layer. Linear analysis carried out by using normal mode technique and nonlinear stability analysis has been done by energy method. Due to heat generation within the fluid layer and heat extraction through boundary, the subcritical instability may exist with higher possibility. Effects of various parameters as: inter-phase heat transfer parameter, Darcy-Brinkman number, porosity-modified conductivity ratio, and heat parameter are explored on Darcy-Rayleigh number by Chebyshev pseudospectral method as numerical form and graphical form.

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