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.

Variable Viscosity Effects on Penetrative Convection in a Fluid Layer

2017 ◽  
Vol 13 (3) ◽  
pp. 51-65
Author(s):  
Gangadharaiah Y H
Keyword(s):  
Surface Deformation ◽  
Variable Viscosity ◽  
Fluid Layer ◽  
Perturbation Technique ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Decisive Role ◽  
Wave Number ◽  
Regular Perturbation ◽  
Penetrative Convection

The effect of variable viscosity on the onset of penetrative convection simulated via internal heating in a fluid layer. The upper surface of a fluid layer is assumed to be deformably free and dependence of viscosity is assumed to be exponential. The resulting eigen value problem is solved using a regular perturbation technique with wave number a as a perturbation parameter. The viscosity parameter, surface deformation and the presence of internal heat source play a decisive role on the stability characteristics of the system.

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.

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.

scholarly journals Chaotic Convection in a Ferrofluid with Internal Heat Generation

CFD letters ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 62-74
Author(s):  
Nor Halawati Senin ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Mohamad Hasan Abdul Sathar
Keyword(s):  
Heat Generation ◽  
Mathematical Formulation ◽  
Internal Heat ◽  
Boussinesq Approximation ◽  
Internal Heat Generation ◽  
Lorenz Attractor ◽  
Nonlinear Stability Analysis ◽  
Layer System ◽  
Chaotic Convection ◽  
The Impact

The nonlinear stability analysis of a ferrofluid layer system is formulated mathematically. This system considered the upper and lower free isothermal boundary with the system heated from below. A mathematical formulation is produced to study the behaviour of the chaotic convection in a ferrofluid layer system using Galerkin truncated expansion. The Boussinesq approximation is opted with the existence of internal heating and the magnetic number. It is found that the transition to chaos in this present study is identical to the Lorenz attractor and thus validate the method and analysis of this study. The impact of elevating the internal heat generation is found to hasten the instability of the system and as for the magnetic number, at M1 = 2.5 the homoclinic bifurcation occurs and thus accelerates the convection process.

Investigation of Heat Transfer and Pressure Drop in a Porous Media with Internal Heat Generation

2021 ◽  
Author(s):  
Osama Hassan Hassan ◽  
Gamal Ibrahim Sultan ◽  
Ahmed Abdelsalam Hegazy ◽  
Mohamed Nabil Sabry
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Pressure Drop ◽  
Heat Generation ◽  
Internal Heat ◽  
Internal Heat Generation
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