Darcy-Benard double diffusive Marangoni convection in a composite layer system with constant heat source along with non uniform temperature gradients

Manjunatha, N.; Sumithra, R.; Vanishree, R. K.

doi:10.11113/mjfas.v17n1.1984

Cited by 6 publications

(3 citation statements)

References 7 publications

(7 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(Subscripts 'f ' and 'm' represents fluid and porous layers respectively) In the fluid layer (0zd) ... (9) ... (10) ... (11) ...12)…”

Section: Mathematical Analysismentioning

confidence: 99%

Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

Sumithra¹,

Archana²,

Acharya³

2022

jmmf

View full text Add to dashboard Cite

Double diffusive convection is the phenomena that describes the convection driven by two differ-ent densities which have different rates of diffusion. A comparison of two temperature boundaries when i) both the surfaces are set at adiabatic temperature, and ii)upper free surface is adiabatic and lower rigid surface is isothermal cases, on surface tension driven double diffusive convection in a horizontal composite layer is studied analytically using exact method. For both cases i) and ii), the thermal Marangoni number (Tmn) is determined, which is the eigen value, for upper free and lower rigid velocity boundary conditions. The results indicate that the given system is a fluid dominant composite system and adiabatic-isothermal thermal boundary is more stable compare to adiabatic-adiabatic boundary condition.

show abstract

“…(Subscripts 'f ' and 'm' represents fluid and porous layers respectively) In the fluid layer (0zd) ... (9) ... (10) ... (11) ...12)…”

Section: Mathematical Analysismentioning

confidence: 99%

Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

Sumithra¹,

Archana²,

Acharya³

2022

jmmf

View full text Add to dashboard Cite

show abstract

“…Different types of internal heating in a system of two layers configuration were studied by Gangadharaiah [10]. Manjunatha et al [11] and Manjunatha and Sumithra [12][13] discussed constant heat sources in the presence of with and without magnetic field in a two-layer system. Nouri-Borujerdi et al [14] looked at the impact of internal heating in a porous bed using a thermal model.…”

Section: Introductionmentioning

confidence: 99%

Effect of Variable Heat Source and Gravity Variance on the Convection in Porous Layer with Temperature-Dependent Viscosity

Manjunatha

Gangadharaiah²,

Yellamma

et al. 2023

Scientia Iranica

View full text Add to dashboard Cite

The joint influences of variable heat source patterns and temperature-reliant viscosity on the onset of convective motion in porous beds in the presence of gravity variance have been investigated. The linear analysis is performed using normal mode analysis and the Galerkin technique is applied to analyze the impact of variable heating and changeable gravity field on the behavior of system stability. The exponential temperature-dependent viscosity is considered. We examined three different types of heat source and gravity variance function combinations:Convection is accelerated by increases in viscosity and the gravity variance parameter, but decelerated by increases in the heat source strength. It has been shown that the configuration is more stable when the gravity variance and heat source functions are combined in instance (ii), but less stable when they are combined in case (iii).

show abstract

“…Sara et al (2020) investigated the effect of anisotropic permeability on a Darcy type double-diffusive bidisperse porous media. Manjunatha et al (2020) examined double diffusive Marangoni convection for Darcy model and Thermal Marangoni number was determined by solving the ODE's. For porous media in a vertical channel which was subjected to heat, Yen-Cho Chen (2004) examined the linear stability analysis of mixed convection.…”

mentioning

confidence: 99%

Two Component Non-Darcian Benard Marangoni Convection with Uniform and Non-Uniform Temperature Gradients in a Composite Layer with Variable Heat Sources/Sinks

Sumithra¹,

Acharya²,

Archana³

2022

jmmf

View full text Add to dashboard Cite

In a composite layer that comprises of a porous layer which is sparsely packed and saturated with two component incompressible fluid and above this porous layer lays a layer of the same fluid, with variable heat sources or sinks in both the layers double diffusive non-Darcian Benard Marangoni (DDNBM) convection is investigated. The upper surface of the composite layer has Marangoni effects which depend on temperature and concentration, whereas the lower surface is rigid. The inverted parabolic, parabolic and linear temperature profile is applied to this composite layer, which is surrounded by adiabatic boundaries. The appropriate thermal Marangoni numbers (TMANs) which are the eigen values (EVs) are calculated for all the three temperature gradients. The impact of different parameters on the EVs with respect to depth ratio is examined, thoroughly. The parameters that effect DDNBM convection are found.

show abstract

Darcy-Benard double diffusive Marangoni convection in a composite layer system with constant heat source along with non uniform temperature gradients

Cited by 6 publications

References 7 publications

Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

Two Component Benard-Marangoni Convection in a Composite System Subjected to Variable Heat Source

Effect of Variable Heat Source and Gravity Variance on the Convection in Porous Layer with Temperature-Dependent Viscosity

Two Component Non-Darcian Benard Marangoni Convection with Uniform and Non-Uniform Temperature Gradients in a Composite Layer with Variable Heat Sources/Sinks

Contact Info

Product

Resources

About