Natural convection in a rectangular cavity bounded by porous lining
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D. R. Sasi Rekha
Abstract
The study analytically investigates the natural convectionconvection occurring due to the combined effects of concentrationconcentration and temperaturetemperature and buoyancy within a rectangular cavityrectangular cavity featuring uniform massmass and heatheat flow along the verticalvertical sides lined with porous material. The Beavers–JosephBeavers–Joseph (BJBJ) condition is applied at the interface of the porous fluid. Numerous applications use porous liningporous linings, including heatheat exchangers, insulation, solar-energy collection and storage, furnaces, and electronic heatheat management. The analytical method is accurate within the boundary layerboundary layer domain, where convectionconvection plays a role in both heatheat and massmass transfertransfer rates. A linearized OseenOseen solution is formulated for a long rectangular cavityrectangular cavity filled with a mixture characterized by a Lewis numberLewis number,
Abstract
The study analytically investigates the natural convectionconvection occurring due to the combined effects of concentrationconcentration and temperaturetemperature and buoyancy within a rectangular cavityrectangular cavity featuring uniform massmass and heatheat flow along the verticalvertical sides lined with porous material. The Beavers–JosephBeavers–Joseph (BJBJ) condition is applied at the interface of the porous fluid. Numerous applications use porous liningporous linings, including heatheat exchangers, insulation, solar-energy collection and storage, furnaces, and electronic heatheat management. The analytical method is accurate within the boundary layerboundary layer domain, where convectionconvection plays a role in both heatheat and massmass transfertransfer rates. A linearized OseenOseen solution is formulated for a long rectangular cavityrectangular cavity filled with a mixture characterized by a Lewis numberLewis number,
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Love wave propagation in layered piezoelectric structures for sensor-based applications 1
- A safe-ML model for assessing head loss in a subject-specific human femoral arterial network 11
- Fluid dynamics of transportation of viscoelastic fluids through inclined circular cylindrical tubes and its application in biological systems 31
- Numerical computation of Crane-type MHD Casson (blood type) stagnation point fluid flow past a stretching sheet 45
- Bioconvective MHD Casson fluid flow with motile microorganisms on a moving flat plate embedded in a porous medium 59
- Stability analysis of convection in rotating fluid layers with triple diffusion 73
- Groundwater contamination in heterogeneous semi-infinite aquifers for 1-D flow 85
- Convection in the boundary layer with uniform heat flux from a rectangular cavity’s side walls enclosed by porous lining 99
- Natural convection in a rectangular cavity bounded by porous lining 113
- Analysis of delayed mosquito life-cycle model 127
- Reflection and transmission of plane waves between two initially stressed rotating nonlocal orthotropic microstretch thermoelastic half-spaces with imperfect interface 137
- Nonlocal thermoelasticity of Klein–Gordon type: constitutive modelling in a piezoelectric microbeam resonator with memory effect 159
- Mathematical perspectives on biomechanical signal processing 179
- Numerical simulation of thermal performance in a hybrid nanofluid filled chamber with a heat producing element 221
- Non-Darcian flow of bioconvective viscoelastic fluid in a convectively heated elongating surface with variable heat source and energy activation 239
- Finite element analysis of biological systems 255
- Numerical analysis of free convective heat-transfer characteristics of a non-Newtonian (Casson) fluid in a heated permeable cavity under the effects of thermal radiation 279
- Graph-theoretical insights into resting-state EEG: a mathematical approach to psychiatric disorder analysis 289
- Index 317
