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Mathematical modelling of a slow flameless combustion of a two-dimensional paper
We present a mathematical model for the slow combustion (smoldering) of a two-dimensional sheet of paper. We describe the evolution of the char...
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Onset of triply diffusive convection in a power-law fluid saturated porous layer
The linear instability of triply diffusive power-law fluid saturated porous layer is investigated. The modified Darcy’s law and the...
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Apparent Sherwood Number in Mass Transfer with Wall Transpiration
This problem regards the apparent Sherwood number in simultaneous diffusive and convective mass transfer from or into a transpiring wall. This is the...
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Influence of Various Factors on the Flow of a Chemically Reactive Non-Newtonian Fluid in a Plane Channel
A study has been made of the flow of a non-Newtonian polymer medium in a plane channel and of heat transfer in it with boundary conditions of the...
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Analytical and Numerical Accurate Solutions of the Steady Convection-Diffusion in Potential Flow Around a Circular Cylinder Heated with Uniform Heat Flux
The fundamental problem of the steady convection-diffusion in potential flow around a heated circular cylinder with uniform heat flux is solved both...
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Effects of Reynolds number and Schmidt number on variable density mixing in shock bubble interaction
Effects of Reynolds ( Re ) number and Schmidt ( Sc ) number on the flow structures and variable density mixing are numerically investigated through the...
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Non-isothermal thin-film flow of a viscoplastic material over topography: critical Bingham number for a partial slump
AbstractThis paper considers the non-isothermal flow of a viscoplastic fluid on a horizontal or an inclined surface with a flat, a step-up and a...
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Influence of Gravity on Atomic Mobility in a Liquid
Measurements of diffusion and thermodiffusion in liquids are very sensitive to convection caused for example by buoyancy. To reduce the impact of...
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Transient Stokes flow past a spherical droplet with a stagnant cap due to contaminated surfactant layer
In this paper, we consider a viscous droplet migrating in a viscous fluid of a different viscosity. Further, we assume that the surface of the...
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Nonisothermal Channel Flow of a Non-Newtonian Fluid under the Conditions of Chemical Transformations
The processes of hydrodynamics and heat transfer during the flow of a non-Newtonian polymeric medium in a plane channel have been investigated with...
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Heat Transfer of an Electrically Conducting Liquid During the Removal of Heat From the Exterior Surface of a Spherical Layer, at Small Values of the Magnetic Reynolds Number
Results of the numerical modeling of the nonstationary heat transfer and magnetic hydrodynamics of an electrically conducting liquid in a spherical...
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Instability of natural convection in a vertical fluid layer with net horizontal throughflow
The implication of a uniform horizontal throughflow on the linear stability of buoyancy-driven convection in a vertical fluid layer is studied. The...
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Gravitactic Bio-Thermal Convection Oscillates Vertically in a Porous Layer
The onset of stationary convection is examined in a homogeneous suspension of gravitactic micro-swimmers in a thermally stratified porous layer...
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An overstability analysis of vertically vibrated suspension of active swimmers subjected to thermal stratification
The present article focuses on the analytical approach to discuss the thermo–vibrational convection in a suspension of the active (gyrotactic)...
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Thermocapillary migration of a compound drop inside a spherical cavity
This study investigates the thermocapillary migration of a compound drop placed concentrically within a spherical cavity under the limit of vanishing...
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DNS of Nonlinear Electrophoresis
A numerical modelling of electrophoresis of dielectric particle is proposed under low and moderate homogeneous electric fields. As surface charge at...
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Drag Effect on Prats Problem Using Power-Law Saturating Fluid: Convective Instability
The paper focuses on the study of the onset of thermal instability in a horizontal porous layer saturated by power-law fluid and undergoing a...
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Mass Transfer Around Gas Bubbles in Reacting Liquids
Within this project, the mass transfer of single bubbles in an unconfined environment was investigated. Most published works with longer rising paths...
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Settling of two-way momentum and energy coupled particles subject to Boussinesq and non-Boussinesq heating
This work establishes a procedure to accurately compute heat transfer between an Eulerian fluid and Lagrangian point-particles. Recent work has...
