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Numerical Analysis of MHD Nanofluid Flow Characteristics with Heat and Mass Transfer over a Vertical Cone Subjected to Thermal Radiations and Chemical Reaction
Nanoparticles have the ability to increase the impact of convective heat transfer in the boundary layer region. An investigation is made to analysis...
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Numerical Study of Crystal Growth in Reaction-Diffusion Systems Using Front Tracking
We study the crystal growth in a Reaction-Diffusion System for the generic reaction A + B → C. Reactants A and B react to form the product C which...
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Solitary Wave Propagation of the Generalized Kuramoto-Sivashinsky Equation in Fragmented Porous Media
This paper presents a localized meshless approach based on the radial basis function-finite difference (RBF-FD) to find the approximation solution of...
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Diffusion
A common example of diffusion is given by the heat conduction in a solid body. Conduction comes from molecular collision, transferring heat by...
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Probability density function (PDF) models for particle transport in porous media
Mathematical models based on probability density functions (PDF) have been extensively used in hydrology and subsurface flow problems, to describe...
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Entropy Generation in Magnetohydrodynamics Flow of Hybrid Casson Nanofluid in Porous Channel: Lie Group Analysis
The choice of thermoliquids plays an important role in enhancing the thermal efficiency. The primary aim of this study is to quantify the amount of...
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Lattice Boltzmann Simulation of Flow, Transport, and Reactions in Battery Components
Microstructures of battery components largely affect electrochemical properties of the whole battery cell. In this context, especially physical...
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Optimal control of time-fractional convection–diffusion–reaction problem employing compact integrated RBF method
Optimal control has always been investigated for various systems in order to optimize them. It has also been considered as well within...
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A new family of expanded mixed finite element methods for reaction–diffusion equations
A new family of expanded mixed finite element methods is constructed for solving the reaction–diffusion equations. Compared with the traditional...
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Pattern Formation in a Reaction–Diffusion System with Time-Fractional Derivatives
AbstractIn this paper possible scenarios of pattern formation in nonlinear media with diffusion and differential operators of a noninteger order are...
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Generalizing the Infectious Disease Model to Account for Sorption Therapy in Conditions of Diffusion Disorders
A mathematical model of the dynamics of a viral infection under the conditions of adsorption therapy, taking into account diffusion perturbations,...
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Diffusion of Electron Density in Dye-Sensitized Solar Cells
Dye-sensitized solar cells (DSSCs) are an alternative low-cost solution to the renewable energy problem due to the use of TiO2 as a semiconductor....
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On monotone traveling waves for Nicholson’s blowflies equation with degenerate P-Laplacian diffusion
We study the existence and stability of monotone traveling wave solutions of Nicholson’s blowflies equation with degenerate p -Laplacian diffusion. We...
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Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation
We prove the wellposedness of a distributed-order space-fractional diffusion equation with variably distribution and its support, which could...
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Oscillatory modes on the onset of electrohydrodynamic instability in Maxwellian nanofluid saturated anisotropic porous layer
This paper deals with the onset of oscillatory convection in a rheological nanofluid saturating anisotropic porous layer in the presence of a...
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Tracer Dispersion due to Pulsatile Casson Fluid Flow in a Circular Tube with Chemical Reaction Modulated by Externally Applied Electromagnetic Fields
The present article describes a detailed mathematical investigation of electro-magneto-hydrodynamic dispersion in the pulsatile flow of a Casson...
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Analytical assessments to model a flame propagation with a porous medium equation
The intention along this study is to provide an analytical approach to model a flame propagation formulated with a non-linear diffusion. The proposed...
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Natural Convection Non-Newtonian EMHD Dissipative Flow Through a Microchannel Containing a Non-Darcy Porous Medium: Homotopy Perturbation Method Study
Non-Newtonian thermal processing in microchannel systems, is emerging as a major area of interest in modern thermal engineering. Motivated by these...
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Generalizing the Infectious Disease Model Taking Into Account Diffusion Perturbations, Logistic Dynamics, and Biostimulation
A mathematical model of biinfection is generalized for the conditions of concentrated automated control, taking into account diffusion perturbations,...