Results 61 to 70 of about 52,350 (200)

The upper–lower solution method for the coupled system of first order nonlinear PDEs

Journal of Mathematical Analysis and Applications, 2013
Abstract This paper is concerned with a coupled system of first order nonlinear partial differential equations. This system is, but not limited in, the extended case of the general blood–tissue exchange model (BTEX). We use the solutions of a coupled system of first order ordinary differential equations to construct a pair of ordered lower and upper ...
Guo-Chin Jau, Yu-Hsien Chang
openaire   +1 more source

Dissipative Heat Impact on the Non‐Newtonian Walter's B Nanoliquid Over an Elongating Surface Through a Permeable Medium

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The utilisation of viscoelastic Walter's B nanoliquid in engineering and biomedical applications gained substantial attention because of its ability to provide real‐time fluid behaviour, particularly in the heat flow mechanism. In particular, the flow of viscoelastic fluid over an elongating surface is useful in polymer processing and ...
Laxmipriya Swain, Subhajit Panda, S. R. Mishra, Rupa Baithalu   +3 more
wiley   +1 more source

Some symmetry classifications of hyperbolic vector evolution equations

, 2005
Motivated by recent work on integrable flows of curves and 1+1 dimensional sigma models, several O(N)-invariant classes of hyperbolic equations $u_{tx} =f(u,u_t,u_x)$ for an $N$-component vector $u(t,x)$ are considered.
Habibullin I T, Sanders J A, Sharpe R W, Sokolov V V   +3 more
core   +3 more sources

Bioconvection Darcy–Forchheimer Flow of Ree‐Eyring Nanofluid Over a Riga Plate With Arrhenius Activation Energy and Viscous Dissipation

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This work examines the intricate interactions of heat radiation, viscous dissipation, the Cattaneo–Christov thermal model, gyrotactic microorganisms, Arrhenius activation energy, and Darcy–Forchheimer flow affecting Ree‐Eyring nanofluid behavior across a Riga plate.
M. Vinodkumar Reddy, V. Sivaramakrishna, Jintu Mani Nath, V. V. L. Deepthi, Bamdeb Dey   +4 more
wiley   +1 more source

Simultaneous solutions for first order and second order slips on micropolar fluid flow across a convective surface in the presence of Lorentz force and variable heat source/sink

Scientific Reports, 2019
This report presents the flow and heat transfer characteristics of MHD micropolar fluid due to the stretching of a surface with second order velocity slip. The influence of nonlinear radiation and irregular heat source/sink are anticipated.
K. Anantha Kumar, V. Sugunamma, N. Sandeep, M. T. Mustafa   +3 more
doaj   +1 more source

Permeation of Toluene into (Polypropylene/Acrylonitrile-co-butadiene Rubber) immiscible blend [PDF]

MATEC Web of Conferences, 2019
This study examines the unsteady permeation process of a solvent through a mixture of two immiscible polymers with a complex dividing interface. The mathematical model consists of three nonlinear PDEs that incorporate the coupling arising between mass ...
Hairch Y., El Afif A.
doaj   +1 more source

Wave Solutions

, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core   +1 more source

Bioconvective Chemically Reactive Radiative Squeezing Flow of a Casson Hybrid Nanofluid Between Two Parallel Plates Under Variable Viscosity

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool, Dur‐e‐Shehwar Sagheer, Muhammad Sabeel Khan, Hassan Shahzad   +3 more
wiley   +1 more source

Practically finite-time H∞ deployment of large-scale multi-agent systems with sequence-dependent switching topology: a fuzzy PDE-based approach

Automatika
In this paper, for large-scale nonlinear first-order and second-order multi-agent systems (MASs) with external disturbance, the practically finite-time [Formula: see text] deployment (PFTHD) problem is studied via the approach based on partial ...
Pengbin Wei, Pengwei Cui, Rongsheng Liu, Guanghua Nie   +3 more
doaj   +1 more source

Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz, Umair Khan, MD. Shamshuddin, Nermeen Abdullah, Samia Elattar   +4 more
wiley   +1 more source