Darcy-Forchheimer nanofluidic flow manifested with Cattaneo-Christov theory of heat and mass flux over non-linearly stretching surface

• Published in: PloS one Vol. 14; no. 8; p. e0221302
• Main Authors: Rasool, Ghulam, Zhang, Ting
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 20.08.2019; Public Library of Science (PLoS)
• Subjects: Analysis; Applied mathematics; Boundary layers; Boundary layers (Fluid dynamics); Chemical reactions; Computational fluid dynamics; Computer and Information Sciences; Computer simulation; Conduction; Conduction heating; Convection; Declination; Differential equations; Elasticity; Engineering and Technology; Flow; Fluctuations; Fluid; Fluid dynamics; Fluid flow; Fluidics; Fluids; Fourier law; Graphene; Heat; Heat conductivity; Heat flux; Heat transfer; Hot Temperature; Incompressible flow; Magnetic effects; Mass flux; Mathematical models; Microfluidics; Microorganisms; Nanofluids; Nanoparticles; Nonlinear Dynamics; Nonlinear equations; Nonlinear systems; Numerical analysis; Ordinary differential equations; Physical Sciences; Porosity; Porous media; Stretching; Temperature; Temperature distribution; Temperature effects; Temperature profiles; Thermal boundary layer; Thermal Conductivity; Thin films; Velocity; Velocity distribution; Viscoelasticity; Viscosity; China
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0221302

This research article aims to disclose the features of nanofluidic flow manifested with Cattaneo-Christov model of heat and mass flux over non-linearly stretching surface. An incompressible visco-elastic nanofluid saturates the given porous medium through Darcy-Forchheimer relation. A non-uniformly induced magnetic effect is considered to accentuate the electro-magnetic and thermal conductivity of the base fluid. The model is restricted to small magnetic Reynolds. Boundary layer assumptions are incorporated for the given flow model. Governing equations are remodeled into non-linear ordinary differential equations through transformations. So formulated nonlinear system is solved through homotopy analysis method (HAM) to achieve series solutions for velocity field, concentration of nanoparticles and temperature distribution. It is noticed that the temperature distribution and corresponding thermal boundary layer pattern shows declination for Cattaneo-Christov model of heat and mass flux as compared to classical Fourier's law of heat flux/conduction. Furthermore, the intensive resistance offered by the addition of porosity factor in the flow model results in rise of temperature profile, however, opposite behavior is noticed in concentration of nanoparticles. The wall-drag intensity, the heat flux and the mass flux are discussed on the premise of numerical information obtained upon simulation of the problem.