Exploration of Darcy–Forchheimer Flows of Non-Newtonian Casson and Williamson Conveying Tiny Particles Experiencing Binary Chemical Reaction and Thermal Radiation: Comparative Analysis
Open Access
- 20 June 2022
- journal article
- research article
- Published by MDPI AG in Mathematical and Computational Applications
- Vol. 27 (3), 52
- https://doi.org/10.3390/mca27030052
Abstract
This discussion intends to scrutinize the Darcy–Forchheimer flow of Casson–Williamson nanofluid in a stretching surface with non-linear thermal radiation, suction and heat consumption. In addition, this investigation assimilates the influence of the Brownian motion, thermophoresis, activation energy and binary chemical reaction effects. Cattaneo–Christov heat-mass flux theory is used to frame the energy and nanoparticle concentration equations. The suitable transformation is used to remodel the governing PDE model into an ODE model. The remodeled flow problems are numerically solved via the BVP4C scheme. The effects of various material characteristics on nanofluid velocity, nanofluid temperature and nanofluid concentration, as well as connected engineering aspects such as drag force, heat, and mass transfer gradients, are also calculated and displayed through tables, charts and figures. It is noticed that the nanofluid velocity upsurges when improving the quantity of Richardson number, and it downfalls for larger magnitudes of magnetic field and porosity parameters. The nanofluid temperature grows when enhancing the radiation parameter and Eckert number. The nanoparticle concentration upgrades for larger values of activation energy parameter while it slumps against the reaction rate parameter. The surface shear stress for the Williamson nanofluid is greater than the Casson nanofluid. There are more heat transfer gradient losses the greater the heat generation/absorption parameter and Eckert number. In addition, the local Sherwood number grows when strengthening the Forchheimer number and fitted rate parameter.Keywords
This publication has 46 references indexed in Scilit:
- Heat and mass transfer in 3-D MHD Williamson-Casson fluids flow over a stretching surface with non-uniform heat source/sinkThermal Science, 2019
- Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effectsAlexandria Engineering Journal, 2018
- Influence of chemical reaction and heat source on dissipative MHD mixed convection flow of a Casson nanofluid over a nonlinear permeable stretching sheetInternational Journal of Heat and Mass Transfer, 2017
- The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical ReactionMathematical Problems in Engineering, 2017
- Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energyInternational Journal of Heat and Mass Transfer, 2017
- Numerical Study of Entropy Generation with Nonlinear Thermal Radiation on Magnetohydrodynamics non-Newtonian Nanofluid Through a Porous Shrinking SheetJournal of Magnetics, 2016
- MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heatJournal of Molecular Liquids, 2016
- Dual solutions for stagnation-point flow and convective heat transfer of a Williamson nanofluid past a stretching/shrinking sheetHeat and Mass Transfer, 2015
- Effect of uniform suction on nanofluid flow and heat transfer over a cylinderJournal of the Brazilian Society of Mechanical Sciences and Engineering, 2014
- Flow and heat transfer analysis of Williamson nanofluidApplied Nanoscience, 2013