Non-Newtonian fluids have variable viscosity in response to shear rate,and the presence of polymers and nanoparticles further modifies their flow characteristics.In this paper,the effects of polymers and nanoparticles...Non-Newtonian fluids have variable viscosity in response to shear rate,and the presence of polymers and nanoparticles further modifies their flow characteristics.In this paper,the effects of polymers and nanoparticles on mass and heat transfer control,drag reduction,boundary layer flow development in a polymeric finitely extensible nonlinear elastic-Peterlin(FENE-P)fluid,and the significance of nanoscience in modern day life are discussed.We examine the behavior of polymer additives by utilizing a dispersion model in conjunction with the polymeric FENE-P model.Our work includes a comparison with Cortell's earlier work,which only looked at the behavior of polymer’s inclusion into the base fluid.This research investigates numerically how the inclusion of polymers and nanoparticles into the base fluid reduces drag while increasing heat and mass transfer.The observed variations in skin friction,reduced Nusselt,and Sherwood numbers indicate an intriguing correlation between the rates of heat and mass transport and surface drag.More precisely,as the heat and mass transfer efficiency improve,the surface encounters less resistance,which is commonly referred to as drag.In summary,the research highlights the capability of polymers and nanoparticles to effectively modify fluid dynamics,minimize drag,and enhance mass and heat transfer inside the flow region.展开更多
The application of mathematical modeling to biological fluids is of utmost importance, as it has diverse applicationsin medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flo...The application of mathematical modeling to biological fluids is of utmost importance, as it has diverse applicationsin medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. In thispaper, we present a theoretical investigation of the double diffusion convection in the peristaltic transport of aPrandtl nanofluid through an asymmetric tapered channel under the combined action of thermal radiation andan induced magnetic field. The equations for the current flow scenario are developed, incorporating relevantassumptions, and considering the effect of viscous dissipation. The impact of thermal radiation and doublediffusion on public health is of particular interest. For instance, infrared radiation techniques have been used totreat various skin-related diseases and can also be employed as a measure of thermotherapy for some bones toenhance blood circulation, with radiation increasing blood flow by approximately 80%. To solve the governingequations, we employ a numerical method with the aid of symbolic software such as Mathematica and MATLAB.The velocity, magnetic force function, pressure rise, temperature, solute (species) concentration, and nanoparticlevolume fraction profiles are analytically derived and graphically displayed. The results outcomes are compared withthe findings of limiting situations for verification.展开更多
文摘Non-Newtonian fluids have variable viscosity in response to shear rate,and the presence of polymers and nanoparticles further modifies their flow characteristics.In this paper,the effects of polymers and nanoparticles on mass and heat transfer control,drag reduction,boundary layer flow development in a polymeric finitely extensible nonlinear elastic-Peterlin(FENE-P)fluid,and the significance of nanoscience in modern day life are discussed.We examine the behavior of polymer additives by utilizing a dispersion model in conjunction with the polymeric FENE-P model.Our work includes a comparison with Cortell's earlier work,which only looked at the behavior of polymer’s inclusion into the base fluid.This research investigates numerically how the inclusion of polymers and nanoparticles into the base fluid reduces drag while increasing heat and mass transfer.The observed variations in skin friction,reduced Nusselt,and Sherwood numbers indicate an intriguing correlation between the rates of heat and mass transport and surface drag.More precisely,as the heat and mass transfer efficiency improve,the surface encounters less resistance,which is commonly referred to as drag.In summary,the research highlights the capability of polymers and nanoparticles to effectively modify fluid dynamics,minimize drag,and enhance mass and heat transfer inside the flow region.
基金Institutional Fund Projects under No.(IFP-A-2022-2-5-24)by Ministry of Education and University of Hafr Al Batin,Saudi Arabia.
文摘The application of mathematical modeling to biological fluids is of utmost importance, as it has diverse applicationsin medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. In thispaper, we present a theoretical investigation of the double diffusion convection in the peristaltic transport of aPrandtl nanofluid through an asymmetric tapered channel under the combined action of thermal radiation andan induced magnetic field. The equations for the current flow scenario are developed, incorporating relevantassumptions, and considering the effect of viscous dissipation. The impact of thermal radiation and doublediffusion on public health is of particular interest. For instance, infrared radiation techniques have been used totreat various skin-related diseases and can also be employed as a measure of thermotherapy for some bones toenhance blood circulation, with radiation increasing blood flow by approximately 80%. To solve the governingequations, we employ a numerical method with the aid of symbolic software such as Mathematica and MATLAB.The velocity, magnetic force function, pressure rise, temperature, solute (species) concentration, and nanoparticlevolume fraction profiles are analytically derived and graphically displayed. The results outcomes are compared withthe findings of limiting situations for verification.
