In many industrial applications,heat transfer and tangent hyperbolic fluid flow processes have been garnering increasing attention,owing to their immense importance in technology,engineering,and science.These processe...In many industrial applications,heat transfer and tangent hyperbolic fluid flow processes have been garnering increasing attention,owing to their immense importance in technology,engineering,and science.These processes are relevant for polymer solutions,porous industrial materials,ceramic processing,oil recovery,and fluid beds.The present tangent hyperbolic fluid flow and heat transfer model accurately predicts the shear-thinning phenomenon and describes the blood flow characteristics.Therefore,the entropy production analysis of a non-Newtonian tangent hyperbolic material flow through a vertical microchannel with a quadratic density temperature fluctuation(quadratic/nonlinear Boussinesq approximation)is performed in the present study.The impacts of the hydrodynamic flow and Newton’s thermal conditions on the flow,heat transfer,and entropy generation are analyzed.The governing nonlinear equations are solved with the spectral quasi-linearization method(SQLM).The obtained results are compared with those calculated with a finite element method and the bvp4c routine.In addition,the effects of key parameters on the velocity of the hyperbolic tangent material,the entropy generation,the temperature,and the Nusselt number are discussed.The entropy generation increases with the buoyancy force,the pressure gradient factor,the non-linear convection,and the Eckert number.The non-Newtonian fluid factor improves the magnitude of the velocity field.The power-law index of the hyperbolic fluid and the Weissenberg number are found to be favorable for increasing the temperature field.The buoyancy force caused by the nonlinear change in the fluid density versus temperature improves the thermal energy of the system.展开更多
Biological processes such as nutrient transport in tissues,and blood transport in mammalian systems are among the phenomena where a temperature gradient induces mass transfer of a multicomponent fluids.This occurs bec...Biological processes such as nutrient transport in tissues,and blood transport in mammalian systems are among the phenomena where a temperature gradient induces mass transfer of a multicomponent fluids.This occurs because different species in the fluid respond differently to temperature variations,leading to a separation effect.Given these notable dynamics,efficient management of solute-thermal flux phenomenon is essential across various systems and biomedical designs to achieve the necessary improvements for optimizing engineering system performance.As such,investigation herein present the dynamics of cross temperature and concentration gradient and predict mathematically the flux interactions in Ammonia-Prandtl Eyring nanofluid flow through an inclined vertical surface.A mathematical model of a non-Newtonian Prandtl Eyring fluid(PEF)is developed to represent physical systems exhibiting different diffusivities,subject to convective boundary conditions and solute-thermal flux interactions.The Ammonia-PE(NH 3-PE)nanofluid is proposed as a multi-component composition in water with nanoparticle aiming to significantly enhance the thermal properties in water through the Buongiorno’s nanofluid model.Additionally,radiative heat transfer and the Dufour effect are considered to enhance mixed convection dynamics.Group symmetry analysis is performed to reduce the governing partial differential equations into a system of ordinary differential equations(ODEs).A robust and efficient numerical scheme,spectral quasi-linearization method(SQLM)is utilized to investigate the dynamics of the ODE systems while the computational framework was implemented.Furthermore,statistical analysis via response surface methodology(RSM)is deployed to predict flow formation and optimise system behaviour.Results predict the dominance of convection process and enhanced momentum drag force,leading to a decrease in fluid flow and energy transfer.A higher PEF parameter enhances fluid internal molecular friction,identifying energy due to viscous heating dominant.The mixed convection and gravitational interplay assists flow rate more strongly as inclination increases.The prediction model identified that,minimum heat transfer rate can only be achieved with dominant convective heating,minimal PEF contribution and higher thermal effect.展开更多
文摘In many industrial applications,heat transfer and tangent hyperbolic fluid flow processes have been garnering increasing attention,owing to their immense importance in technology,engineering,and science.These processes are relevant for polymer solutions,porous industrial materials,ceramic processing,oil recovery,and fluid beds.The present tangent hyperbolic fluid flow and heat transfer model accurately predicts the shear-thinning phenomenon and describes the blood flow characteristics.Therefore,the entropy production analysis of a non-Newtonian tangent hyperbolic material flow through a vertical microchannel with a quadratic density temperature fluctuation(quadratic/nonlinear Boussinesq approximation)is performed in the present study.The impacts of the hydrodynamic flow and Newton’s thermal conditions on the flow,heat transfer,and entropy generation are analyzed.The governing nonlinear equations are solved with the spectral quasi-linearization method(SQLM).The obtained results are compared with those calculated with a finite element method and the bvp4c routine.In addition,the effects of key parameters on the velocity of the hyperbolic tangent material,the entropy generation,the temperature,and the Nusselt number are discussed.The entropy generation increases with the buoyancy force,the pressure gradient factor,the non-linear convection,and the Eckert number.The non-Newtonian fluid factor improves the magnitude of the velocity field.The power-law index of the hyperbolic fluid and the Weissenberg number are found to be favorable for increasing the temperature field.The buoyancy force caused by the nonlinear change in the fluid density versus temperature improves the thermal energy of the system.
文摘Biological processes such as nutrient transport in tissues,and blood transport in mammalian systems are among the phenomena where a temperature gradient induces mass transfer of a multicomponent fluids.This occurs because different species in the fluid respond differently to temperature variations,leading to a separation effect.Given these notable dynamics,efficient management of solute-thermal flux phenomenon is essential across various systems and biomedical designs to achieve the necessary improvements for optimizing engineering system performance.As such,investigation herein present the dynamics of cross temperature and concentration gradient and predict mathematically the flux interactions in Ammonia-Prandtl Eyring nanofluid flow through an inclined vertical surface.A mathematical model of a non-Newtonian Prandtl Eyring fluid(PEF)is developed to represent physical systems exhibiting different diffusivities,subject to convective boundary conditions and solute-thermal flux interactions.The Ammonia-PE(NH 3-PE)nanofluid is proposed as a multi-component composition in water with nanoparticle aiming to significantly enhance the thermal properties in water through the Buongiorno’s nanofluid model.Additionally,radiative heat transfer and the Dufour effect are considered to enhance mixed convection dynamics.Group symmetry analysis is performed to reduce the governing partial differential equations into a system of ordinary differential equations(ODEs).A robust and efficient numerical scheme,spectral quasi-linearization method(SQLM)is utilized to investigate the dynamics of the ODE systems while the computational framework was implemented.Furthermore,statistical analysis via response surface methodology(RSM)is deployed to predict flow formation and optimise system behaviour.Results predict the dominance of convection process and enhanced momentum drag force,leading to a decrease in fluid flow and energy transfer.A higher PEF parameter enhances fluid internal molecular friction,identifying energy due to viscous heating dominant.The mixed convection and gravitational interplay assists flow rate more strongly as inclination increases.The prediction model identified that,minimum heat transfer rate can only be achieved with dominant convective heating,minimal PEF contribution and higher thermal effect.
