This study presents a numerical analysis of the steady-state solution for transient magnetohydrodynamic(MHD)dissipative and radiative fluid flow,incorporating an inducedmagnetic field(IMF)and considering a relatively ...This study presents a numerical analysis of the steady-state solution for transient magnetohydrodynamic(MHD)dissipative and radiative fluid flow,incorporating an inducedmagnetic field(IMF)and considering a relatively high concentration of foreign mass(accounting for Soret and Dufour effects)over a vertically oriented semi-infinite plate.The governing equations were normalized using boundary layer(BL)approximations.The resulting nonlinear system of partial differential equations(PDEs)was discretized and solved using an efficient explicit finite difference method(FDM).Numerical simulations were conducted using MATLAB R2015a,and the developed numerical code was verified through comparison with another code written in FORTRAN 6.6a.To ensure the reliability of the results,both mesh refinement and steady-state time validation tests were performed.Furthermore,a comparison with existing published studies was made to confirm the accuracy of the findings.The dimensionless equations revealed the impacts of several key parameters.The IMF initially intensifies near the plate before gradually diminishing as the magnetic parameter increases.For the range 0≤y≤1.8(where y is the horizontal direction),the IMF decreases with a rise in the magnetic Prandtl number;however,for 1.8≤y≤7(approximately),the magnetic field begins to increase.Beyond this,the profile of the magnetic field becomes somewhat irregular through the remaining part of the BL.展开更多
The present study investigates magnetohydrodynamic(MHD)natural convection of Al2O3-water nanofluid in a wavy square cavity containing a heated semicircular obstacle using the Finite Element Method(FEM).The top wavy wa...The present study investigates magnetohydrodynamic(MHD)natural convection of Al2O3-water nanofluid in a wavy square cavity containing a heated semicircular obstacle using the Finite Element Method(FEM).The top wavy wall of the cavity is maintained at a cold temperature(T_(c)),while the bottom wall and semicircular obstacle are heated to a higher temperature(T_(h)),with the vertical walls kept thermally insulated.Parametric analysis is carried out for Rayleigh numbers in the range of 10^(3)≤Ra≤10^(5),nanoparticle volume fractions 0≤φ≤0.05,and Hartmann numbers 0≤Ha≤100.Flow structures and heat transport are illustrated through streamlines,isotherms,velocity,and temperature profiles,along with the average Nusselt number.Results show that increasing Ra enhances buoyancy-driven convection and improves heat transfer,while higher nanoparticle volume fractions(φ)further augment the thermal performance due to enhanced conductivity of the nanofluid.In contrast,stronger magnetic fields(higher Ha)suppress convective circulation and reduce heat transfer rates.A maximum enhancement of approximately 19.8%in Nuav is observed atφ=0.05 compared with the base fluid,whereas heat transfer decreases noticeably with increasing Ha.The combined effects of cavity geometry,nanoparticle loading,and magnetic field highlight the complex interplay between buoyancy and Lorentz forces,offering valuable insights for the design of thermally efficient nanofluid-based systems.展开更多
基金supported by the NST Fellowship under the Ministry of Science and Technology,Government of the People’s Republic of Bangladesh(Session:2019–2020,merit number:334,serial number:714,physical science).
文摘This study presents a numerical analysis of the steady-state solution for transient magnetohydrodynamic(MHD)dissipative and radiative fluid flow,incorporating an inducedmagnetic field(IMF)and considering a relatively high concentration of foreign mass(accounting for Soret and Dufour effects)over a vertically oriented semi-infinite plate.The governing equations were normalized using boundary layer(BL)approximations.The resulting nonlinear system of partial differential equations(PDEs)was discretized and solved using an efficient explicit finite difference method(FDM).Numerical simulations were conducted using MATLAB R2015a,and the developed numerical code was verified through comparison with another code written in FORTRAN 6.6a.To ensure the reliability of the results,both mesh refinement and steady-state time validation tests were performed.Furthermore,a comparison with existing published studies was made to confirm the accuracy of the findings.The dimensionless equations revealed the impacts of several key parameters.The IMF initially intensifies near the plate before gradually diminishing as the magnetic parameter increases.For the range 0≤y≤1.8(where y is the horizontal direction),the IMF decreases with a rise in the magnetic Prandtl number;however,for 1.8≤y≤7(approximately),the magnetic field begins to increase.Beyond this,the profile of the magnetic field becomes somewhat irregular through the remaining part of the BL.
文摘The present study investigates magnetohydrodynamic(MHD)natural convection of Al2O3-water nanofluid in a wavy square cavity containing a heated semicircular obstacle using the Finite Element Method(FEM).The top wavy wall of the cavity is maintained at a cold temperature(T_(c)),while the bottom wall and semicircular obstacle are heated to a higher temperature(T_(h)),with the vertical walls kept thermally insulated.Parametric analysis is carried out for Rayleigh numbers in the range of 10^(3)≤Ra≤10^(5),nanoparticle volume fractions 0≤φ≤0.05,and Hartmann numbers 0≤Ha≤100.Flow structures and heat transport are illustrated through streamlines,isotherms,velocity,and temperature profiles,along with the average Nusselt number.Results show that increasing Ra enhances buoyancy-driven convection and improves heat transfer,while higher nanoparticle volume fractions(φ)further augment the thermal performance due to enhanced conductivity of the nanofluid.In contrast,stronger magnetic fields(higher Ha)suppress convective circulation and reduce heat transfer rates.A maximum enhancement of approximately 19.8%in Nuav is observed atφ=0.05 compared with the base fluid,whereas heat transfer decreases noticeably with increasing Ha.The combined effects of cavity geometry,nanoparticle loading,and magnetic field highlight the complex interplay between buoyancy and Lorentz forces,offering valuable insights for the design of thermally efficient nanofluid-based systems.
