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Investigation of nanofluid flow in a vertical channel considering polynomial boundary conditions by akbari-ganji’s method

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Theoretical & Applied Mechanics Letters 2022年第4期12卷 257-266页

作者： M.Fallah Najafabadi H.TalebiRostami Kh.Hosseinzadeh D.D.ganji Department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran Department of Mechanical Engineering Amirkabir University of TechnologyTehranIran

In this research,a vertical channel containing a laminar and fully developed nanofluid flow is *** channel surface’s boundary conditions for temperature and volume fraction functions are considered qth-order *** equations related to this problem have been extracted and then solved by the AGM and validated through the Runge-Kutta numerical method and another similar *** the study,the effect of parameters,including Grashof number,Brownian motion parameter,etc.,on the motion,velocity,temperature,and volume fraction of nanofluids have been *** results demonstrate that increasing the Gr number by 100%will increase the velocity profile function by 78%and decrease the temperature and fraction profiles by 20.87%and 120.75%.Moreover,rising the Brownian motion parameter in five different sizes(0.1,0.2,0.3,0.4,and 0.5)causes lesser velocity,about 24.3%at first and 4.35%at the last level,and a maximum 52.86%increase for temperature and a 24.32%rise for ψ occurs when N b rises from 0.1 to *** all N_(t) values,at least 55.44%,18.69%,for F(η),andΩ(η),and 20.23%rise for ψ(η)function is ***,enlarging the N r parameter from 0.25 to 0.1 leads F(η)to rise by 199.7%,fluid dimensionless temperature,and dimensional volume fraction to decrease by 18%and 92.3%.In the end,a greater value of q means a more powerful energy source,amplifying all velocity,temperature,and volume fraction *** main novelty of this research is the combined convection qth-order polynomials boundary condition applied to the channel ***,The AMG semi-analytical method is used as a novel method to solve the governing equations.

关键词： akbari-ganji’s method Nanofluid Vertical channel Combined convection Polynomial boundary condition

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