The impacts of radiation,mass transpiration,and volume fraction of carbon nanotubes on the flow of a Newtonian fluid past a porous stretching/shrinking sheet are investigated.For this purpose,three types of base liqui...The impacts of radiation,mass transpiration,and volume fraction of carbon nanotubes on the flow of a Newtonian fluid past a porous stretching/shrinking sheet are investigated.For this purpose,three types of base liquids are considered,namely,water,ethylene glycol and engine oil.Moreover,single and multi-wall carbon nanotubes are examined in the analysis.The overall physical problem is modeled using a system of highly nonlinear partial differential equations,which are then converted into highly nonlinear third order ordinary differential equations via a suitable similarity transformation.These equations are solved analytically along with the corresponding boundary conditions.It is found that the carbon nanotubes can significantly improve the heat transfer process.Their potential application in cutting-edge areas is also discussed to a certain extent.展开更多
In this paper,single-phase homogeneous nanofluid model is proposed to investigate the natural convection of magneto-hydrodynamic(MIID)flow of Newtonian Cu—H20 nanoliquid in a baffled U-shaped enclosure.The Brin...In this paper,single-phase homogeneous nanofluid model is proposed to investigate the natural convection of magneto-hydrodynamic(MIID)flow of Newtonian Cu—H20 nanoliquid in a baffled U-shaped enclosure.The Brinkman model and Wasp model are considered to measure the effective dynamic viscosity and effective thermal conductivity of the nanoliquid coreespondingly.Nanoliquid's effective properties such as specific heat,density and thermal expansion coefficient are modeled using mixture theory.The complicated PDS(partial differential system)is treated for numeric solutions via the Galerkin finite element method.The pertinent parameters Hartmann number(1≤Ha≤60),Rayleigh number(10^(3)≤Ra≤10^(6))and nanoparticles volume fraction (0% ≤Ф≤4%) are taken for the parametric analysis, and it is conducted via streamlines and isotherms. Excellent agreement between numerical results and open literature. It is ascertained that heat transfer rate enhances with Rayleigh number Ra and volume fraction 0, however it is diminished for laiger Hartmann number Ha.展开更多
文摘The impacts of radiation,mass transpiration,and volume fraction of carbon nanotubes on the flow of a Newtonian fluid past a porous stretching/shrinking sheet are investigated.For this purpose,three types of base liquids are considered,namely,water,ethylene glycol and engine oil.Moreover,single and multi-wall carbon nanotubes are examined in the analysis.The overall physical problem is modeled using a system of highly nonlinear partial differential equations,which are then converted into highly nonlinear third order ordinary differential equations via a suitable similarity transformation.These equations are solved analytically along with the corresponding boundary conditions.It is found that the carbon nanotubes can significantly improve the heat transfer process.Their potential application in cutting-edge areas is also discussed to a certain extent.
基金the Algerian Ministry of Higher Education and Scientific Research through PRFU project no B00L02UN210120180002the General Directorate of Scientific Research and Technological Development(DGRSDT),Algeria.
文摘In this paper,single-phase homogeneous nanofluid model is proposed to investigate the natural convection of magneto-hydrodynamic(MIID)flow of Newtonian Cu—H20 nanoliquid in a baffled U-shaped enclosure.The Brinkman model and Wasp model are considered to measure the effective dynamic viscosity and effective thermal conductivity of the nanoliquid coreespondingly.Nanoliquid's effective properties such as specific heat,density and thermal expansion coefficient are modeled using mixture theory.The complicated PDS(partial differential system)is treated for numeric solutions via the Galerkin finite element method.The pertinent parameters Hartmann number(1≤Ha≤60),Rayleigh number(10^(3)≤Ra≤10^(6))and nanoparticles volume fraction (0% ≤Ф≤4%) are taken for the parametric analysis, and it is conducted via streamlines and isotherms. Excellent agreement between numerical results and open literature. It is ascertained that heat transfer rate enhances with Rayleigh number Ra and volume fraction 0, however it is diminished for laiger Hartmann number Ha.
