scholarly journals Free convection flow of power law fluid in a vertical cylinder of finite height

1995 ◽  
Vol 17 (2) ◽  
pp. 34-39
Author(s):  
Nguyen Van Que
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Power Law ◽  
Average Velocity ◽  
Vertical Cylinder ◽  
Convection Flow ◽  
Power Law Fluid ◽  
Free Convection Flow ◽  
Finite Height ◽  
Good Agreement

A numerical solution has been presented for free convection flow of power law fluid in a vertical cylinder of finite height. The average velocity along the channel and the heat transfer have been calculated. Graphs of velocities and temperature are shown. The results show good agreement with analytic one in the asymptotic case.

scholarly journals Free convection flow in vertical cylinder with heat sources of power law fluid

1996 ◽  
Vol 18 (3) ◽  
pp. 23-27
Author(s):  
Vu Duy Quang ◽  
Nguyen Van Que
Keyword(s):  
Finite Difference Method ◽  
Free Convection ◽  
Power Law ◽  
Channel Wall ◽  
Cylindrical Channel ◽  
Vertical Cylinder ◽  
Convection Flow ◽  
Heat Sources ◽  
Power Law Fluid ◽  
Free Convection Flow

In this paper the free convection flow of power law fluid in cylindrical channel with heat sources is investigated. The heat sources are in the fluid as well as inside the channel wall and are assumed constant and uniform distributed. The problem is solved by finite difference method. An asymptotic solution is given. The results with heat sources and without ones are compared.

Numerical Investigation of Unsteady Multiphase Nanofluid-Free Convection Flow About a Vertical Cylinder With Non-Uniform Temperature

2019 ◽  
Vol 12 (3) ◽  
Author(s):  
Marneni Narahari ◽  
S. Suresh Kumar Raju ◽  
Rajashekhar Pendyala ◽  
Suhaib Umer Ilyas
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Surface Temperature ◽  
Numerical Investigation ◽  
Power Law ◽  
Wall Temperature ◽  
Vertical Cylinder ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Power Law Exponent

Abstract A numerical investigation on the transient-free convection flow of the multiphase nanofluid past a vertical cylinder, which has a power-law variation surface temperature along with the height, is presented. The problem has typical engineering applications involving cooling of vertical cylindrical rods in mechanical/manufacturing systems, cooling of nuclear reactors, and the design of other advanced cooling technologies. Buongiorno’s model is applied in this research, which incorporates thermophoresis and Brownian diffusion effects of nanoparticles. The zero-volume flux condition is implemented for nanoparticle concentration at the boundary to obtain realistic results. A robust second-order accurate finite-difference scheme of Crank–Nicolson type is applied to tackle the system of coupled non-linear partial differential equations numerically. The impacts of time, variable surface temperature power-law exponent, Brownian and thermophoresis parameters are investigated on nanofluid flow and heat transfer aspects. The decisive finding suggests that the effect of the power-law exponent of the variable wall temperature is to reduce the nanoparticle relocation, velocity, and temperature in the nanofluid boundary layer causing the heat transfer enhancement. The skin-friction decreased significantly with the rise of the power-law exponent of the wall temperature. The present numerical scheme is corroborated by comparing the average skin-friction results with the available literature for clear fluid.

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