Heat and Mass Transfer in the Casson Nanofluid Flow Over a Stretching Cylinder in Cylindrical Coordinates

XU Xiao-qin; CHEN Shu-mei

doi:10.21656/1000-0887.370091

Volume 37 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(9): 969-980

XU Xiao-qin, CHEN Shu-mei. Heat and Mass Transfer in the Casson Nanofluid Flow Over a Stretching Cylinder in Cylindrical Coordinates[J]. Applied Mathematics and Mechanics, 2016, 37(9): 969-980. doi: 10.21656/1000-0887.370091

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Heat and Mass Transfer in the Casson Nanofluid Flow Over a Stretching Cylinder in Cylindrical Coordinates

doi: 10.21656/1000-0887.370091

XU Xiao-qin^1,2,
CHEN Shu-mei²

¹Automobile Application Engineering Dep., Fujian Chuanzheng Communications College, Fuzhou 350007, P.R.China;²School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, P.R.China

Received Date: 2016-03-29
Rev Recd Date: 2016-05-31
Publish Date: 2016-09-15

Abstract

Abstract

For the first time the cylindrical coordinates were employed to study the heat and mass transfer in the steady laminar Casson nanofluid flow over a stretching cylinder in view of velocity slip and convective surface boundary conditions. The governing partial differential equations (PDEs) were transformed into highly nonlinear coupled ordinary differential equations (ODEs) via appropriate similarity transformations and then solved numerically with the shooting method. The effects of different physical parameters on velocity profiles, temperature and concentration distributions were presented graphically and analyzed in detail. The results show that the velocity is strongly influenced by the slip parameter, while the temperature and the concentration are sensitive to the Biot number and the Lewis number respectively. An increase in the Casson parameter will decelerate the flow but elevate the temperature and the concentration. Increasing the Brownian motion parameter or the thermophoresis parameter will raise the temperature. A larger concentration will come with a lower Brownian motion parameter or a higher thermophoresis parameter. The back flow exists in the concentration profile for relatively large values of the thermophoresis parameter.
- cylindrical coordinate,
- Casson nanofluid,
- stretching cylinder,
- boundary layer flow,
- velocity slip,
- convective boundary condition

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